{'fraction_non_alphanumeric': 0.04897579143389199, 'fraction_numerical': 0.01936685288640596, 'mean_word_length': 4.414314516129032, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Discovering SUSY in the First LHC Run

We analyze the potential of the first LHC physics run, assuming 1/fb at sqrt[s] = 7 TeV, to discover Supersymmetry (SUSY). The results are based on SUSY parameter fits following a frequentist approach. They include the experimental constraints from electroweak precision data, (g-2)_mu, B-physics and cosmological data. The two SUSY models under consideration are the constrained MSSM (CMSSM) with universal soft supersymmetry-breaking mass parameters, and a model with common non-universal Higgs mass parameters in the superpotential (NUHM1). We find that large parts of the regions preferred at the 68% C.L. are accessible to early LHC running.


Introduction
One of the main tasks of the LHC is to search for physics beyond the Standard Model (SM), where Supersymmetry (SUSY) is one of the favored ideas. The first physics run of the LHC is currently ongoing at an √ s = 7 TeV, aiming for 1 fb −1 until the end of 2011. Here we review the results from frequentist analyses [1,2] of the parameter spaces of the constrained minimal supersymmetric extension of the Standard Model (CMSSM) -in which the soft SUSY-breaking scalar and gaugino masses are each constrained to universal values m 0 and m 1/2 , respectively -and the NUHM1 -in which the soft SUSY-breaking contributions to the Higgs masses are allowed to have a different but common value. Both models have a common trilinear coupling A 0 at the GUT scale and tan β (the ratio of the two vacuum expectation values) as a low-energy input. A detailed list of references on the subject of frequentist (and bayesian) analyses can be found in Ref. [1].

Details of the fits
The results obtained in Refs. [1,2] include various experimental results: B-physics observables (such as rates for BR(b → sγ) and BR(B u → τ ν τ ), and the upper limit on BR(B s → µ + µ − )) as well as K-physics observables, precision electroweak data (such as the W boson mass and the anomalous magnetic moment of the muon, (g − 2) µ ), the bound on the lightest MSSM Higgs boson mass, M h , and the cold dark matter (CDM) density (as inferred from astrophysical and cosmological data) assuming that this is dominated by the relic density of the lightest neutralino, Ω χ h 2 .
The fit is performed by using a global χ 2 likelihood function, which combines all theoretical predictions with experimental constraints: Here N is the number of observables studied, C i represents an experimentally measured value (constraint), and each P i defines a prediction for the corresponding constraint that depends on the supersymmetric parameters. The experimental uncertainty, σ(C i ), of each measurement is taken to be both statistically and systematically independent of the corresponding theoretical uncertainty, σ(P i ), in its prediction. We denote by χ 2 (M h ) and χ 2 (BR(B s → µµ)) the χ 2 contributions from two measurements for which only one-sided bounds are available so far. Similarly, we include the lower limits from the direct searches for SUSY particles at LEP [3] as one-sided limits, denoted by "χ 2 (SUSY search limits)" in Eq. (1). The experimental constraints used in our analyses are listed in Table 1 of Ref. [1]. Our statistical treatment of the CMSSM and NUHM1 makes use of a large sample of points (about 2.5 × 10 7 ) in the SUSY parameter spaces obtained with the Markov Chain Monte Carlo (MCMC) technique. Our analysis is entirely frequentist, and avoids any ambiguity associated with the choices of Bayesian priors. The main computer code for our evaluations is the MasterCode [1,2,4-6], which includes the following theoretical codes. For the RGE running of the soft SUSY-breaking parameters, it uses SoftSUSY [7], which is combined consistently with the codes used for the various low-energy observables: FeynHiggs [8][9][10][11] is used for the evaluation of the Higgs masses and a SUSY µ (see also [12,13]), for the other electroweak precision data we have included a code based on [14,15], SuFla [16,17] and SuperIso [18,19] are used for flavor-related observables, and for dark-matterrelated observables MicrOMEGAs [20] and DarkSUSY [21] are included. In the combination of the various codes, MasterCode makes extensive use of the SUSY Les Houches Accord [22,23].
In Fig. 1 we display the best-fit value and the 68% and 95% likelihood contours for the CMSSM (upper plot) and the NUHM1 (lower plot) in the (m 0 , m 1/2 ) plane, obtained as described above from a fit taking into account all experimental constraints. We also show exclusion contours for the hadronic search mode (jets plus missing energy) at CMS. The green (light gray) solid line shows the 95% C.L. exclusion contour for CMS for 1 fb The dark shaded area at low m 0 and high m 1/2 is excluded due to a scalar tau LSP, the light shaded areas at low m 1/2 do not exhibit electroweak symmetry breaking. Shown in both plots are the best-fit point, indicated by a filled circle, and the 68 (95)% C.L. contours from our fit as dark gray/blue (light gray/red) overlays, scanned over all tan β and A 0 values. The 95% C.L. exclusion curves (hadronic search channel) at CMS with 1 (0.1) fb −1 at 7 TeV center-of-mass energy is shown as green/light gray (black) solid curve.
first signals of SUSY. On the other hand, no indication of SUSY-like signatures would already severly restrict these (kind of) GUT based models.