Higgs mediated CLFV processes $\mu N(eN)\to \tau X$ via gluon operators

Abstract

We revisit charged lepton flavor violating (CLFV) scattering processes ${\ell }_{i}N\to \tau X({\ell }_i\ni e,\mu )$ mediated by Higgs. We point out that a new subprocess ${\ell }_{i}g\to \tau g$ via the effective interactions of Higgs and gluon gives the dominant contribution to ${\ell }_{i}N\to \tau X$ for an incident beam energy of $E_{\ell }\lesssim 1\text{TeV}$ in fixed target experiments. Furthermore, in the light of quark number conservation, we consider quark pair-production processes ${\ell }_{i}g\to \tau q\bar{q}$ ($q$ denotes quarks) instead of ${\ell }_{i}q\to \tau q$. This corrects the threshold energy of each subprocess contributing to $\sigma ({\ell }_{i}N\to \tau X)$. Reevaluation of $\sigma ({\ell }_{i}N\to \tau X)$ including all of relevant subprocesses shows that the search for ${\ell }_{i}N\to \tau X$ could serve a complementary opportunity with other relevant processes to shed light on the Higgs CLFV.

Comments: 5 pages, 4 figures