Abstract
We present a framework that describes the energy distribution of subjets of radius r within a jet of radius R. We consider both an inclusive sample of subjets as well as subjets centered around a predetermined axis, from which the jet shape can be obtained. For r ≪ R we factorize the physics at angular scales r and R to resum the logarithms of r/R. For central subjets, we consider both the standard jet axis and the winner-take-all axis, which involve double and single logarithms of r/R, respectively. All relevant one-loop matching coefficients are given, and an inconsistency in some previous results for cone jets is resolved. Our results for the standard jet shape differ from previous calculations at next-to-leading logarithmic order, because we account for the recoil of the standard jet axis due to soft radiation. Numerical results are presented for an inclusive subjet sample for pp → jet + X at next-to-leading order plus leading logarithmic order.
Highlights
Where zr is fraction of the jet energy contained in the subjet of radius r, and η and pT are the rapidity and transverse momentum of the jet with radius R
Our results for the standard jet shape differ from previous calculations at next-to-leading logarithmic order, because we account for the recoil of the standard jet axis due to soft radiation
Our work on the inclusive subjet distribution and the distribution of subjets centered about a specified axis provides a first step in the direction of taggers that are less sensitive to soft radiation
Summary
We review the calculation of the semi-inclusive jet functions (siJFs), which enter in the cross section for single inclusive jet production, pp → jet + X. For single inclusive jet production in proton-proton collisions at NLO, pp → jet + X, there are either one or two final-state partons inside the observed jet, whose possible. Where β1 and β2 are the angles of the final state partons with respect to the initiating parton These regions of phase space are not complementary, and there are configurations with R < β < 2R that are double counted. The requirement that the partons are in separate jets in eq (2.2), leads to the following expression for the case where the quark is inside the observed cone jet in figure 2(B), dΦ2 σ2c,q θ(x < 1/2)θ(β1 > R) + θ(x > 1/2)θ(β2 > R) δ(x − z). [36] are consistent with earlier analytical results for single inclusive jet production for cone algorithms in refs. We refer the interested reader to the earlier publications listed above
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