Flavor Violating Higgs signals in the Texturized Two-Higgs Doublet Model (2HDM-Tx)

Abstract: Flavor violating Higgs signals, such as the top FCNC decay $t\to ch^0$ and the LFV Higgs decay $h^0\to \tau\mu$, have been studied at the LHC. These signals can arise within the general Two-Higgs doublet model (THDM), where each Higgs doublet couples to all fermions types through Yukawa matrices $Y^f_1$ and $Y^f_2$. The Yukawa matrices can be assumed to have the same form or they could have different structures. In this paper we study the case when both $Y^f_1$ and $Y^f_2$ have completely different forms, but in such a way that they complement to produce a specific hermitian mass matrix. We find that for specific four-zero textures, the Flavor Violating Higgs couplings depend only on the free parameters $\tan \beta$, $\gamma_f$ and the fermion masses. We use the current bounds on the low energy processes, to derive constraints on the Heavy Higgs boson mass, $\tan \beta$ and $\gamma_f$. Then, we use these constraints to evaluate the LFV Higgs decays, which reach Branching ratios that could be tested at the LHC.