Higgs mediated CLFV processes μN(eN)→τX via gluon operators

We revisit charged lepton flavor violating (CLFV) scattering processes ℓiN→τX(ℓi∋e,μ) mediated by Higgs. We point out that a new subprocess ℓig→τg via the effective interactions of Higgs and gluon gives the dominant contribution to ℓiN→τX for an incident beam energy of Eℓ≲1TeV in fixed target experiments. Furthermore, in the light of quark number conservation, we consider quark pair-production processes ℓig→τqq¯ (q denotes quarks) instead of ℓiq→τq. This corrects the threshold energy of each subprocess contributing to σ(ℓiN→τX). Reevaluation of σ(ℓiN→τX) including all of relevant subprocesses shows that the search for ℓiN→τX could serve a complementary opportunity with other relevant processes to shed light on the Higgs CLFV.