Article

# Lepton flavour violation in the MSSM

Universität Karlsruhe Institut für Experimentelle Kernphysik, Karlsruhe Institute of Technology Engesserstraße 7 76128 Karlsruhe Germany; Helmholtz Association Anna-Louisa-Karsch-Straße 2 10178 Berlin Germany
Journal of High Energy Physics (impact factor: 5.83). 04/2012; 2010(5):1-48. DOI:10.1007/JHEP05(2010)026 pp.1-48
Source: arXiv

ABSTRACT We derive new constraints on the quantities δ

XY

ij
, X, Y = L,R, which parametrise the flavour-off-diagonal terms of the charged slepton mass matrix in the MSSM. Considering mass and anomalous
magnetic moment of the electron we obtain the bound | dLL13dRR13 | <~0.1 \left| {\delta_{LL}^{13}\delta_{RR}^{{13}}} \right| \lesssim 0.{1} for tan β = 50, which involves the poorly constrained element δ

RR

13. We improve the predictions for the decays τ → μγ, τ → eγ and μ → eγ by including two-loop corrections which are enhanced if tan β is large. The finite renormalisation of the PMNS matrix from soft SUSY-breaking terms is derived and applied to the charged-Higgs-lepton
vertex. We find that the experimental bound on BR(τ → eγ) severely limits the size of the MSSM loop correction to the PMNS element U

e3, which is important for the proper interpretation of a future U

e3 measurement. Subsequently we confront our new values for δ

LL

ij
with a GUT analysis. Further, we include the effects of dimension-5 Yukawa terms, which are needed to fix the Yukawa unification
of the first two generations. If universal supersymmetry breaking occurs above the GUT scale, we find the flavour structure
of the dimension-5 Yukawa couplings tightly constrained by μ → eγ.

KeywordsSupersymmetry Phenomenology

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19 Sep 2012

### Keywords

charged slepton mass matrix

decays τ → μγ

dimension-5 Yukawa couplings

dimension-5 Yukawa terms

finite renormalisation

flavour structure

flavour-off-diagonal terms

GUT analysis

GUT scale

KeywordsSupersymmetry Phenomenology

MSSM loop correction

new values

PMNS element U

proper interpretation

soft SUSY-breaking terms

two-loop corrections

universal supersymmetry

Yukawa unification

μ → eγ

τ → eγ