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Journal of High Energy Physics

, 2016:125 | Cite as

The semi-inclusive jet function in SCET and small radius resummation for inclusive jet production

  • Zhong-Bo KangEmail author
  • Felix Ringer
  • Ivan Vitev
Open Access
Regular Article - Theoretical Physics

Abstract

We introduce a new kind of jet function: the semi-inclusive jet function J i (z, ω J , μ), which describes how a parton i is transformed into a jet with a jet radius R and energy fraction z = ω J , with ω J and ω being the large light-cone momentum component of the jet and the corresponding parton i that initiates the jet, respectively. Within the framework of Soft Collinear Effective Theory (SCET) we calculate both J q (z, ω J , μ) and J g (z, ω J , μ) to the next-to-leading order (NLO) for cone and anti-kT algorithms. We demonstrate that the renormalization group (RG) equations for J i (z, ω J , μ) follow exactly the usual DGLAP evolution, which can be used to perform the ln R resummation for inclusive jet cross sections with a small jet radius R. We clarify the difference between our RG equations for J i (z, ω J , μ) and those for the so-called unmeasured jet functions J i (ω J , μ), widely used in SCET for exclusive jet production. Finally, we present applications of the new semi-inclusive jet functions to inclusive jet production in e + e and pp collisions. We demonstrate that single inclusive jet production in these collisions shares the same short-distance hard functions as single inclusive hadron production, with only the fragmentation functions D i h (zμ) replaced by J i (z, ω J , μ). This can facilitate more efficient higher-order analytical computations of jet cross sections. We further match our ln R resummation at both LL R and NLL R to fixed NLO results and present the phenomenological implications for single inclusive jet production at the LHC.

Keywords

Perturbative QCD Resummation 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Theoretical DivisionLos Alamos National LaboratoryLos AlamosU.S.A.

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