Abstract

In this paper, we propose a bubble filtering-out mechanism for an asymmetric dark matter scenario during the Peccei-Quinn (PQ) phase transition. Based on a QCD axion model, extended by extra chiral neutrinos, we show that the PQ phase transition can be first order in the parameter space of the model and regarding the PQ symmetry breaking scale, the mechanism can generate PeV-scale heavy neutrinos as a dark matter candidate. Considering a CP-violating source, during the phase transition, discriminating between the neutrino and antineutrino number density, we find the observed dark matter relic abundance, such that the setup can be applied to the first order phase transition with different strengths. We then calculate effective couplings of the QCD axion addressing the strong CP problem within the model. We also study the energy density spectrum of gravitational waves generated from the first order phase transition and show that the signals can be detected by future ground-based detectors such as Einstein Telescope. In particular, for a visible heavy axion case of the model, it is shown that gravitational waves can be probed by DECIGO and BBO interferometers. Furthermore, we discuss the dark matter-standard model neutrino annihilation process as a source for the creation of PeV-scale neutrinos.

Highlights

  • Peccei-Quinn (PQ) symmetry U(1)PQ is spontaneously broken according to QCD axion models, resolving the strong CP problem [9, 10].1 Provided that the PQ PT is first order, the highly massive DM candidates can be naturally generated through the bubble filteringout mechanism

  • Based on a QCD axion model, extended by extra chiral neutrinos, we show that the PQ phase transition can be first order in the parameter space of the model and regarding the PQ symmetry breaking scale, the mechanism can generate PeV-scale heavy neutrinos as a dark matter candidate

  • Based on a QCD axion model extended by chiral neutrinos, where one of the flavors plays the role of DM, we find the one-loop finite temperature effective potential and show that the PT can be first order within the parameter space of the theory

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Summary

The model

Due to the anomalous U(1) axial symmetry of strong interactions and QCD vacuum structure, an effective CP-violating term associated with θ-vacuum is allowed in the Lagrangian. This term contributes to the neutron electric dipole moment, dn ≈ 3.6 × 10−16θe cm [26], which is experimentally constrained |dn| < 2.9 × 10−26 e cm (90% C.L.) [27] and thereby θ 10−10. At QCD scales, the interaction of a pseudo-scalar field, the axion a, is effectively added to the Lagrangian, (a/fa + θ)GG, where fa is the.

First order Peccei-Quinn phase transition
Dark matter relic abundance
Axion couplings
Gravitational wave signals
Gravitational wave signals within a heavy axion case
Effective dark matter interactions
Conclusion

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