The Higgs Mass in the MSSM at two-loop order beyond minimal flavour violation

TL;DR

This paper demonstrates that significant flavour violation in the up-squark sector can cause notable shifts in the Higgs mass at two-loop order, challenging previous assumptions of negligible impact.

Contribution

It reveals that large flavour-violating soft terms can significantly alter the Higgs mass at two-loop level, expanding understanding of flavour effects in supersymmetric models.

Findings

Large up-squark sector flavour violation can shift Higgs mass by several GeV.

Such effects are compatible with existing experimental constraints.

The impact varies across different regions of parameter space.

Abstract

Soft supersymmetry-breaking terms provide a wealth of new potential sources of flavour violation, which are tightly constrained by precision experiments. This has posed a challenge to construct flavour models which both explain the structure of the Standard Model Yukawa couplings and also predict soft-breaking patterns that are compatible with these constraints. While such models have been studied in great detail, the impact of flavour violating soft terms on the Higgs mass at the two-loop level has been assumed to be small or negligible. In this letter, we show that large flavour violation in the up-squark sector can give a positive or negative mass shift to the SM-like Higgs of several GeV, without being in conflict with other observations. We investigate in which regions of the parameter space these effects can be expected.