Neutrino Mixing from SUSY breaking

TL;DR

This paper introduces a mechanism where supersymmetric threshold corrections, enhanced by quasi-degenerate neutrino masses, can generate the observed neutrino mixing matrix through flavor-violating soft terms, applicable beyond SUSY.

Contribution

It demonstrates how flavor-violating soft breaking terms in SUSY can produce realistic neutrino mixing matrices via threshold corrections, extending the approach to non-SUSY theories with new flavor structures.

Findings

Threshold corrections can reproduce observed neutrino mixing.

Corrections persist at high SUSY scales.

Method applicable to non-SUSY theories with flavor violation.

Abstract

We propose a mechanism to generate the neutrino mixing matrix from supersymmetric threshold corrections. Flavor violating soft breaking terms induce flavor changing self-energies that give a finite renormalization to the mixing matrix. The described threshold corrections get enhanced in case of quasi-degenerate neutrino masses. In this scenario, we adjust potentially arbitrary soft breaking parameters in a way to reproduce the observed neutrino mixing at one loop working with non-minimal flavor violating soft parameters. To incorporate small neutrino masses already at tree-level via a type I seesaw mechanism, we extend the Minimal Supersymmetric Standard Model with singlet Majorana neutrinos. The radiative corrections do not decouple with the scale of Supersymmetry and persist when the spectrum is shifted to higher values. Moreover, the mixing matrix renormalization with flavor-changing self-energies is not restricted to supersymmetric theories and give similar results in any theory with new flavor structures.