Effects of supersymmetric threshold corrections on the Yukawa matrix unification

TL;DR

This paper analyzes how supersymmetric threshold corrections influence Yukawa matrix unification in the MSSM, considering LHC data, flavor observables, and the stability of the Higgs vacuum.

Contribution

It provides a comprehensive update on Yukawa unification, incorporating LHC results and flavor physics, highlighting the role of large trilinear terms and vacuum metastability.

Findings

Large trilinear A-terms can achieve Yukawa unification.

Higgs vacuum metastability is a significant consideration.

LHC measurements constrain supersymmetric parameter space.

Abstract

We present an updated analysis of the Yukawa matrix unification within the renormalizable Minimal Supersymmetric Standard Model. It is assumed that the soft terms are non-universal but flavour-diagonal in the super-CKM basis at the GUT scale. Trilinear Higgs-squark-squark A-terms can generate large threshold corrections to the Yukawa matrix $\mathbf{Y}^d$ at the superpartner decoupling scale. In effect, the SU(5) boundary condition $\mathbf{Y}^d=\mathbf{Y}^{e\,T}$ at the GUT scale can be satisfied. However, such large trilinear terms make the usual Higgs vacuum metastable (though long-lived). We broaden previous studies by including results from the first LHC phase, notably the measurement of the Higgs particle mass, as well as a quantitative investigation of flavour observables.