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Chilton's Powertrain Codes & Oxygen Sensors 1990-1999
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This service manual covers all US and Canadian models, domestic and imported, from 1990 thru 1999. Provides powertrain codes and maintenance light resetting, and oxygen sensors.
Professional Service Manuals — Designed for today?s Professional Technician, Chilton?s Professional Service Manuals on automotive repair are more comprehensive and technically detailed, offering TOTAL maintenance, service, and repair information for the automotive professional.
Information is provided in an easy-to-read format, supported by quick-reference sections as well as exploded-view illustrations, diagrams, and charts. All this at the user?s fingertips insures fast, accurate repairs.
Important Notice: These books are intended for professional mechanics and are not recommended for the do-it-yourselfer. In order to use them properly, a high level of mechanical knowledge and/or training is required. All returned professional manuals are subject to a 20% restocking fee.
- Publisher: Clymer Series / Haynes Manuals
- Pages: 372 - Black & white illustrations
- Binding: Paperback - 8 x 11 inches
- Years: 1990 - 1999
Questions & Answers about Chilton's Powertrain Codes & Oxygen Sensors 1990-1999
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I was assigned to do the index for our IDEA 22 history yearbook. The brainstorming process started with me doing thumbnail sketches with different themes (ancient greek/roman, avant-garde styles inspired by modern art/design movements). At the end, I decided to incorporate Bauhaus poster and book design style on my index page.
Some of the elements I really emphasized on were the big-sized numbers and negative space inspired by Bauhaus posters and book covers.The spontaneous style of the spot illustration behind as well as the small survey titles also add another contrasting effect. Overall, I would give myself a 7.5 out of 10. I really enjoyed painting and inking the spot illustrations. I had a fun time planning the artistic themes for each period as well. However, since I had to add the number cut-outs at the very end, the main thing I wasn't satisfied with was the fact that the big numbers completely take away the spotlight for the illustrations. I feel like each illustration provides an unique artistic style from different movements. It would have been better if I could do place the numbers first and plan the illustrations afterwards.

subset: commoncrawl


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Jason C. Eckhardt: Off the Ancient Track: A Lovecraftian Guide to New England & Adjacent New York (revised 2013 ed. published by the artist.)
In 2013, artist Jason Eckhardt was inspired to update and re-issue his popular Lovecraftian guidebook ... the stars were right! What he ended up with was an almost totally different version, bigger and better than the original guide (published 1987). All of the original drawings have been re-done, as well as the maps. Also, there is new original material published here for the first time.
If you're planning a Lovecraftian trip, this guide is for you. Even if your travel plans don't find you in New England, you'll feel like you're there! Finally, as an added bonus, New England's nefarious potholes have been omitted! Pack up the car, get the kids, and embark on a trip like no other!


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Walking down Main Street, this is what folks are talking about in towns across the U.S.A. Good Americans, who have been betrayed by the Uniparty and the Deep State in Washington D.C., have a lot on their minds and are crying out for new leadership. Thankfully, on November 8, 2016, their voices were heard loud and clear!
May 2, 2019
62 Years Have Passed Since A Great American Died, And He Continues To Be Smeared To This Day.
It's been 62 years since the death of an American patriot who inspired millions, and yet earned the ongoing hatred of America's elites.
Senator Joseph Raymond McCarthy of Appleton, Wisconsin, led a vanguard of patriots in fighting the infiltration of the American government and cultural institutions by communists under the direct influence of the Kremlin.
These agents of evil directly colluded to undermine America. For his efforts, McCarthy's name became an epithet. The charge of "McCarthyism" continues to be leveled against those who dare to take on subversive forces.
Both Democrats and Republicans alike use "McCarthyism" to insult opponents, which means the GOP offenders perpetuate the unfair smear against one of the party's real champions.
What all overlook is the fact that on May 2, 1957, Senator McCarthy was murdered in the National Naval Medical Center in Bethesda, Maryland.
His death came as a shock to everyday citizens and Washington denizens alike, but it was portrayed as the result of heavy drinking that caused his fatal acute hepatitis. The news media of the day, and historians to this day, continue the false narrative, despite the clear evidence that he did not have cirrhosis.
J.C. Hawkins' groundbreaking book, Betrayal at Bethesda: The Intertwined Fates of James Forrestal, Joseph McCarthy and John F. Kennedy, provides insight into McCarthy's sudden and unexpected death, and lays out the real cause that points directly to murder.
Renowned author Diana West devoted a blog on her website to the origin of the "McCarthyism" term and how it was spread to smear the senator and his supporters:
In short, Gus Hall, leader of the U.S. Communist Party, got his marching orders straight from the Kremlin on how to counter the rise of Joseph McCarthy as a leader in the fight against domestic and global communism. It's worth noting that as a young man, former CIA director and current traitor John Brennan admitted to voting for Gus Hall for president.
Sadly, the useful idiots in the news media and academia ran with the term and were joined by Democrats and Republicans who were not amused by the aggressive tactics used by McCarthy and his team of investigators.
Equally distressed was President Dwight Eisenhower, who did not want McCarthy to investigate the Central Intelligence Agency (CIA) and U.S. Army being infiltrated by questionable people. Ike ordered his staff and selected government leaders to form a behind-the-scenes cabal to help bring McCarthy down and destroy his crusade against communism.
The greatest revelation uncovered by Hawkins is that McCarthy fully intended to investigate the strange death of General George S. Patton, Jr., which he contended was a "murder." When you consider who had the most to gain by Patton's death, the list is incredibly lengthy. The names involved are particularly shocking and will be included in Hawkins' update to Betrayal at Bethesda, which is in progress.
Betrayal at Bethesda reveals more about what transpired and who the culprits might have been in the senator's demise. It also breaks ground by revealing how McCarthy's fate was intertwined with those of former Defense Secretary James Forrestal and President John F. Kennedy, two other staunch anti-communists.
McCarthy's death occurred right on the heels of May 1, recognized worldwide by communists as International Workers Day. It's highly likely the plot to kill the senator got underway partly as a response to the observance when the opportunity was presented by his admission to the hospital with a knee injury.
The treachery behind McCarthy's death is ongoing as school and college textbooks continue to smear him, aided by GOP turncoats who betray his anti-communist legacy to curry favor with The Elite Traitor Media that will always hate their guts, no matter how much they pander.
Those of us on The Forgotten Street, Main Street USA, had no greater champion that Joe McCarthy, whose working class roots, heroic service in World War II, and unflagging patriotism represented the best of America.
For his efforts, all he got was calumny and scorn from the elites who've been selling out America for decades.
Thanks for reading! We see more treachery against President Trump and his administration unfolding by the shameful and disgusting attack on Attorney General William Barr.
The treasonous Democrats will pull out all the stops to smear Barr in order to render ineffective his upcoming prosecutions against the CIA, FBI, Democrat and Republican traitors who've been trying to overthrow the results of the 2016 election. Aiding and abetting them are the true Enemy of the People, The Elite Traitor Media.
These elites are using the same playbook they used to oust Richard Nixon after his historic electoral victory. For the sake of our republic, we must not let them carry out another coup.
Previously, they used violence to end the reign of John F. Kennedy, and we must pray they don't use the same treason against President Donald Trump.
We live in dangerous times when Democrats have thrown all caution to the winds to undermine the Trump administration and disrupt our economy.
They offer no positive agenda for America, only fascist tactics to bring about a communist regime that will totally destroy our way of life.
April was yet another record month for The Forgotten Street, with our readership exceeding March's record-seeing totals. We're delighted to thank our foreign visitors from the following locations: Red China; The European Union; The United Kingdom; The Czech Republic; Germany; The Russian Federation; Canada; Vietnam; France; Australia; Indonesia; Italy; Japan; the Netherlands; Romania; Brazil; Belarus; Ireland; The United Arab Emirates; Switzerland; Montenegro; Poland; Tajikistan; The Ukraine.
For those of you interested in J.C.'s book, Betrayal at Bethesda: The Intertwined Fates of James Forrestal, Joseph McCarthy and John F. Kennedy, it can be found in paperback and Kindle versions at Amazon.com:
J. C. is available for speaking engagements and media interviews regarding Betrayal at Bethesda and his ongoing research. He may be contacted by email at: email@example.com.
We greatly appreciate your support. Please tell friends, neighbors and family about the unique perspective we bring to today's events. May God bless you all!


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Patrick Janot
CERN, PH Department, Geneva, Switzerland
An optimal-observable analysis of the lepton angular and energy distributions from top-quark pair production with semi-leptonic decays in \({\rm e^{+}e^{-}}\) collisions is used to predict the potential sensitivity of the FCC-ee to the couplings of the top quark to the photon and the Z.
The design study of the Future Circular Colliders (FCC) in a 100-km ring in the Geneva area has started at CERN at the beginning of 2014, as an option for post-LHC particle accelerators. The study has an emphasis on proton-proton and electron-positron high-energy frontier machines (FCC 2015). In the current plans, the first step of the FCC physics programme would exploit a high-luminosity \({\rm e^{+}e^{-}}\) collider called FCC-ee, with centre-of-mass energies ranging from below the Z pole to the \({\rm t\bar{t}}\) threshold and beyond. A first look at the physics case of the FCC-ee can be found in Ref. (Bicer 2014).
In this first look, the focus regarding top-quark physics was on precision measurements of the top-quark mass, width, and Yukawa coupling through a scan of the \({\rm t\bar{t}}\) production threshold, with \(\sqrt{s}\) comprised between 340 and 350 GeV. The expected precision on the top-quark mass was in turn used, together with the outstanding precisions on the Z peak observables and on the W mass, in a global electroweak fit to set constraints on weakly-coupled new physics up to a scale of 100 TeV. Although not studied in the first look, measurements of the top-quark electroweak couplings are of interest, as new physics might also show up via significant deviations of these couplings with respect to their standard-model predictions. Theories in which the top quark and the Higgs boson are composite lead to such deviations. The inclusion of a direct measurement of the ttZ coupling in the global electroweak fit is therefore likely to further constrain these theories.
It has been claimed that both a centre-of-mass energy well beyond the top-quark pair production threshold and a large longitudinal polarization of the incoming electron and positron beams are crucially needed to independently access the tt\(\gamma\) and the ttZ couplings for both chirality states of the top quark. In Ref. (Baer 2013), it is shown that the measurements of the total event rate and the forward-backward asymmetry of the top quark, with 500 \({\rm fb}^{-1}\) at \(\sqrt{s}=500\) GeV and with beam polarizations of \({\cal P}=\pm 0.8\), \({\cal P}^{\prime}=\mp 0.3\), allow for this distinction.
The aforementioned claim is revisited in the present study. The sensitivity to the top-quark electroweak couplings is estimated here with an optimal-observable analysis of the lepton angular and energy distributions of over a million events from \({\rm t\bar{t}}\) production at the FCC-ee, in the \(\ell\nu{\rm q\bar{q}b\bar{b}}\) final states (with \(\ell={\rm e}\) or \(\mu\)), without incoming beam polarization and with a centre-of-mass energy not significantly above the \({\rm t\bar{t}}\) production threshold.
Such a sensitivity can be understood from the fact that the top-quark polarization arising from its coupling to the Z is maximally transferred to the final state particles via the weak top-quark decay \({\rm t\to Wb}\) with a 100% branching fraction: the lack of initial polarization is compensated by the presence of substantial final state polarization, and by a larger integrated luminosity. A similar situation was encountered at LEP, where the measurement of the total rate of \({\rm Z}\to\tau^{+}\tau^{-}\) events and of the tau polarization was sufficient to determine the tau couplings to the Z, regardless of initial state polarization (Jadach 1989, Schael 2006).
This letter is organized as follows. First, the reader is briefly reminded of the theoretical framework. Next, the statistical analysis of the optimal observables is described, and realistic estimates for the top-quark electroweak coupling sensitivities are obtained as a function of the centre-of-mass energy at the FCC-ee. Finally, the results are discussed, and prospects for further improvements are given.
The top-quark couplings to the photon and the Z can be parameterized in several ways. In Ref. (Baer 2013), for example, the analysis makes use of the usual form factors denoted \(F_{1}\), \(F_{2}\), defined in the following expression (with \(X=\gamma,Z\)):\begin{equation} \Gamma_{\mu}^{ttX}=-ie\left\{\gamma_{\mu}\left(F_{1V}^{X}+\gamma_{5}F_{1A}^{X}\right)+{\sigma_{\mu\nu}\over 2m_{\rm t}}(p_{t}+p_{\bar{t}})^{\nu}\left(iF_{2V}^{X}+\gamma_{5}F_{2A}^{X}\right)\right\},\\ \end{equation}
with, in the standard model, vanishing \(F_{2}\)s and\begin{aligned} F_{1V}^{\gamma}=-{2\over 3} & , & F_{1V}^{Z}={1\over 4\sin\theta_{W}\cos\theta_{W}}\left(1-{8\over 3}\sin^{2}\theta_{W}\right)\ , \\ F_{1A}^{\gamma}=0 & , & F_{1A}^{Z}={1\over 4\sin\theta_{W}\cos\theta_{W}}\ .\\ \end{aligned}
The sensitivities are expressed therein in terms of \(\tilde{F}_{1}\), \(\tilde{F}_{2}\) defined as\begin{equation} \tilde{F}_{1V}^{X}=-({F}_{1V}^{X}+{F}_{2V}^{X})\ ,\ \tilde{F}_{2V}^{X}={F}_{2V}^{X}\ ,\ \tilde{F}_{1A}^{X}=-{F}_{1A}^{X}\ ,\ \tilde{F}_{2A}^{X}=-i{F}_{2A}^{X}\ .\\ \end{equation}
On the other hand, the optimal-observable statistical analysis presented in the next section, based on Ref. (Grzadkowski 2000), uses the following \(A,B,C,D\) parameterization (with \(v=\gamma,Z\)):
which easily relates to the previous parameterization with\begin{aligned} A_{v}+\delta A_{v}=-2i\sin\theta_{W}\left(F_{1V}^{X}+F_{2V}^{X}\right) & \ , & B_{v}+\delta B_{v}=-2i\sin\theta_{W}F_{1A}^{X}\ , \\ \delta C_{v}=-2i\sin\theta_{W}F_{2V}^{X} & \ , & \delta D_{v}=-2\sin\theta_{W}F_{2A}^{X}\ .\\ \end{aligned}
The expected sensitivities on the anomalous top-quark couplings can be derived in any of these parameterizations. Although originally derived with that of Ref. (Grzadkowski 2000), the final estimates presented in this study, however, use the parameterization of Ref. (Baer 2013), for an easy comparison. For the same reason, \crossalthough it is not needed, the same restrictions as in Ref. (Baer 2013) are applied here: only the six CP conserving form factors are considered (i.e., the two \(F_{2A}^{X}\) are both assumed to vanish), and either the four form factors \(F_{1V,A}^{X}\) are varied simultaneously while the two \(F_{2V}^{X}\) are fixed to their standard model values, or vice-versa. A careful reading of Ref. (Baer 2013) shows that the form factor \(F_{1A}^{\gamma}\) was also kept to its standard model value, as a non-zero value would lead to gauge-invariance violation. It is straightforward to show that, under these restrictions, the three parameterizations lead to the same sensitivities on \(F_{i}\), \(\tilde{F}_{i}\) and \(A,B,C,D\) (with a multiplicative factor \(2\sin\theta_{W}\sim 0.96\) for the latter set).
The tree-level angular and energy distributions of the lepton arising from the \({\rm t\bar{t}}\) semi-leptonic decays are known analytically as a function of the incoming beam polarizations and the centre-of-mass energy (Grzadkowski 2000):\begin{equation} {{\rm d}^{2}\sigma\over{\rm d}x{\rm d}\cos\theta}={3\pi\beta\alpha^{2}(s)\over 2s}B_{\ell}S_{\ell}(x,\cos\theta),\\ \end{equation}
where \(\beta\) is the top velocity, \(s\) is the centre-of-mass energy squared, \(\alpha(s)\) is the QED running coupling constant, and \(B_{\ell}\) is the fraction of \({\rm t\bar{t}}\) events with at least one top quark decaying to either \({\rm e}\nu_{\rm e}{\rm b}\) or \(\mu\nu_{\mu}{\rm b}\) (about 44%). As the non-standard form factors \(\delta(A,B,C,D)_{v}\equiv\delta_{i}\) are supposedly small, only the terms linear in \(\delta_{i}\) are kept:\begin{equation} \label{eq:optimal} \label{eq:optimal}S(x,\theta)=S^{0}(x,\theta)+\sum_{i=1}^{8}\delta_{i}f_{i}(x,\cos\theta),\\ \end{equation}
where \(x\) and \(\theta\) are the lepton (reduced) energy and polar angle, respectively, and \(S^{0}\) is the standard-model contribution. The eight distributions \(f_{A,B,C,D}^{\gamma,Z}(x,\cos\theta)\equiv f_{i}(x,\cos\theta)\) and the standard-model contribution \(S^{0}(x,\cos\theta)\) are shown for \(\ell^{-}\) in Fig. \ref{fig:distributions} at \(\sqrt{s}=365\) GeV, with no incoming beam polarization.
There are nine different functions entering Eq. \ref{eq:optimal}, and eight form factors \(\delta_{i}\) to be evaluated from a given sample of \({\rm t\bar{t}}\) events. In principle, all eight form factors and their uncertainties can therefore be determined simultaneously, under the condition that the nine functions are linearly independent. Experimentalists usually maximize numerically a global likelihood \(L\) – or equivalently, minimize the negative Log-likelihood (\(-\log L\)) – with respect to all form factors:\begin{equation} \label{eq:likelihood} \label{eq:likelihood}L={\mu^{N}\over N!}{\rm e}^{-\mu}\times\prod_{k=1}^{N}p(k),\\ \end{equation}
where \(N\) is the total number of \({\rm t\bar{t}}\) events observed in the data sample, \(\mu\) is the number of events expected for the integrated luminosity \({\cal L}\) of the data sample (\(\mu=\sigma_{\rm tot}\times{\cal L}\)), and\begin{equation} p(k)={1\over\sigma_{\rm tot}}{{\rm d}^{2}\sigma\over{\rm d}x{\rm d}\cos\theta}(x_{k},\cos\theta_{k}){\rm,with\ }\sigma_{\rm tot}=\int{{\rm d}^{2}\sigma\over{\rm d}x{\rm d}\cos\theta}{\rm d}x{\rm d}\cos\theta.\\ \end{equation}
The covariance matrix obtained from the numerical minimization of the negative log-likelihood is then inverted to get the uncertainties on the form factors, \(\sigma(\delta_{i})\). It can be shown (Davier 1993) that, in the linear form given in Eq. \ref{eq:optimal}, this method is statistically optimal for the determination of the \(\sigma(\delta_{i})\). The functions \(f_{i}(x,\cos\theta)\) are therefore called "optimal observables". It turns out (Diehl 1994) that the covariance matrix, hence the statistical uncertainties on the form factors, can be obtained analytically in the limit of a large number of events, which is the case considered in this letter. Specifically, if the total event rate is included in the derivation of the likelihood as is the case in Eq. \ref{eq:likelihood}, the elements of the covariance matrix \(V\) are given by (\({\rm d}\Omega\equiv{\rm d}x{\rm d}\cos\theta\))\begin{equation} \label{eq:rate} \label{eq:rate}V_{ij}={\cal L}\int{\rm d}\Omega{f_{i}\times f_{j}\over S^{0}}\ ,\\ \end{equation}
while if the total event rate is not included in the likelihood, namely by removing the first term of the product in Eq. \ref{eq:likelihood}, these elements take the form\begin{equation} \label{eq:norate} \label{eq:norate}V_{ij}={\cal L}\left[\int{\rm d}\Omega{f_{i}\times f_{j}\over S^{0}}-{\int{\rm d}\Omega f_{i}\int{\rm d}\Omega f_{j}\over\int{\rm d}\Omega S_{0}}\right],\\ \end{equation}
and the uncertainty on the form factor \(\delta_{i}\) is simply\begin{equation} \sigma(\delta_{i})=\sqrt{[V^{-1}]_{ii}}\ .\\ \end{equation}
This analytical procedure is used in Ref. (Grzadkowski 2000) to determine the sensitivity to top-quark electroweak couplings in \(500\,{\rm fb}^{-1}\) of \({\rm e^{+}e^{-}}\) collisions at \(\sqrt{s}=500\) GeV, with or without incoming beam polarization. In this article, the authors evaluate the covariance matrix with Eq. \ref{eq:rate}, but they let the total number of events float by adding a fictitious multiplicative form factor \(\delta_{0}\) in front of \(S^{0}\) in Eq. \ref{eq:optimal}, hence increase the rank of the covariance matrix from 8 to 9. It was checked that this work-around is numerically equivalent to using Eq. \ref{eq:norate}, i.e., to not use the total event rate in the likelihood.
A quick survey of Fig. \ref{fig:distributions}, however, shows that \(f_{A}^{\gamma}(x,\cos\theta)\), in the top-left corner, is almost degenerate with the standard model contribution \(S^{0}(x,\cos\theta)\), in the bottom-right corner. Letting the normalization of the standard model contribution float is therefore bound to lead to very large statistical uncertainties on all form factors, as is indeed observed in Ref. (Grzadkowski 2000). For this reason, and as is done in Ref. (Baer 2013), the present study includes the total event rate in the determination of the uncertainties.
As already mentioned, it is possible to determine simultaneously all eight form factors and their uncertainties. In the first configuration of Ref. (Baer 2013), however, only the three coefficients \(F_{1V}^{\gamma}\), \(F_{1V}^{Z}\) and \(F_{1A}^{Z}\) are allowed to vary. The other five form factors are fixed to their standard model values. In this simplified situation, Eq. \ref{eq:optimal} reads\begin{equation} S(x,\theta)=S^{0}(x,\theta)-2i\sin\theta_{W}\delta F_{1V}^{\gamma}f_{A}^{\gamma}-2i\sin\theta_{W}\delta F_{1V}^{Z}f_{A}^{Z}+-2i\sin\theta_{W}\delta F_{1A}^{Z}f_{B}^{Z}\ ,\\ \end{equation}
which leads to the following \(3\times 3\) covariance matrix \(V_{1}=4\sin^{2}\theta_{W}\times{\cal L}\times X\), with\begin{aligned} \label{eq:firstInt} \label{eq:firstInt}X_{11}=\int{\rm d}\Omega{(f_{A}^{\gamma})^{2}\over S^{0}}\ , & {\displaystyle X_{12}=\int{\rm d}\Omega{f_{A}^{\gamma}\times f_{A}^{Z}\over S^{0}}}\ , & X_{13}=\int{\rm d}\Omega{f_{A}^{\gamma}\times f_{B}^{Z}\over S^{0}}\ , \\ & {\displaystyle X_{22}=\int{\rm d}\Omega{(f_{A}^{Z})^{2}\over S^{0}}}\ , & X_{23}=\int{\rm d}\Omega{f_{A}^{Z}\times f_{B}^{Z}\over S^{0}}\ , \\ & & X_{33}=\int{\rm d}\Omega{(f_{B}^{Z})^{2}\over S^{0}}\ .\nonumber \\ \end{aligned}
In the second configuration of Ref. (Baer 2013), only the two coefficients \(F_{2V}^{\gamma}\) and \(F_{2V}^{Z}\) are allowed to vary, which leads to the even simpler expression of Eq. \ref{eq:optimal}:\begin{equation} S(x,\theta)=S^{0}(x,\theta)-2i\sin\theta_{W}\delta F_{2V}^{\gamma}(f_{A}^{\gamma}+f_{C}^{\gamma})-2i\sin\theta_{W}\delta F_{2V}^{Z}(f_{A}^{Z}+f_{C}^{Z})\ ,\\ \end{equation}
and the following \(2\times 2\) covariance matrix \(V_{2}=4\sin^{2}\theta_{W}\times{\cal L}\times Y\), with\begin{aligned} Y_{11}=\int{\rm d}\Omega{(f_{A}^{\gamma}+f_{C}^{\gamma})^{2}\over S^{0}}\ , & {\displaystyle Y_{12}=\int{\rm d}\Omega{(f_{A}^{\gamma}+f_{C}^{\gamma})\times(f_{A}^{Z}+f_{C}^{Z})\over S^{0}}} & \ , \\ & {\displaystyle Y_{22}=\int{\rm d}\Omega{(f_{A}^{Z}+f_{C}^{Z})^{2}\over S^{0}}} & \ .\\ \end{aligned}
The numerical results are presented in the next section for the case of the FCC-ee.
The aforementioned covariance matrices assume a perfect event reconstruction, an event selection efficiency of 100%, a \(4\pi\) detector acceptance, and the absence of background processes. While these hypotheses would not be utterly unrealistic at an \({\rm e^{+}e^{-}}\) collider, a more conservative approach is in order to render the present estimates credible and reliable.
Event reconstruction
The only reconstructed quantities used for the determination of the covariance matrices are the lepton direction and the lepton energy (or momentum). Both quantities can be reconstructed with more than adequate precision, as was the case with the detectors built for the LEP collider. The numerical evaluation of the integrals in Eqs. \ref{eq:firstInt} to \ref{eq:lastInt} are however performed with 50 bins in \(x\) and \(\cos\theta\). This procedure corresponds to conservatively assuming a lepton energy resolution of 1 GeV and a lepton angular resolution of 20 mrad, figures vastly exceeded by LEP detectors.
Event selection and particle identification
The event selection relies on the presence of an energetic isolated lepton and two energetic b-quark jets in the final state, accompanied by either two light-quark jets or an additional lepton. At \(\sqrt{s}=365\) GeV, the lepton momentum can take values between 13.5 and 120 GeV/\(c\), a range in which an identification efficiency of 80% can be conservatively assumed, with a negligible fake rate. Similarly, the b-quark jet energies can take values between 49 and 94 GeV, for which b-tagging algorithms are very efficient and pure, especially with two b jets in the final state. A very conservative b-tagging efficiency of 60% is assumed here. To emulate these efficiencies, all terms of Eq. \ref{eq:optimal}, hence all covariance matrix elements, are multiplied by \(0.6\times 0.8=0.48\).
Detector acceptance
The polar-angle coverage of a typical detector at \({\rm e^{+}e^{-}}\) colliders is usually assumed to be from 10 to 170 degrees. To be conservative, the leptons are assumed here to be detected only for \(|\cos\theta|<0.9\), i.e., in a range from 26 to 154 degrees. This effect is emulated by evaluating the integrals of Eqs. \ref{eq:firstInt} to \ref{eq:lastInt} between \(\cos\theta_{\rm min}=-0.9\) and \(\cos\theta_{\rm max}=0.9\). Given the large value of the minimum lepton energy, the integration bounds over \(x\) are left untouched.
Background processes
The major background identified in Ref. (Amjad 2013) (which Ref. (Baer 2013) is based upon) is the single-top production in association with a W boson and a b quark, through WW\({}^{\ast}\) production, as it leads to the same final state as the top-quark pair production. The corresponding cross section (Boos 2001) increases fast with the centre-of-mass energy, and critically depends on the incoming beam polarization. At \(\sqrt{s}=500\) GeV, the single-top production cross section can reach up to 20% of the top-pair production cross section in the final state with an electron or a positron and in the \({\rm e^{-}_{L}e^{+}_{R}}\) initial polarization configuration. Yet, this background has not been included in the top-quark electroweak coupling study of Ref. (Baer 2013). At \(\sqrt{s}=365\) GeV and with unpolarized beams, however, the single-top cross section in the same final state amounts to about 0.1% of the pair production cross section. It was therefore ignored for the first estimate of precisions given below..
Other experimental uncertainties
A number of other experimental uncertainties are listed in Ref. (Amjad 2013), such as those affecting the measurement of the beam polarization (which enters crucially the cross section measurement); the effects of beamstrahlung; or the ambiguous top-quark reconstruction (which enters crucially the forward-backward asymmetry measurement). These uncertainties apply neither to the FCC-ee, where beamstrahlung effects are negligible and no beam polarization needs to be measured, nor to the present study, as the top-quark direction needs not be reconstructed. The experimental uncertainties affecting the lepton energy and angular distributions can be safely neglected, given the conservative assumptions on the resolutions. The total event rate, needed for the present study, requires a precise luminosity determination, a measurement that can be controlled to a fraction of a per mil, hence neglected here.
Theoretical uncertainties
The dominant systematic uncertainty is of theoretical nature. The total event rate indeed requires an accurate prediction of the total cross section for top pair production. The precision of this prediction is inferred to be at the level of a few per mil in Ref. (Amjad 2013) for \(\sqrt{s}=500\) GeV. A similar precision can be expected at smaller centre-of-mass energy as long as it is reasonably above the production threshold.
Integrated luminosity profile
The target luminosities at the FCC-ee are displayed in Fig. \ref{fig:lumi} (FCC-ee 2014) as a function of the centre-of-mass energy, together with the target luminosities of other \({\rm e^{+}e^{-}}\) colliders under study in the world. At \(\sqrt{s}=350\) GeV, a luminosity of \(7.2\times 10^{34}\,{\rm cm}^{-2}{\rm s}^{-1}\) is expected to be democratically distributed to four interaction regions, leading to an integrated luminosity of \(3.6\,{\rm ab}^{-1}\) over a period of five years. About \(1{\rm ab}^{-1}\) ought to be kept for threshold measurements (leading to a statistical precision on the top mass of about 15 MeV), and the rest can be used to perform measurements above the production threshold.
The maximum centre-of-mass energy of the FCC-ee is yet unknown. It was inferred in Ref. (Bicer 2014) that, if the total RF voltage were increased by a factor 3 with respect to the baseline, a centre-of-mass energy of 500 GeV could be reached, and an integrated luminosity of \(500\,{\rm fb}^{-1}\) could be delivered over a period of three years, as displayed in Fig. \ref{fig:lumi} with the red dashed line. In the framework of the FCC, however, the interest of such an upgrade could not be demonstrated for the physics of the Higgs boson (Bicer 2014). It is interesting to re-evaluate this statement in view of the physics of the top quark.
The centre-of-mass energy was therefore varied from 350 to 500 GeV, and the corresponding integrated luminosity was varied linearly with \(\sqrt{s}\) from 2.6 to 0.5 \({\rm ab}^{-1}\). The expected uncertainties on the top electroweak form factors, \(\sigma(F_{1V}^{\gamma})\), \(\sigma(F_{1V}^{Z})\), \(\sigma(F_{1A}^{Z})\), \(\sigma(F_{2V}^{\gamma})\) and \(\sigma(F_{2V}^{Z})\), were determined as explained in the previous section, with corrections for the lepton energy and angular resolutions, the event selection efficiency, and the detector acceptance, as described above, for each value of the centre-of-mass energy. The variation of these uncertainties with \(\sqrt{s}\) is shown in Fig. \ref{fig:variation}.
The first striking observation is that an increase of the centre-of-mass energy far beyond the top-pair production threshold is not particularly relevant to improve the precision on the top-quark electroweak couplings, as already pointed out in Ref. (Vos 2015). For four out of five couplings, optimum precision is actually reached for \(\sqrt{s}\simeq 365\) GeV, and for the fifth one the precision is within 50% of optimum at this energy. The expected precision then degrades by up to a factor four with 500 \({\rm fb}^{-1}\) at \(\sqrt{s}=500\) GeV. It can also be noted that a very decent precision is alredy reached for \(\sqrt{s}=350\) GeV. The second observation is that the precision reached for these four couplings is at the level of the per mil, and that the tt\(\gamma\) and the ttZ couplings can be determined independently with this precision without the need of initial polarization.
It is only for \(F_{1A}^{Z}\) that a moderate increase of the centre-of-mass energy would improve the precision by a factor of two, from 2.2% at \(\sqrt{s}=365\) GeV to 1% at \(\sqrt{s}=440\) GeV, an energy at which the single-top production would need to be included as a background to the study. There are, however, many other observables to be studied in a \({\rm t\bar{t}}\) event, beyond the energies and angles of the leptons. It was noticed, for example, that a factor of two improvement could be obtained for \(\sigma(F_{1A}^{Z})\) at \(\sqrt{s}=365\) GeV with the energy and angular distributions of the b quarks instead of the leptons. The use of the b jets will be the subject of further studies with more detailed event reconstruction algorithms.
Expected statistical accuracies
A picture is often better than many words. This study is best summarized by Fig. \ref{fig:baer}, taken from Ref. (Baer 2013), and modified by the addition of the FCC-ee projections at \(\sqrt{s}=365\) GeV. As anticipated, the lack of incoming beam polarization at the FCC-ee is more than compensated by the use of the final state polarization and by a significantly larger integrated luminosity, even with the sole use of the lepton energy and angular distributions, and modest detector performance.
Theory uncertainties
As mentioned in the previous section, the dominant systematic error on these numbers is the theoretical uncertainty on the predicted event rate. It is difficult to say today what this uncertainty will be at the time of the FCC-ee startup. To evaluate its effects, the likelihood in Eq. \ref{eq:likelihood} was enhanced with the corresponding Gaussian nuisance factor, and the form factor uncertainties were determined for any value of the assumed cross-section theoretical error. The result is displayed in Fig. \ref{fig:crosserr} for a theoretical error between 0.01% and 100%. The uncertainties on the first four form factors stay below a few per mil if the total cross section can be predicted with a precision of 2% or better. The uncertainty on \(F_{1A}^{Z}\) remains essentially unaffected as long as the theoretical precision is below 10%.
The above results are obtained under the assumption that the gauge-invariance-violating form factor (\(F_{1A}^{\gamma}\)) and the CP-violating form factors (\(F_{2A}^{\gamma,Z}\)) vanish, to allow for a one-to-one and straightforward comparison with Ref. (Baer 2013). From an experimental point-of-view, however, there is no a-priori reason why these form factors could not be extracted from the measurements of the lepton angular and energy distributions. The present study is therefore extended, with \(2.4\,{\rm ab}^{-1}\) at \(\sqrt{s}=365\) GeV, to the following two configurations by relaxing the constraints on \(F_{1A}^{\gamma}\), \(F_{2A}^{\gamma}\) and \(F_{2A}^{Z}\): either the four form factors \(F_{1V,A}^{X}\) are varied simultaneously while the four \(F_{2V,A}^{X}\) are fixed to their standard model values, or vice-versa.
In the first configuration, it turns out that relaxing the constraint on \(F^{\gamma}_{1A}\) does not sizeably change the precision on the other three \(F^{X}_{1V,A}\) form factors, as shown in Table \ref{tab:f1}. A per-cent accuracy is also obtained on \(F^{\gamma}_{1A}\).
|Precision on
|Only three \(F_{1V,A}^{X}\)
|All four \(F_{1V,A}^{X}\)
|\(\sqrt{s}=500\) GeV
The situation with the \(F_{2V,A}^{X}\) form factors in the second configuration is even clearer. Indeed, the distributions related to \(F_{2A}^{\gamma}\) and \(F_{2A}^{Z}\) form factors are CP odd, while those related to \(F_{2V}^{\gamma}\) and \(F_{2V}^{Z}\) are CP even. With vanishing correlation coefficients, the two pairs of form factors can therefore be determined independently from each other. The precisions on \(F_{2V}^{\gamma}\) and \(F_{2V}^{Z}\), expected with \(2.4\,{\rm fb}^{-1}\) at \(\sqrt{s}=365\) GeV at the FCC-ee, are thus unchanged with respect to Fig. \ref{fig:baer} when the constraint on \(F_{2A}^{\gamma}\) and \(F_{2A}^{Z}\) is relaxed, and amount to \(8.1\,10^{-4}\) and \(2.3\,10^{-3}\) respectively. With \(500\,{\rm fb}^{-1}\) at \(\sqrt{s}=500\) GeV, the precisions would be \(2.5\,10^{-3}\) and \(8.3\,10^{-3}\) respectively, as also shown in Fig. \ref{fig:variation}.
The accuracy of the CP-violating form factors with the sole lepton angle and energy distributions is moderately constraining (\(1.4\,10^{-1}\) on \(F_{2A}^{\gamma}\) and \(8.2\,10^{-1}\) on \(F_{2A}^{Z}\)) because of the important correlation between the two distributions \(f_{D}^{\gamma}\) and \(f_{D}^{Z}\), well visible in Fig. \ref{fig:distributions}. A relevant precision of \(1.7\,10^{-2}\), however, is reached on the linear combination \(F_{2A}^{\gamma}+0.17\times F_{2A}^{Z}\) with \(2.4\,{\rm ab}^{-1}\) at \(\sqrt{s}=365\) GeV, reduced to \(0.9\,10^{-2}\) with \(500\,{\rm fb}^{-1}\) at \(\sqrt{s}=500\) GeV. A reduction of the correlation between these two form factors requires the analysis of additional observables, beyond the scope of the present study.
Similarly, when all eight parameters are considered simultaneously, the lepton angle and energy distributions are no longer sufficient to avoid large correlations between form factors. The same observation was made in Refs. (Baer 2013) and (Amjad 2013) with the four observables chosen for the analysis at 500 GeV and with incoming beam polarizations. A generator-level exercise with more observables in the fully leptonic final state has been recently attempted in Ref. (Khiem 2015), released after the present study. In this exercise, an optimal-observable analysis of the matrix element squared is carried out with thirteen different observables (the top quark direction, the \(\ell^{+}\) and \(\ell^{-}\) angles and energies, the \({\rm b}\) and \({\rm\bar{b}}\) angles and energies, and the invariant masses of the top quarks and W bosons), with unambiguous identification and reconstruction under the assumption of a perfect detector. With these additional variables, the few degeneracies between form factors are indeed removed, but the conclusion is identical to that of this paper: the incoming beam polarizations are not essential in the process.
A similar analysis could be undertaken for semi-leptonic final states at \(\sqrt{s}=365\) GeV, in order to determine all eight form factors simultaneously with the ultimate accuracy, but the assumption of a perfect detector cannot be expected to give fully reliable results when the jets and the missing energy from the top decays are to be included, as acknowledged in Ref. (Khiem 2015). Such an analysis will be carried out when a complete simulation and reconstruction in a realistic detector becomes available for the FCC-ee study.
In this paper, it has been shown that the measurements of the angular and energy distributions in semi-leptonic \({\rm t\bar{t}}\) events (\({\rm e^{+}e^{-}\to t\bar{t}}\to\ell\nu{\rm q\bar{q}b\bar{b}}\)) at future \({\rm e^{+}e^{-}}\) colliders have a strong potential for a precise determination of the top-quark electroweak couplings. It has been demonstrated, even with the sole use of these two distributions and modest detector performance, that the lack of incoming beam polarization at the FCC-ee is compensated by the polarization of the final state top quarks, and by a significantly larger integrated luminosity.
Although these projections were obtained with somewhat conservative hypotheses on the detector performance, it will also be important to reproduce the results with a full simulation in a Monte Carlo study, as to further investigate that the detector requirements are indeed quite modest. While the inferred precisions are already competitive with other projects on the market, such a Monte Carlo study will also allow a reliable reconstruction of all observables in the event, beyond the lepton energies and directions, and is expected to bring sizeable improvements, especially on the few remaining correlations between form factors.
The present study is only a first look at this topic for the FCC-ee. It enhances the fantastic potential of a 100-km circular \({\rm e^{+}e^{-}}\) collider already envisioned in Ref. (Bicer 2014) with the full profiling of the top quark from a precise measurement of its electroweak couplings. In view of these new estimates, it becomes of particular interest to check their added value to the sensitivity to new physics, especially when combined with the unequalled precision of the measurements of the Z, the W, and the Higgs boson properties, as well as of the top-quark mass, at the FCC-ee.
I would like to give credit where credit is due: this work would not have been undertaken without the scientific vision of Alain Blondel, and his firm belief that the final state polarization would suffice to disentangle the tt\(\gamma\) and ttZ couplings.
A great deal of inspiration also came from the passionate debates about the merits of the FCC with my former thesis advisor and scientific mentor, François Le Diberder, and my former lab director, François Richard. I am grateful to both.
I would like to sincerely thank Zenro Hioki for digging out his code written 15 years ago, running it for me, and allowing me, with his patient explanations, to understand why my uncertainties were so much smaller than those obtained in Ref. (Grzadkowski 2000).
Finally, I am indebted to Patrizia Azzi, Alain Blondel, Christophe Grojean, and Roberto Tenchini, for their careful reading of the manuscript and for the wisdom of their comments and suggestions.
FCC. Official web site. (2015). Link
M. Bicer, et. al.. First look at the physics case of TLEP. Journal of High Energy Physics 1, 164 Springer Science \(\mathplus\) Business Media, 2014. Link
H. Baer, et. al.. International Linear Collider Technical Design Report - Volume 2: Physics. Office of Scientific and Technical Information (OSTI), 2013. Link
S. Jadach, Z. Was. The \(\tau\) polarization measurement in Z PHYSICS AT LEP-1, VOL. 1: STANDARD PHYSICS, P235. (1989). Link
S. Schael, et. al.. Precision electroweak measurements on the Z resonance. Physics Reports 427, 257–454 Elsevier BV, 2006. Link
B. Grzadkowski, Z. Hioki. Optimal-observable analysis of the angular and energy distributions for top-quark decay products at polarized linear colliders, Erratum in preparation. Nuclear Physics B 585, 3–27 Elsevier BV, 2000. Link
M. Davier, L. Duflot, F. Le Diberder, A. Rougé. The optimal method for the measurement of tau polarization. Physics Letters B 306, 411–417 Elsevier BV, 1993. Link
M. Diehl, O. Nachtmann. Optimal observables for the measurement of three gauge boson couplings in \(e^+e^- \to W^+W^-\) . Zeitschrift für Physik C Particles and Fields 62, 397–411 Springer Science \(\mathplus\) Business Media, 1994. Link
M. S. Amjad, et. al.. A precise determination of top quark electro-weak couplings at the ILC operating at \(\sqrt{s} = 500\)GeV. ArXiv e-prints (2013). Link
E. Boos, M. Dubinin, A. Pukhov, M. Sachwitz, H.J. Schreiber. Single top production in \(e^+e^-\), \(e^-e^-\), \(\gamma e\) and \(\gamma\gamma\) collisions. The European Physical Journal C 21, 81–91 Springer Science \(\mathplus\) Business Media, 2001. Link
FCC-ee. Official web site. (2014). Link
M. Vos. Precision top quark physics at a future linear \({\rm e^+e^-}\) collider, \(9^{\rm th}\) FCC-ee physics workshop, Pisa. (2015). Link
P. H. Khiem, E. Kou, Y. Kurihara, F. Le Diberder. Probing New Physics using top quark polarization in the \(e^+e^- \to t \bar t\) process at future Linear Colliders. ArXiv e-prints (2015). Link


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Report of the Tests of Metals and Other Materials for Industrial Purposes Made with the United States Testing Machine at Watertown Arsenal, Massachusetts, During the Year Ended ...
U.S. Government Printing Office, 1903 - Building materials
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25 sqnare 25 square inch annealed Applied loads Bethlehem Steel cast steel cent of cement Character of broken CM CM CM cnbic foot Compres Compressive strength Contraction of area crack Deflections measured Diameter at fractnre Dimensions Elastic limit Elongation of inch Elongation per inch end supports endnrance test ganged length gaoged Gauged inch of original inch sections Initial load length over thread limit per sqoare loads per sqoare Marks metal Micrometer minntes neat permanent set point of roptore ponnds per sqnare poonds per sqoare Posnds pounds Remarks Report of 1895 ri ri ri rings per inch rnptnre rocker block Sectional area set in air Set on ganged silky sion snstaining load Soccessive specimen sqnare inch streaked hoop stress per sqoare Tensile strength test see Report testing machine tion tional area Total track block Ultimate strength Water nsed Weight per cnbic
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Page 120 - The unstreaked hoop fractured along an element not previously characterized by any unusual local appearance of the metal. COMPARISONS OF THE RESULTS AND CONCLUSIONS REACHED. 1. The elastic limits of the hoops possessed the values indicated by the specimen tests. 2. Each hoop successfully endured 500 repetitions of a load closely approaching but within the elastic limit of the metal. 3. The presence of streaks exerted a marked influence on the ultimate strength and elongation of the metal. 4. The...
Page 3 - Very respectfully, ELIHU ROOT, Secretary of War. The SPEAKER OF THE HOUSE OF REPRESENTATIVES. OFFICE OF THE CHIEF OF ORDNANCE US ARMY, Washington, January 24, 1003.
Page 120 - Under the corrected figures the strength of the streaked hoop is 77 per cent that of the unstreaked. (5) Compared with their respective tensile specimens the following values appear: Streaked hoop, deficiency in strength, 11,349 pounds per square inch; unstreaked hoop, excess in strength, 15,889 pounds per square inch; the streaked hoop has...
Page 175 - .564. Sectional area, .25 square inch. Gauged length, 3". General summary. Tensile strength per square inch of original section pounds Klastic limit per square inch of original section do.
Page 3 - I have the honor to submit, for transmission to Congress as required by law, a copy of the report of the commanding officer of...
Page 92 - Elongation per inch under strain at elastic limit do. . . Reduction in diameter at point of rupture do. . . Reduction in area after rupture, per cent of original section 47.2 Position of rupture 1...
Page 258 - .41 ; area, .1320 square inch. Contraction of area, 47.2 per cent. Fractured ".70 from the neck. Appearance, fibrous, seamy. 718 Applied load�.
Page 120 - ... inches long by 0.15 inch deep in an oblique direction at its maximum. This and other streaks in the hoop gradually increased in prominence as the interior pressures advanced beyond the elastic limit of the metal. The unstreaked hoop fractured along an element not previously characterized by any unusual local appearance of the metal.
Page 314 - .14, ".19, ".43*. Diameter at fracture, ".35; area, .0962 square inch. Contraction of area, 61.5 per cent. Fractured I'M from the neck. Appearance, fine silky. Applied loads per square inch. In gauged length. Elongation. Set. Remarks. Pounds. 1,000...
Page 120 - The excess in strength and elongation of the unstreaked hoop over the specimen test is attributed to the reenforcing influence of the flanges of the hoop. 8. The deficiency in strength and elongation of the streaked hoop over the specimen test is attributed to the presence of streaks in the metal.


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Thanks to amazing testers, we spotted a lot of bugs in the upcoming 0.17 version, and all of them should be fixed now: https://code.eliotberriot.com/funkwhale/funkwhale/issues/542
The focus now is on the documentation, and if everything goes well, we can expect a release next monday.
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Shortage of GPs 'at critical level'
THE number of GPs has fallen to critical levels across London and patients are increasingly unable to register with a doctor near where they live, a report says today.
The London Assembly's Health Committee said that the shortage of doctors is so acute that in some areas 80 per cent of GPs' surgeries are closed to new patients.
There are more than 330 vacant GP posts in London, a shortfall of 7 per cent compared with a national average of 3 per cent. In a new report, the committee recommends that refugee doctors and doctors from Commonwealth countries who are unaccredited in Britain should be recruited.
The Government's NHS Plan recommends that an extra 255 GPs should be recruited for London. The Royal College of…