Towards Higgs boson production in gluon fusion to NNLO in the MSSM

TL;DR

This paper calculates the Higgs boson production rate via gluon fusion at NNLO in the MSSM, providing analytical results for the effective theory matching coefficient and analyzing its impact on the cross section.

Contribution

It presents the first analytical computation of the matching coefficient at NNLO in the MSSM and studies its effect on the Higgs production cross section in the degenerate mass limit.

Findings

For MSSM particle masses below 500 GeV, the cross section can be significantly enhanced.

K-factors remain relatively unchanged despite the enhancement.

Analytical expressions for the matching coefficient are derived.

Abstract

We consider the Higgs boson production in the gluon-fusion channel to next-to-next-to-leading order within the Minimal Supersymmetric Standard Model. In particular, we present analytical results for the matching coefficient of the effective theory and study its influence on the total production cross section in the limit where the masses of all MSSM particles coincide. For supersymmetric masses below 500 GeV it is possible to find parameters leading to a significant enhancement of the Standard Model cross section, the $K$-factors, however, change only marginally.