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

TL;DR

This paper revisits the one-loop calculations of the decay process $H\rightarrow \nu_l\bar{\nu}_l\gamma$ in the Standard Model, providing new representations for form factors, verifying their consistency, and analyzing decay widths and photon energy distributions.

Contribution

The paper introduces two new representations for the form factors in the decay process and confirms their numerical stability and gauge invariance within the Standard Model.

Findings

Results are stable under ultraviolet cutoff variations.

Decay widths are computed for different photon detection scenarios.

Differential decay widths as a function of photon energy are presented.

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.