Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-03-13
JHEP 0806:079,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
51 pages, 18 figures. Version published in JHEP06(2008)079
Scientific paper
10.1088/1126-6708/2008/06/079
In this work we study the Lepton Flavour Violating semileptonic $\tau$ decays: 1) $\tau \to \mu PP$ with $PP= \pi^+\pi^-, \pi^0\pi^0, K^+K^-, K^0 {\bar K}^0$; 2) $\tau \to \mu P$ with $P=\pi^0, \eta, \eta'$ and 3) $\tau \to \mu V$ with $V = \rho^0, \phi$. We work within the context of two constrained MSSM scenarios: the CMSSM and NUHM. A full one-(SUSY)loop computation is presented and the importance of the various contributions, the $\gamma$-, $Z$-, and Higgs bosons mediated ones are analysed. The hadronization of quark bilinears is performed within the chiral framework. Some discrepancies in the predicted rates for BR($\tau \to \mu \eta$), BR($\tau \to \mu \eta'$) and BR($\tau \to \mu K^+K^-$) are found with respect to previous estimates, which will be commented here. These three channels will be shown to be the most competitive ones to test simultaneously the Lepton Flavour Violation and the Higgs sector. We further present here a set of approximate formulas for all the semileptonic channels which we believe can be useful for further comparison with present and future data.
Arganda E.
Herrero Maria J.
Portoles Jorge
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