Scale-independent relations between neutrino mass parameters

TL;DR

This paper demonstrates that certain observable combinations in flavor theories, constrained by modular invariance and holomorphicity, remain stable against quantum corrections even without supersymmetry, impacting the standard model and 2HDMs.

Contribution

It reveals the quantum correction immunity of modular symmetry-constrained observables in non-supersymmetric models, extending previous supersymmetric results.

Findings

Observable combinations are highly constrained by modular invariance.

These combinations are immune to quantum corrections in non-supersymmetric models.

Implications for the stability of flavor predictions in the SM and 2HDMs.

Abstract

Theories of flavor operate at various scales. Recently it has been pointed out that in the context of modular flavor symmetries certain combinations of observables are highly constrained, or even uniquely fixed, by modular invariance and holomorphicity. We find that even in the absence of supersymmetry these combinations are surprisingly immune against quantum corrections. This applies, in particular, to the standard model (SM) and certain 2-Higgs doublet models (2HDMs).