Neutrino seesaw models at one-loop matching: discrimination by effective operators

Using the functional method, one-loop matching of the type-I, -II and -III seesaw models are investigated and the results are presented in both the Green's and the Warsaw bases. Although these models generate the same dimension-5 Weinberg operator, they could induce quite different types of dimension-6 effective operators that can be utilized for model discrimination. We also find the threshold effects from one-loop matching could be significant, which turn out to allow triggering electroweak symmetry breaking radiatively in type-II seesaw while forbid that in type-I/-III models. An analytical criterion for such radiative symmetry breaking is also derived in type-II seesaw. Finally, we investigate the indirect signatures from different types of dimension-6 operators at high-energy colliders, low-energy precision experiments and forward physics facilities for model discrimination.

Automated summary

This article investigates the one-loop matching of type-I, -II, and -III seesaw models using the functional method and presents the results in both Green's and Warsaw bases. Although these models generate the same dimension-5 Weinberg operator, they can induce different types of dimension-6 effective operators that can be used for model discrimination. The study also finds significant threshold effects from one-loop matching, which allow for electroweak symmetry breaking radiatively in type-II seesaw but forbid it in type-I/-III models. An analytical criterion for such radiative symmetry breaking in type-II seesaw is derived. Furthermore, the indirect signatures from different types of dimension-6 operators at high-energy colliders, low-energy precision experiments, and forward physics facilities are investigated for model discrimination.