Higgs boson production at hadron colliders: hard-collinear coefficients at the NNLO

TL;DR

This paper calculates the NNLO hard-collinear coefficient function for Higgs boson production via gluon fusion, improving precision in theoretical predictions for small transverse momentum regions.

Contribution

It provides the first NNLO calculation of the hard-collinear coefficient function crucial for resummation and subtraction methods in Higgs production.

Findings

Enables more accurate NNLO predictions for Higgs transverse momentum distributions.

Facilitates improved resummation at next-to-next-to-leading logarithmic accuracy.

Supports fully-exclusive NNLO calculations in Higgs boson production.

Abstract

We consider the production of the Standard Model Higgs boson through the gluon fusion mechanism in hadron collisions. We present the next-to-next-to-leading order (NNLO) QCD result of the hard-collinear coefficient function for the all-order resummation of logarithmically-enhanced contributions at small transverse momentum. The coefficient function controls NNLO contributions in resummed calculations at full next-to-next-to-leading logarithmic accuracy. The same coefficient function is used in applications of the subtraction method to perform fully-exclusive perturbative calculations up to NNLO.