The phenomenology of the di-photon excess and $h\to \tau \mu$ within 2HDM

Abstract

The diphoton excess around $m_S=750$ GeV observed at ATLAS and CMS can be interpreted as coming from $S=H$ and $A$, the neutral components of a second Higgs doublet. If so, then the consistency of the light Higgs decays with the Standard Model predictions provides upper bounds on the rates of $S\to VV,hZ,hh$ decays. On the other hand, if $h\to \tau \mu$ decay is established, then a lower bound on the rate of $S\to \tau \mu$ decay arises. Requiring that ${\Gamma }_S\lesssim 45$ GeV gives both an upper and a lower bound on the rotation angle from the Higgs basis $({\Phi }_v,{\Phi }_A)$ to the mass basis $({\Phi }_h,{\Phi }_H)$. The charged scalar, with $m_{H^{\pm }}\simeq 750$ GeV, is produced in association with a top quark, and can decay to ${\mu }^{\pm }\nu$, ${\tau }^{\pm }\nu$, $tb$ and $W^{\pm }h$

10 pages, 6 figures

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