Flavor Violating Higgs Couplings in Minimal Flavor Violation

Abstract

Motivated by the rencent LHC data on the lepton-flavor violating (LFV) decays $h\to {\ell }_1{\ell }_2$ and $B_{s,d}\to {\ell }_1{\ell }_2$, we study the Higgs-mediated flavor-changing neutral current (FCNC) interactions in the effective field theory (EFT) approach without and with the minimal flavor violation (MFV) hypothesis, and concentrate on the later. After considering the $B$ and $K$ physics data, the various LFV processes, and the LHC Higgs data, severe constraints on the Higgs FCNC couplings are derived, which are dominated by the LHC Higgs data, the $B_s-{\bar{B}}_s$ mixing, and the $\hat{I}¼\to e{\hat{I}}^3$ decay. In the general case and the MFV framework, allowed ranges of various observables are obtained, such as $\mathcal{B}(B_s\to {\ell }_1{\ell }_2)$, $\mathcal{B}(h\to {\ell }_1{\ell }_2)$, $\mathcal{B}(h\to q_1{q}_2)$, and the branching ratio of $\hat{I}¼\to e$ conversion in Al. Future prospects of searching for the Higgs FCNC interactions at the low-energy experiments and the LHC are discussed.

26 pages, 5 figures, minor errors corrected, figures slightly changed, comments and references added