Two Higgs doublets to explain the excesses $pp\to \gamma \gamma (750\mathrm{GeV})$ and $h\to {\tau }^{\pm }{\mu }^{\mp }$

Abstract

The two Higgs doublet model emerges as a minimal scenario in which to address, at the same time, the $\gamma \gamma$ excess at 750 GeV and the lepton flavour violating decay into ${\tau }^{\pm }{\mu }^{\mp }$ of the 125 GeV Higgs boson. The price to pay is additional matter to enhance the $\gamma \gamma$ rate, and a peculiar pattern for the lepton Yukawa couplings. We add TeV scale vector-like fermions and find parameter space consistent with both excesses, as well as with Higgs and electroweak precision observables.

15 pages, 1 figure; v2: discussion of tau-->mu gamma added, leading to an additional constraint. v3: references added, figure 1 recovered and figure 2 added

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