Hou W.-S., Kumar G.Kumar G.Hou W.-S.WEI-SHU HOU2021-07-282021-07-28202024700010https://www.scopus.com/inward/record.uri?eid=2-s2.0-85085871998&doi=10.1103%2fPhysRevD.101.095017&partnerID=40&md5=c06751e862a807d8ad439fb3482a6083https://scholars.lib.ntu.edu.tw/handle/123456789/574937We explore the interplay between the h(125)→τμ search at the LHC and τ→μγ at the upcoming Belle II experiment, in the context of the general two Higgs doublet model with extra Yukawa couplings such as ρτμ. The search for h→τμ constrains ρτμcosγ, where cosγ is the h-H mixing angle of h with the exotic CP-even scalar H. For τ→μγ, we define the "BSM benchmark" by setting the extra top Yukawa coupling as ρtt=1(?λt) in two-loop diagrams, and we set cosγ=0 to decouple h. We show that this leading effect, which is due to H and CP-odd scalars A, can be readily probed by Belle II, even for the conservative value of ρτμ=0.7λτ. We define the subleading "h benchmark" by setting ρtt=0 in two-loop diagrams, and we take the conservative maximal value of cosγ=0.2. We show that it falls beyond the reach of Belle II but can interfere with the BSM-benchmark effect, which, in principle, probes the phase of ρtt. We further show that the one-loop H, A effect, proportional to ρτμρττ in amplitude, is beyond the sensitivity of Belle II to probe, even for ρττ as large as 3λτ. With the working assumption that ρ32f,ρ33f=O(λ3f) for all charged fermions f, we find a good discovery potential for both τ lepton flavor violation searches in the coming decade. ? 2020 authors. Published by the American Physical Society.journal article10.1103/PhysRevD.101.0950172-s2.0-85085871998WOS:000532654200008