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 — preprints:2009:ttp09-38 [2016/03/15 20:38] (current) Line 1: Line 1: + ====== TTP09-38 Lepton flavour violation in the MSSM ====== + + + We derive new constraints on the quantities delta_{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 delta^{13}_{LL}*delta^{13}_{RR} < + 0.1, which involves the poorly constrained element delta^{13}_{RR}. We + ​improve the predictions for the decays tau -> mu gamma, tau -> e gamma + and mu -> e gamma by including two-loop corrections which are enhanced + if tan beta 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(tau -> e gamma) 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 delta^{ij}_{LL} with a GUT analysis. As a novel + ​feature we consider 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 mu + -> e gamma. + ​ + |**Jennifer Girrbach, Susanne Mertens, Ulrich Nierste, S&​ouml;​oren Wiesenfeldt** ​ | + | {{preprints:​2009:​ttp09-38.pdf|PDF}} {{preprints:​2009:​ttp09-38.ps|PostScript}} ​  | + | |