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Form of axion in DFSZ models with $U(1)_{PQ}$ symmetry

V. H. Binh, H. N. Long

Abstract

Form of axion state in the DFSZ model is determined by exacted diagonalizing of the mass mixing matrix of $CP$-odd sector. After applying $PQ$ mechanism to determine $PQ$ charges of particles of the model, these $PQ$ charges are used to define the general form of axion. Both of these two methods give consistent and reasonable physical state of axion. The constraint of $PQ$ charge in $DFSZ - I$ model is also pointed out. Then, anomalous couplings of axion-photon-photon is re-examined. Triple-couplings of axion with two fermions are studied. The decay of and axion into a pair of photon is also considered via re-normalizable interactions arising from kinetic terms of scalar fields.

Form of axion in DFSZ models with $U(1)_{PQ}$ symmetry

Abstract

Form of axion state in the DFSZ model is determined by exacted diagonalizing of the mass mixing matrix of -odd sector. After applying mechanism to determine charges of particles of the model, these charges are used to define the general form of axion. Both of these two methods give consistent and reasonable physical state of axion. The constraint of charge in model is also pointed out. Then, anomalous couplings of axion-photon-photon is re-examined. Triple-couplings of axion with two fermions are studied. The decay of and axion into a pair of photon is also considered via re-normalizable interactions arising from kinetic terms of scalar fields.

Paper Structure

This paper contains 17 sections, 104 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Review of the model
  3. Gauge sector
  4. Higgs potential
  5. Scalar sector
  6. Charged scalars
  7. CP-odd scalars
  8. CP-even sector
  9. Yukawa interactions
  10. Yukawa interactions in DFSZ-I model
  11. Yukawa interactions in DFSZ-II model
  12. $PQ$ charges
  13. Constraint for $PQ$ charges
  14. Axion - two SM fermions couplings
  15. Anomaly couplings of axion
  16. ...and 2 more sections

Figures (2)

  • Figure 1: Feynmann diagrams for anomaly coupling of axion-photon-photon with a fermion-loop, all momenta are coming in.
  • Figure 2: Feynman rules for triple-coupling of axion-photon-photon with all momenta are coming in.