Soft-gluon resummation for Higgs differential distributions at the Large Hadron Collider

TL;DR

This paper combines fixed-order NLO calculations with NNLL soft-gluon resummation to accurately predict the Higgs boson's transverse-momentum and rapidity distributions at the LHC, improving theoretical precision.

Contribution

It provides the first comprehensive doubly-differential predictions for Higgs production at the LHC using advanced resummation techniques combined with fixed-order calculations.

Findings

Enhanced accuracy in Higgs distribution predictions.

Agreement with existing data within theoretical uncertainties.

Framework applicable to other processes at colliders.

Abstract

We study the transverse-momentum (q_T) and rapidity (y) distributions of the Higgs boson in perturbative QCD, including the most advanced theoretical information presently available: fixed-order perturbation theory at Next-to-Leading Order (NLO) in the large-q_T region (q_T ~ M_H, being M_H the Higgs mass), and soft-gluon resummation at the Next-to-Next-to-Leading Logarithmic accuracy (NNLL) in the small-q_T region (q_T << M_H). We present numerical results for the doubly-differential (q_T and y) cross section for the production of a Standard Model Higgs boson at the Large Hadron Collider (LHC).