Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD

TL;DR

This paper calculates third-order QCD corrections to rapidity distributions in Drell-Yan and Higgs production, enhancing precision for collider predictions using advanced theoretical techniques.

Contribution

It provides the first complete N$^3$LO threshold corrections to these distributions, utilizing recent three-loop results and resummation methods.

Findings

Significant numerical impact of N$^3$LO corrections at the LHC.

Demonstrates the effectiveness of resummation and factorization techniques.

Improves theoretical predictions for collider experiments.

Abstract

We present the threshold N$^3$LO perturbative QCD corrections to the rapidity distributions of dileptons in the Drell-Yan process and Higgs boson in gluon fusion. Sudakov resummation of QCD amplitudes, renormalization group invariance, and the mass factorization theorem provide useful guidelines to obtain them in an elegant manner. We use various state of the art three loop results that have been recently available to obtain these distributions. For the Higgs boson, we demonstrate numerically the importance of these corrections at the LHC.