Running of Radiative Neutrino Masses: The Scotogenic Model - REVISITED

TL;DR

This paper revisits the renormalisation group equations in the scotogenic model, providing updated calculations, analytical solutions, and a comprehensive analysis of parameter running to connect low- and high-energy phenomenology.

Contribution

It offers a new computation of RGEs for the scotogenic model, including detailed matching conditions and approximate analytical solutions for various scenarios.

Findings

Updated RGEs for the scotogenic model

Analytical solutions matching numerical results

Framework for linking low- and high-energy parameters

Abstract

A few years ago, it had been shown that effects stemming from renormalisation group running can be quite large in the scotogenic model, where neutrinos obtain their mass only via a 1-loop diagram (or, more generally, in many models in which the light neutrino mass is generated via quantum corrections at loop-level). We present a new computation of the renormalisation group equations (RGEs) for the scotogenic model, thereby updating previous results. We discuss the matching in detail, in particular in what regards the different mass spectra possible for the new particles involved. We furthermore develop approximate analytical solutions to the RGEs for an extensive list of illustrative cases, covering all general tendencies that can appear in the model. Comparing them with fully numerical solutions, we give a comprehensive discussion of the running in the scotogenic model. Our approach is mainly top-down, but we also discuss an attempt to get information on the values of the fundamental parameters when inputting the low-energy measured quantities in a bottom-up manner. This work serves the basis for a full parameter scan of the model, thereby relating its low- and high-energy phenomenology, to fully exploit the available information.