Phenomenology of SUSY with General Flavour Violation

TL;DR

This paper explores how relaxing the Minimal Flavour Violation assumption in SUSY models affects Higgs mass predictions and phenomenology, revealing significant parameter space constraints from experimental data.

Contribution

It provides analytical formulas for Higgs mass shifts due to general flavour violation and performs a global analysis of the resulting phenomenological constraints.

Findings

Higgs mass can increase by up to 14 GeV with GFV effects.

Parameter space is constrained by electroweak and B-physics observables.

Large off-diagonal entries in squark matrices are favored by data.

Abstract

We discuss the consequences of relaxing the Minimal Flavour Violation assumption in the up-squark sector on the phenomenology of SUSY models. We study the impact of the off-diagonal entries in the soft SUSY-breaking matrices on the mass of the lightest Higgs scalar and we derive the approximate analytical formulae that quantify this effect. We show that $m_h$ can be enhanced by up to 13-14 GeV in the case of the phenomenological MSSM with the inverted hierarchy of masses in the squark sector and zero stop mixing, and up to 4-5 GeV in GUT-constrained scenarios where the magnitude of the enhancement is mitigated by renormalization group effects. We also perform a global analysis of an inverted hierarchy GFV scenario, taking into account the experimental bounds from the measurements of relic density, EW precision observables and B-physics. We show that the allowed parameter space of the model is strongly constrained by $m_W$, $\sin^2\theta_{eff}$ and $BR(B_s \to \mu^+\mu^-)$, requiring $m_0(3)$<1500 GeV and $m_{1/2}$<1800 GeV, as well as a large non-zero (2,3) entry in the up-squark trilinear matrix.