General one-loop contributions to the decay processes $$H\rightarrow f\bar{f}\gamma $$ H → f f ¯ γ and its applications are presented in this paper. We consider all possible contributions of the additional heavy vector gauge bosons, heavy fermions, and charged (also neutral) scalar particles propagating in Feynman loop diagrams. Therefore, analytic results are valid in a wide class of models beyond the Standard Model. Analytic formulas for the form factors are expressed in terms of Passarino-Veltman functions in the standard notations of . Hence, the decay rates can be evaluated numerically by using this package. The computations are then applied to the cases of the Standard Model, $$U(1)_{B-L}$$ U ( 1 ) B - L extension of the Standard Model as well as Two Higgs Doublet Model. Phenomenological results for all the above models are studied. We observe that the effects of new physics are sizable contributions and these can be probed at future colliders.

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General one-loop contributions to the decay amplitudes H → νl ν̄l γ are presented, considering all possible contributions of additional heavy vector gauge bosons, fermions, and charged (and also neutral) scalar particles appearing in the loop diagrams. Moreover, the results can be applied directly when extra neutrinos (apart from three ones in standard model) are taken into account in final states. Analytic results are expressed in terms of Passarino-Veltman scalar functions which can be evaluated numerically using LoopTools. In the standard model framework, these analytical results are generated and cross-checked with previous computations. We find that our results are well consistent with these computations. Within standard model limit, phenomenological results for the decay channels are also studied using the present input parameters at the Large Hadron Collider. Lastly, the calculation is also applied to Two Higgs Doublet Model framework as another example.

In this paper, new analytic formulas for one-loop contributing to Higgs decay channel $H \rightarrow Z\gamma$ are presented in terms of hypergeometric functions. The calculations are performed by following the technique for tensor one-loop reduction developed in [A. I. Davydychev, Phys. Lett. B 263 (1991) 107]. For the first time, one-loop form factors for the decay process are shown which are valid at arbitrary space–time dimension $d$.

One-loop W boson contributions to the decay H → Zγ in the general Rξ gauge are presented. The analytical results are expressed in terms of well-known Passarino-Veltman functions which their numerical evaluations can be generated using LoopTools. In the limit d → 4, we have shown that these analytical results are independent of the unphysical parameter ξ and consistent with previous results. The gauge parameter independence is also checked numerically for consistence. Our results are also well stable with different values of ξ = 0,1,100, and ξ →∞.