Dynamical CP Violation from Non-Invertible Selection Rules

TL;DR

This paper introduces a new mechanism where leptonic CP violation arises dynamically through radiative breaking of non-invertible selection rules, with implications for neutrino masses and cosmological phenomena.

Contribution

It proposes a novel dynamical CP violation mechanism based on non-invertible selection rules, demonstrated within the Inverse Seesaw model, with broader implications for particle physics.

Findings

Majorana mass of sterile neutrino generated via the mechanism

CP violation realized through loop corrections to initial symmetries

Potential applications to strong CP problem, leptogenesis, and baryogenesis

Abstract

We propose a novel mechanism in which leptonic CP-violating phases are generated dynamically through the radiative breaking of non-invertible selection rules. In this framework, tree-level mass matrices, initially constrained by a CP-like symmetry within a non-invertible structure, acquire flavor-dependent phases once loop corrections are incorporated. Furthermore, these corrections can also generate mass terms, thereby addressing the mass hierarchy problem. As an illustrative example, we employ the Inverse Seesaw (ISS) model to demonstrate how the Majorana mass of the light sterile neutrino $N_L$ arises via this mechanism while simultaneously realizing CP violation. Although our analysis is carried out within the ISS framework, the mechanism has broader implications, potentially offering new perspectives on CP-related problems such as the strong CP problem, leptogenesis, and baryogenesis. This work thus establishes a foundation for exploring the dynamical breaking of non-invertible selection rules as a novel origin of CP violation in particle physics.