Sensitivity to the Higgs Sector of SUSY-Seesaw Models in the Lepton Flavour Violating tau-->mu f0(980) decay
M.J.Herrero, J.Portoles, A.M.Rodriguez-Sanchez

TL;DR
This paper investigates the potential for Higgs-mediated lepton flavor violation in tau decays within SUSY-seesaw models, providing predictions that constrain model parameters based on current experimental bounds.
Contribution
It introduces a detailed calculation of the tau --> mu f0(980) decay rate via Higgs mediation in SUSY-seesaw models, linking Higgs sector parameters to observable LFV decay rates.
Findings
Predicted decay rates are sensitive to tanbeta and m_{H^0} parameters.
Current experimental bounds impose restrictions on the Higgs sector parameters.
Higgs-mediated channels could be significant in LFV tau decays.
Abstract
In this work we study the Lepton Flavour Violating semileptonic tau --> mu f0(980) decay within the context of SUSY-Seesaw Models, where the MSSM spectrum is extended by three right handed neutrinos and their SUSY partners, and where the seesaw mechanism is used to generate the neutrino masses. We estimate its decay rate when it proceeds via the Higgs mediated channel tau --> mu H* --> mu f0(980), where H refers to the CP-even MSSM Higgs bosons h^0 and H^0, and the Lepton Flavour Violating tau mu H vertex is radiatively generated via SUSY loops. In order to describe the f0(980) meson we follow the guidelines from chiral constraints. As an implication of our computation, we explore the sensitivity to the Higgs sector in this decay and compare it with other LFV tau decay channels. The confrontation of our predictions for BR(tau --> mu f0(980)) with its very competitive present…
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