Threshold resummation in rapidity for colorless particle production at LHC

TL;DR

This paper develops a formalism for all-order resummation of large threshold logarithms in rapidity distributions of colorless particles at the LHC, improving prediction stability and convergence.

Contribution

It introduces a novel resummation method in two-dimensional Mellin space for rapidity distributions at NNLO+NNLL accuracy.

Findings

Resummed distributions are stable against scale variations.

Perturbative convergence is significantly improved.

Applicable to Higgs and Drell-Yan production at the LHC.

Abstract

We present a formalism to resum large threshold logarithms to all orders in perturbative QCD for the rapidity distribution of any colorless particle at the hadron colliders. Using the derived resummed coefficients in two dimensional Mellin space, we present the rapidity distributions for the Higgs as well as for the Drell-Yan production to NNLO+NNLL accuracy at the LHC. The resummed distributions give stable prediction against the variation of unphysical renormalisation and factorisation scales in both the cases. Perturbative convergence is also improved with the inclusion of the resummed result.