Abstract
Radiative corrections to the decay hrightarrow Zgamma are evaluated in the one-loop approximation. The unitary gauge is used. The analytic result is expressed in terms of the Passarino-Veltman functions. The calculations are applicable for the Standard Model as well for a wide class of its gauge extensions. In particular, the decay width of a charged Higgs boson H^{pm }rightarrow W^{pm }gamma can be derived. The consistence of our formulas and several specific earlier results is shown.
Highlights
At the one loop level, the amplitude of the decay h → Z γ contains contributions from new gauge boson loops of the beyond the Standard Model (SM) (BSM) models constructed from larger electroweak gauge groups such as the left-right (LR), 3-3-1, and 3-4-1 models [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39]
We have introduced the general analytic formulas expressing one-loop contributions from scalars, fermions, and gauge bosons to the amplitude of the decay h → Z γ
We proved that our results can be used to calculate the amplitude of the charged Higgs decays H ± → W ±γ which exist in many BSM models
Summary
At the one loop level, the amplitude of the decay h → Z γ contains contributions from new gauge boson loops of the BSM models constructed from larger electroweak gauge groups such as the left-right (LR), 3-3-1, and 3-4-1 models [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39]. They create a very large number of Feynman diagrams Their couplings are model dependent, it is hard to construct general formulas determining vector loop contributions using the t’ Hooft-Feynman gauge. This problem has been mentioned recently [21] in a discussion of the Georgi-Machacek model, where only new Higgs multiplets are added to the SM. Our results can be translated into the general analytic form used to calculate the amplitudes of the charged Higgs decay H ± → W ±γ which is an interesting channel predicted in many BSM models. Two other Appendices contain detailed calculations of the one-loop fermion contributions to the amplitude h → Z γ and the relevant couplings in the LR models discussed in our work
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