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Non-anomalous axions: lessons from the Majoron

Antonio Herrero-Brocal

Abstract

We show that when an anomalous and a non-anomalous global symmetries are spontaneously and simultaneously broken, the resulting Nambu--Goldstone boson is associated with the non-anomalous one. Applied to the Majoron, this implies that its underlying symmetry is $B-L$ rather than $L$, naturally resolving the domain wall problem. This result further demonstrates that effective couplings of the form $a \, F \, \tilde{F}$ do not uniquely indicate an anomalous origin, allowing the detection of non-anomalous Nambu--Goldstone bosons, such as the Majoron, in searches for axion--gauge boson interactions, potentially serving as evidence for the existence of new charged fermions.

Non-anomalous axions: lessons from the Majoron

Abstract

We show that when an anomalous and a non-anomalous global symmetries are spontaneously and simultaneously broken, the resulting Nambu--Goldstone boson is associated with the non-anomalous one. Applied to the Majoron, this implies that its underlying symmetry is rather than , naturally resolving the domain wall problem. This result further demonstrates that effective couplings of the form do not uniquely indicate an anomalous origin, allowing the detection of non-anomalous Nambu--Goldstone bosons, such as the Majoron, in searches for axion--gauge boson interactions, potentially serving as evidence for the existence of new charged fermions.
Paper Structure (8 sections, 13 equations, 1 figure)

This paper contains 8 sections, 13 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The Majoron as the $B-L$ NGB
  3. The QCD axion parallelism
  4. Phenomenological consequences
  5. Domain walls
  6. Axion--like couplings
  7. Toy model
  8. Summary

Figures (1)

  • Figure 1: Feynman diagram leading to the 1--loop coupling of the Majoron to a pair of photons.