Semi-inclusive jet cross sections within SCET

TL;DR

This paper discusses the definition and application of semi-inclusive jet functions within SCET to improve the accuracy of jet cross section predictions, including resummation techniques and comparison with LHC data.

Contribution

It introduces the formalism of semi-inclusive jet functions in SCET and demonstrates their use in resumming large logarithms for jet cross sections.

Findings

Successful resummation of large logarithms at NLO+NLL$_R$ accuracy.

Numerical results show good agreement with LHC data.

The approach extends the theoretical understanding of jet fragmentation functions.

Abstract

We review the definition of semi-inclusive jet functions within Soft Collinear Effective Theory (SCET) and their application to inclusive jet cross sections. As an example, we consider both the inclusive production of jets and the jet fragmentation function in proton-proton collisions. The semi-inclusive jet functions satisfy renormalization group (RG) equations which take the form of standard timelike DGLAP evolution equations, analogous to collinear fragmentation functions. By solving these RG equations, the resummation of potentially large single logarithms $(\alpha_s \ln R)^n$ can be achieved. We present numerical results at NLO+NLL$_R$ accuracy and compare to existing data from the LHC.