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.

5 pages, 4 figures

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• Searching for new physics at $\mu \to e$ facilities with ${\mu }^{+}$ and ${\pi }^{+}$ decays at rest
• Studies of Lepton Flavor Violation at the LHC
• Lepton Flavor Violation from diphoton effective interactions
• Snowmass 2021 White Paper: Charged lepton flavor violation in the tau sector
• Leptoquark-induced CLFV decays with a light SM-singlet scalar
• Probing chirality structure in lepton-flavour-violating Higgs decay $h\to \tau \mu$ at the LHC
• Charged lepton flavor violation associated with heavy quark production in deep inelastic lepton-nucleon scattering via scalar exchange