Forward Inclusive Jet Productions in pA Collisions

TL;DR

This paper calculates the next-to-leading-order inclusive jet production cross-section in proton-nucleus collisions at forward rapidity within the color glass condensate framework, incorporating jet algorithms, divergence subtraction, and resummation techniques to improve prediction accuracy.

Contribution

It extends previous forward hadron production calculations to inclusive jet production, demonstrating finiteness of NLO hard coefficients and implementing resummation of large logarithms for more reliable predictions.

Findings

NLO jet cross-section calculations are finite after divergence subtraction.

Resummation of large logarithms improves the convergence of the perturbative series.

The framework aligns with recent LHC measurements on forward jet production.

Abstract

Motivated by recent experimental LHC measurements on the forward inclusive jet productions and based on our previous calculations on forward hadron productions, we calculate single inclusive jet cross-section in $pA$ collisions at forward rapidity within the color glass condensate framework up to the next-to-leading-order. Moreover, with the application of jet algorithm and proper subtraction of the rapidity and collinear divergences, we further demonstrate that the resulting next-to-leading-order hard coefficients are finite. In addition, in order to deal with the large logarithms that can potentially spoil the convergence of the perturbative expansion and improve the reliability of the numerical predictions, we introduce the collinear jet function and the threshold jet function and resum these large logarithms hidden in the hard coefficients.