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Lepton flavour violation in the MSSM

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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 \( \left| {\delta_{LL}^{13}\delta_{RR}^{{13}}} \right| \lesssim 0.{1} \) 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.

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Authors and Affiliations

  1. Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology, Universität Karlsruhe, Engesserstraße 7, 76128, Karlsruhe, Germany

    Jennifer Girrbach, Susanne Mertens, Ulrich Nierste & Sören Wiesenfeldt

  2. Institut für Experimentelle Kernphysik, Karlsruhe Institute of Technology, Universität Karlsruhe, Engesserstraße 7, 76128, Karlsruhe, Germany

    Susanne Mertens

  3. Helmholtz Association, Anna-Louisa-Karsch-Straße 2, 10178, Berlin, Germany

    Sören Wiesenfeldt

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  1. Jennifer Girrbach
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Correspondence to Ulrich Nierste.

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ArXiv ePrint: 0910.2663

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Girrbach, J., Mertens, S., Nierste, U. et al. Lepton flavour violation in the MSSM. J. High Energ. Phys. 2010, 26 (2010). https://doi.org/10.1007/JHEP05(2010)026

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