Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC

TL;DR

This paper develops a precise theoretical framework for predicting the transverse momentum distribution of Higgs bosons produced in hadron collisions, combining advanced resummation techniques with fixed-order calculations to improve accuracy at the Tevatron and LHC.

Contribution

It introduces a comprehensive resummation method at NNLL accuracy combined with NNLO fixed-order results for Higgs production, extending previous models and providing detailed numerical predictions.

Findings

Enhanced predictions for Higgs q_T distribution at Tevatron and LHC.

Quantified theoretical uncertainties in the resummed calculations.

Validated the approach by recovering known total cross sections at NNLO.

Abstract

We consider the transverse-momentum (q_T) distribution of Standard Model Higgs bosons produced by gluon fusion in hadron collisions. At small q_T (q_T<<m_H, m_H being the mass of the Higgs boson), we resum the logarithmically-enhanced contributions due to multiple soft-gluon emission to all order in QCD perturbation theory. At intermediate and large values of q_T (q_T <~m_H), we consistently combine resummation with the known fixed-order results. We use the most advanced perturbative information that is available at present: next-to-next-to-leading logarithmic resummation combined with the next-to-leading fixed-order calculation. We extend previous results including exactly all the perturbative terms up to order alphas^4 in our computation and, after integration over q_T, we recover the known next-to-next-to-leading order result for the total cross section. We present numerical results at the Tevatron and the LHC, together with an estimate of the corresponding uncertainties. Our calculation is implemented in an updated version of the numerical code HqT.