Lepton flavour violating semileptonic tau decays in constrained MSSM-seesaw scenarios

Understand

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.