Baryon number non-conservation as Peccei-Quinn mechanism

TL;DR

This paper explores the potential link between Peccei-Quinn symmetry and baryon number violation, proposing that the axion could be a Nambu-Goldstone boson of baryon number violation, leading to observable baryon number violating processes.

Contribution

It introduces a novel framework connecting Peccei-Quinn symmetry with baryon number violation and develops a method to determine baryon and lepton numbers of new scalars in this context.

Findings

Prediction of characteristic baryon number violating processes

Identification of the axion as a Nambu-Goldstone boson of baryon number violation

Development of a general method for scalar charge determination

Abstract

Baryon number is an accidental symmetry in the standard model, while Peccei-Quinn symmetry is hypothetical symmetry which is introduced to solve the strong CP problem. We study the possible connections between Peccei-Quinn symmetry and baryon number symmetry. In this framework, an axion is identified as the Nambu-Goldstone boson of baryon number violation. As a result, characteristic baryon number violating processes are predicted. We developed the general method to determine the baryon number and lepton number of new scalar in the axion model.