be clustered are considered as proto-jets. The transverse momentum p$_{T}$ , rapidity y , and azimuthal angle φ of a proto-jet are calculated using Equation 3. For each proto-jet i and the pair ( i, j, i = j ), d$_{i}$ and d$_{ij}$ are defined as d$_{i}$ = p 2 T,i d$_{ij}$ = min( p 2 p $_{T,i}$, p 2 p $_{T,j}$) ( y$_{i}$ − y$_{j}$ ) 2 + ( φ$_{i}$ − φ$_{j}$ ) 2 D 2 (4) where D is the parameter which controls the size of the jet. For the k$_{T}$ algorithm, the parameter p = 1. The algorithm determines the minimum d$_{min}$ of the d$_{i}$ and all the d$_{ij}$ . If d$_{min}$ = d$_{i}$ , the proto-jet is not mergable and is promoted to a jet. Otherwise, the proto-jets i, j are merged into a single proto-jet with the 4-momentum ( E$_{ij}$, ⃗ p$_{ij}$ ) = ( E$_{i}$ + E$_{j}$, ⃗ p$_{i}$ + ⃗ p$_{j}$ ). The process is repeated until no proto-jets are left. The k$_{T}$ algorithm has been extensively used at e $^{+}$e − and ep colliders. At hadron colliders, the environment is more challenging. The energy from multi-parton interactions and beam remnants and pile-up can contribute to the jets and must be taken into account. The large particle multiplicity observed in hadron-hadron collisions requires substantial CPU resources to process an event. Thus the use of the k$_{T}$ algorithm has been limited at hadron colliders. The DØ collaboration measured the inclusive jet cross section in Run I [34]. In the Tevatron Run II, the k$_{T}$ algorithm has only been used by the CDF Collaboration to measure the inclusive jet cross section (described in Section V B). Recently, two more recombination algorithms using p = 0 (Cambridge-Aachen) [35] and p = − 1 (anti- k$_{T}$ ) [36] in Equation 4 have been proposed. The Cambridge-Aachen algorithm combines particles based only on their relative distance. The anti- k$_{T}$ algorithm combines the highest p$_{T}$ objects in the events first. This leads to circular jets, which have well-defined area like the cone jets. Thus far, these algorithms have not been used at the Tevatron. IV. JET ENERGY SCALE DETERMINATION At the Tevatron, jets are generally measured using a calorimeter, which is sensitive to both charged and neutral particles. Both CDF and DØ utilize sampling calorimeters, which measure only a small fraction of the energy of the particles. This observed energy is multi- plied by a calibration constant so that it is equal to the sum of the energies of the incident particles. The calorimeter response is different for hadrons, photons, electron and muons. For hadrons, the response depends on the momentum and the flavor of the particles, whereas 12