Non-minimal flavour violation in A4 \xd7 SU(5) SUSY GUTs with smuon assisted dark matter

Jordan Bernigaud,Samuel J Rowley,Stephen F King,Björn Herrmann

doi:10.1007/jhep03(2019)067

Abstract

We study CP-conserving non-minimal flavour violation in A4 × SU(5) inspired Supersymmetric Grand Unified Theories (GUTs), focussing on the regions of parameter space where dark matter is successfully accommodated due to a light right-handed smuon a few GeV heavier than the lightest neutralino. In this region of parameter space we find that some of the flavour-violating parameters are constrained by the requirement of the dark matter relic density, due to the delicate interplay between the smuon and neutralino masses. By scanning over GUT scale flavour violating parameters, constrained by low-energy quark and lepton flavour violating observables, we find a striking difference in the results in which individual parameters are varied to those where multiple parameters are varied simultaneously, where the latter relaxes the constraints on flavour violating parameters due to cancellations and/or correlations. Since charged lepton-flavour violation provides the strongest constraints within a GUT framework, due to relations between quark and lepton flavour violation, we examine in detail a prominent correlation between some of the flavour violating parameters at the GUT scale consistent with the stringent lepton flavour violating process μ → eγ. We also examine the relation between GUT scale and low scale flavour violating parameters, for both quarks and leptons, and show how the usual expectations may be violated due to the correlations when multiple parameters are varied simultaneously.

Highlights

Leads to a modification of the assumed decay patterns, for example in squark searches
We study CP-conserving non-minimal flavour violation in A4 × SU(5) inspired Supersymmetric Grand Unified Theories (GUTs), focussing on the regions of parameter space where dark matter is successfully accommodated due to a light right-handed smuon a few GeV heavier than the lightest neutralino
By scanning over GUT scale flavour violating parameters, constrained by lowenergy quark and lepton flavour violating observables, we find a striking difference in the results in which individual parameters are varied to those where multiple parameters are varied simultaneously, where the latter relaxes the constraints on flavour violating parameters due to cancellations and/or correlations

Summary

Introduction

Leads to a modification of the assumed decay patterns, for example in squark searches. The obtained mass limits may be considerably weakened [1,2,3] It appears that a considerable region of the parameter space of the TeV-scale Minimal Supersymmetric Standard Model (MSSM) can accomodate such Non-Minimal Flavour Violation (NMFV) in the squark sector with respect to current experimental and theoretical constraints [4,5,6]. The link between NMFV terms at the TeV scale and the GUT scale is interesting from both the phenomenological and model-building point of view They may be numerically rather different, flavour violating interactions in the squark and slepton sectors are linked if NMFV is implemented in a unification framework at the high-scale. The LHC will be able to fully test this scenario with the upgraded luminosity via muon-dominated tri- and dilepton signatures resulting from higgsino dominated χ±1 χ02 and χ+1 χ−1 production, as well as direct smuon production searches in the above region of parameter space

Objectives

Results

Conclusion