Probing the chirality structure in the lepton-flavor-violating Higgs decay h ? ?? at the LHC

A phenomenological study for determining the chirality structure in lepton-flavor-violating Higgs decays h -> tau mu at the LHC is presented. We estimate the effects of the tau polarization in the analysis and the importance of determining the relative visible momentum ratio x, and show the analysis with a collinear mass mcol1 by assuming one missing particle is appropriate. We find that the sensitivity would be generically affected up to +/- 4-6% in terms of the BR(h -> tau mu) upper bound, and show the altered bounds on the (Iy mu tau I; Iy tau mu I) plane. We further study the benchmark scenarios, and demonstrate the sensitivity study for the chirality structure using the relative visible momentum ratio. We find that the two fully polarized cases, the tau R and tau L scenarios consistent with the recently reported excess, are distinguishable at 2 sigma level for 1000 fb-1. We also show that a further improved study potentially provides a similar sensitivity already for 139 fb-1.