Abstract
The baryon asymmetry of the universe may be explained by rotations of the QCD axion in field space and baryon number violating processes. We consider the minimal extension of the Standard Model by a non-Abelian gauge interaction, SU(2)R, whose sphaleron process violates baryon number. Assuming that axion dark matter is also created from the axion rotation by the kinetic misalignment mechanism, the mass scale of the SU(2)R gauge boson is fixed as a function of the QCD axion decay constant, and vise versa. Significant portion of the parameter space has already been excluded by new gauge boson searches, and the high-luminocity LHC will further probe the viable parameter space.
Highlights
Symmetry is a Nambu-Goldstone boson and called the QCD axion [8, 9], which obtains a small mass by QCD strong dynamics
After requiring that axion dark matter not be overproduced by the kinetic misalignment mechanism, the amount of the baryon asymmetry produced by axiogenesis is smaller than the observed one
After requiring that axion dark matter be produced by the kinetic misalignment mechanism and the observed baryon asymmetry be produced by axiogenesis from SU(2)R, we obtain a relation between the mass of the new gauge bosons and the QCD axion decay constant
Summary
The QCD axion a arises from an angular direction of a complex PQ symmetry breaking field P ,. It is usually assumed that the angular velocity of the axion field is negligible and does not affect the dynamics of the axion This assumption may not be justified if the saxion takes on a large initial field value in the early universe. Higher dimensional terms of the potential are important, and some of them may explicitly break the U(1) symmetry,. As the saxion field value decreases by the expansion of the universe, the higher dimensional terms become negligible and the U(1) symmetry is approximately conserved. The field P continues to rotate, preserving the angular momentum up to the dilution by the cosmic expansion Such dynamics of a complex field was originally considered for scalar quarks and leptons in Affleck-Dine baryogenesis [14].
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