Threshold resummation of the rapidity distribution for Higgs production at NNLO+NNLL

TL;DR

This paper develops a formalism for resumming threshold-enhanced logarithms in the rapidity distribution of Higgs bosons at NNLO+NNLL, improving the accuracy of perturbative QCD predictions for collider experiments.

Contribution

It introduces a novel all-orders resummation method for rapidity distributions in QCD, with compact expressions in Mellin space and application to Higgs production at the LHC.

Findings

Resummation enhances the reliability of Higgs rapidity predictions.

Numerical results show significant impact of threshold logs at NNLO+NNLL.

The formalism can be applied to other colorless particle productions.

Abstract

We present a formalism that resums threshold-enhanced logarithms to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. We achieve this by exploiting the factorization properties and K+G equations satisfied by the soft and virtual parts of the cross section. We compute for the first time compact and most general expressions in two-dimensional Mellin space for the resummed coefficients. Using various state-of-the-art multiloop and multileg results, we demonstrate the numerical impact of our resummed results up to next-to-next-to-leading order for the rapidity distribution of the Higgs boson at the LHC. We find that inclusion of these threshold logs through resummation improves the reliability of perturbative predictions.