Comment on "A three-loop radiative neutrino mass model with dark matter" [Phys. Lett. B 741 (2015) 163]

TL;DR

This paper critically re-evaluates a three-loop radiative neutrino mass model, highlighting the importance of previously neglected contributions and demonstrating that the original benchmark fails to satisfy key physical constraints.

Contribution

It provides a detailed recalculation of the three-loop diagrams and shows that the earlier proposed benchmark point is inadequate under current experimental constraints.

Findings

Previous approximations neglected important contributions.

The original benchmark cannot produce sufficient neutrino masses.

The benchmark violates perturbation theory and experimental constraints.

Abstract

We revisit the calculation of the three-loop diagrams for the radiative neutrino mass generation and consider some relevant constraints on the model recently proposed by L. Jin {\it et al} [Phys. Lett. B 741 (2015) 163]. We find that the previous approximation is inappropriate due to the neglect of some important contributions, and the benchmark point proposed can neither give rise to enough neutrino masses nor accommodate these additional constraints, such as the validity of the perturbation theory, the electroweak precision measurements, and the neutrinoless double beta decays.