Papers › The General One-loop Structure for the LFV Higgs Decays Hᵣ →lₐ l_b in multi-Higgs...
The General One-loop Structure for the LFV Higgs Decays Hᵣ →lₐ l_b in multi-Higgs Models with Neutrino Masses
M. Zeleny-Mora, J. Lorenzo Díaz-Cruz, O. Félix-Beltrán
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In this paper we present general formulae for the calculation of LFV Higgs decays Hᵣ →lₐ l_b at one-loop, with Hᵣ being part of the Higgs spectrum of a generic multi-scalar extension of the Standard Model (SM) with neutrino masses. We develop a method based on a classification of the particles appearing in the loop diagrams (scalars, fermions and vectors), and by identifying the corresponding couplings, we are able to present compact expressions for the form factors involved in the amplitudes. Our results are applicable to models where Flavor Changing Neutral Currents (FCNC) are forbidden at tree-level, but change of flavor is induced by charged currents. Then, as applications of our formalism, we evaluate the branching ratio for the mode h →lₐ l_b, for two specific models: the See-Saw Type I-νSM and the Scotogenic model (here h = H₁ corresponds to the SM-like Higgs boson); we find that the largest branching ratio for SM-like Higgs h boson within the νSM is of the order ℬℛ(h→μτ)≃10⁻¹², while for the Scotogenic model we find ℬℛ(h→lₐ l_b)≲10⁻⁹, which satisfy the latest experimental LHC results.
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