Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

TL;DR

This paper calculates precise supersymmetric QCD corrections to Higgs boson production via gluon fusion at NNLO, addressing complex multi-scale three-loop integrals and exploring phenomenological implications consistent with LHC findings.

Contribution

It provides the first detailed NNLO supersymmetric QCD corrections to Higgs production, including explicit counterterm results for evanescent couplings.

Findings

The supersymmetric K factor closely matches the Standard Model in many scenarios.

A light top squark can cause over 5% deviation in NNLO cross section predictions.

Results are compatible with the observed Higgs mass of about 125 GeV.

Abstract

We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the $K$ factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.