Higgs Boson Decay to Lepton Pair and Photon and Possible Non-Hermiticity of the Yukawa Interaction
The production of lepton pairs in the Higgs boson decay ℎ → ℓ+ℓ−y is studied. The emphasis is put on the structure of the Higgs boson interaction with fermions. This interaction is chosen as a mixture of the scalar and pseudo-scalar couplings, and, in addition, it is supposed to be non-Hermitian. We study predictions of this model for the observables in the ℎ → ℓ+ℓ−y decay for e+e−, м+м−, and т+т− pairs. The differential decay width and lepton forward-backward asymmetry are calculated as functions of the dilepton invariant mass for several sets of ℎf¯f coupling constants. The influence of the non-Hermitian ℎf¯f interaction on the forward-backward asymmetry is studied, and the large influence of a possible non-Hermiticity of the Higgs interaction with the top quarks on the forward-backward asymmetry for e+e− and м+м− pairs is stressed.
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