One-loop contributions to the decay $H\rightarrow \nu_l\bar{\nu}_l\gamma$ in standard model revisited

Abstract

One-loop contributions to the decay $H\rightarrow \nu_l\bar{\nu}_l\gamma$ with $l=e, \mu, \tau$ within standard model framework are revisited in this paper. We derive two representations for the form factors in this calculation. As a result, the computations are not only checked numerically by verifying the ultraviolet finiteness of the results but also confirming the ward identity of the amplitude. We find that the results are good stability with varying ultraviolet cutoff parameters as well as satisfy the ward identity. In phenomenological results, all the physical results are examined with the present input parameters. Especially, we study the partial decay widths for the decay channels in both cases of the detected photon and invisible photon. Differential decay widths are also generated as a function of energy of final photon.