1. Non-minimal flavour violation in A$_{4} \times$ SU(5) SUSY GUTs with smuon assisted dark matter
- Author
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Samuel J. Rowley, Stephen F. King, Björn Herrmann, Jordan Bernigaud, Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH), and Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Quark ,Nuclear and High Energy Physics ,Particle physics ,Physics beyond the Standard Model ,High Energy Physics::Lattice ,Flavour ,Dark matter ,FOS: Physical sciences ,Parameter space ,01 natural sciences ,muon: radiative decay ,High Energy Physics - Phenomenology (hep-ph) ,0103 physical sciences ,smuon: mass ,grand unified theory: SU(5) ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,010306 general physics ,Physics ,010308 nuclear & particles physics ,new physics ,High Energy Physics::Phenomenology ,lepton: flavor: violation ,Supersymmetry ,supersymmetry: parameter space ,High Energy Physics - Phenomenology ,Supersymmetry Phenomenology ,symmetry: A(4) ,+electron+photon%22">muon --> electron photon ,supersymmetry: dark matter ,[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,Neutralino ,lcsh:QC770-798 ,High Energy Physics::Experiment ,muon: rare decay ,Lepton - Abstract
We study CP-conserving non-minimal flavour violation in $A_4 \times SU(5)$ 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 $\mu \rightarrow e \gamma$. 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., Comment: 31 pages, 13 figures. Matches published version
- Published
- 2019
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