Two Higgs doublets to explain the excesses $pp\rightarrow γγ(750\ {\rm GeV})$ and $h \to τ^\pm μ^\mp$

Abstract

The two Higgs doublet model emerges as a minimal scenario in which to address, at the same time, the $γγ$ excess at 750 GeV and the lepton flavour violating decay into $τ^\pm μ^\mp $ of the 125 GeV Higgs boson. The price to pay is additional matter to enhance the $γγ$ 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