Lepton flavor changing Higgs decays in the littlest Higgs model with T-parity
2017
We calculate loop induced lepton flavor violating Higgs decays in the Littlest
Higgs model with T-parity. We find that a finite amplitude is obtained only when all
contributions from the T-odd lepton sector are included. This is in contrast to lepton fla-
vor violating processes mediated by gauge bosons where the partners of the right-handed
mirror leptons can be decoupled from the spectrum. These partners are necessary to can-
cel the divergence in the Higgs mass introduced by the mirror leptons but are otherwise
unnecessary and assumed to be decoupled in previous phenomenological studies. Further-
more, as we emphasize, including the partner leptons in the spectrum also introduces a
new source of lepton flavor violation via their couplings to the physical pseudo-Goldstone
electroweak triplet scalar. Although this extra source also affects lepton flavor changing
gauge transitions, it decouples from these amplitudes in the limit of heavy mass for the
partner leptons. We find that the corresponding Higgs branching ratio into taus and muons
can be as large as ~ 0.2 × 10 -6 for T-odd masses of the order a few TeV, a demanding
challenge even for the high luminosity LHC.
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