Supersymmetric Higgs Pair Production at Hadron Colliders

TL;DR

This paper analyzes neutral Higgs pair production via gluon fusion in the MSSM, providing analytical formulas and showing that squark loops can significantly enhance production rates, potentially observable at colliders.

Contribution

It offers new analytical expressions for Higgs pair production amplitudes including squark loops and mixing effects, highlighting conditions for large cross section enhancements.

Findings

Squark loops can boost cross sections by over two orders of magnitude.

Large $ an eta$ enhances the likelihood of observing Higgs pairs in collider experiments.

Potential observability of Higgs pairs in the $4b$ final state at the Tevatron.

Abstract

We study the pair production of neutral Higgs bosons through gluon fusion at hadron colliders in the framework of the Minimal Supersymmetric Standard Model. We present analytical expressions for the relevant amplitudes, including both quark and squark loop contributions, and allowing for mixing between the superpartners of left- and right-handed quarks. Squark loop contributions can increase the cross section for the production of two CP-even Higgs bosons by more than two orders of magnitude, if the relevant trilinear soft breaking parameter is large and the mass of the lighter squark eigenstate is not too far above its current lower bound. In the region of large $\tan \beta$, neutral Higgs boson pair production might even be observable in the $4 b$ final state during the next run of the Tevatron collider.