Lepton flavour violating Higgs and tau to mu gamma

Details Lepton flavour violating Higgs and tau to mu gamma Lepton flavour violating Higgs and tau to mu gamma

2010-01-04

arxiv.org/abs/1001.0434v3

Phys.Rev.D81:095016,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 5 figures, version accepted for publication

Scientific paper

10.1103/PhysRevD.81.095016

We update phenomenological constraints on a Two Higgs Doublet Model with lepton flavour non-conserving Yukawa couplings. We review that $\tan \beta$ is ambiguous in such "Type III" models, and define it from the $\tau$ Yukawa coupling. The neutral scalars $\phi$ could be searched for at hadron colliders in $ \phi \to \tau \bar{\mu}$, and are constrained by the rare decay $\tau \to \mu \gamma$. The Feynman diagrams for the collider process, with Higgs production via gluon fusion, are similar to the two-loop "Barr-Zee" diagrams which contribute to $\tau \to \mu \gamma$. Some "tuning" is required to obtain a collider cross-section of order the Standard Model expectation for $\sigma (gg \to h_{SM} \to \tau^+ \tau^-)$, while agreeing with the current bound from $\tau \to \mu \gamma$.

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