Leptoquark induced rare decay amplitudes $h\to {\tau }^{\mp }{\mu }^{\pm }$ and $\tau \to \mu \gamma$

Abstract

Rare decay modes of the newly discovered standard-model-like Higgs boson $h$ may test the flavor changing couplings in the leptoquark sector through the process $h\to {\tau }^{\mp }{\mu }^{\pm }$. Motived by the recently reported excess in LHC data from the CMS detector, we found that a predicted branching fraction Br($h\to {\tau }^{\mp }{\mu }^{\pm }$) at the level of 1\% is possible even though the coupling parameters are subjected to the stringent constraint from the null observation of $\tau \to \mu \gamma$, where the destructive cancellation among amplitudes is achievable by fine tuning.

14 pages, 6 figures, We corrected the wave function renormalization of the external lines in the process h to mu tau

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