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Cosmology of the companion-axion model: dark matter, gravitational waves, and primordial black holes

by Zhe Chen, Archil Kobakhidze, Ciaran O'Hare, Zachary S C Picker, Giovanni Pierobon

Submission summary

Authors (as registered SciPost users): Zachary Picker
Submission information
Preprint Link: scipost_202411_00056v1  (pdf)
Code repository: https://github.com/cajohare/CompAxion
Date submitted: 2024-11-28 06:12
Submitted by: Picker, Zachary
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Phenomenology
Approaches: Theoretical, Phenomenological

Abstract

The companion-axion model introduces a second QCD axion to rescue the Peccei-Quinn solution to the strong-CP problem from the effects of colored gravitational instantons. As in single-axion models, the two axions predicted by the companion-axion model are attractive candidates for dark matter. The model is defined by two free parameters, the scales of the two axions' symmetry breaking, so we can classify production scenarios in terms of the relative sizes of these two scales with respect to the scale of inflation. We study the cosmological production of companion-axion dark matter in order to predict windows of preferred axion masses, and calculate the relative abundances of the two particles. Additionally, we show that the presence of a second axion solves the cosmological domain wall problem automatically in the scenarios in which one or both of the axions are post-inflationary. We also suggest unique cosmological signatures of the companion-axion model, such as the production of a 10 nHz gravitational wave background, and 100M primordial black holes.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Awaiting resubmission

Reports on this Submission

Report #3 by Anonymous (Referee 2) on 2025-2-12 (Invited Report)

Report

This is the referee report to the manuscript entitled “cosmology of the companion-axion model: dark matter, gravitational waves, and primordial black holes” by Zhe Chen, Archil Kobakhidze, Ciaran O’Hare, Zachary S. C. Picker, and Giovanni Pierobon.

In this manuscript, the authors study cosmological aspects of the companion-axion model, an extention of the original Peccei-Quinn model, which is motivated by the problem with the original solution to the strong CP problem. Specifically, the authors focus on the cosmological evolution of two axions predicted in this model.

First, the authors have carefully derived the relic dark matter abundance in this two axion model and shown the viable parameter region in terms of the corresponding two axion decay constants, which is summarized in Fig. 1. It predicts the relatively heavy axion and the ligher axion. The accessibility by the future cavity experiments is also shown. Then, the authors have derived the isocurvature bound in their model. The bound on the inflationary Hubble scale in terms of the two initial misalignment angles is calculated and summarized in Fig. 2.

Next, the authors focus on the domain wall formation in their model. In particular, the domain wall annihilation with the potential bias term and the emission of gravitational waves are analysed. The authors estimated the peak frequency and the relic density parameter of the predicted stochastic gravitational wave banckground, which is summerized in Fig. 3.
Finally, the authors study the primordial black hole formation from domain walls in this model. The mass and the abundance of PBHs are roughly estimated, and as a result ~100 solar mass PBH is predicted.

On the whole, the discussion is clear and the results have enough scientific impact. I think however the manuscript needs some minor revisions as listed below.

- Although the reader can refer the previous works[14,15], the motivation of the companion axion model should be written in more detail, such as the brief introduction of the charged gravitational instantons, extra CP-violation, the problem of the original PQ solution, the physical meaning of the kappa parameter (in eq (1)) and reason for its viable range, 0.04 - 0.6 (because it is important for the domain wall annihilation).

- In the r.h.s. of eq. (1), I think the second term in the cosine function should be a’ (not a).

- The authors should comment on the parameters theta and theta_g in eq. (1), especially, the viable range of these parameters.

Once the above issues are addressed, I think this manuscript satisfies the acceptance criteria and desrves the publication in SciPost Physics.

Recommendation

Ask for minor revision

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Report #2 by Anonymous (Referee 1) on 2025-1-30 (Invited Report)

Report

In this paper, the authors studied the cosmology of two QCD axion fields in the presence of two potentials, one from the usual QCD instanton and the other from what they call colored gravitational instantons. They calculated the dark matter abundance, isocurvature perturbations, and gravitational waves from domain wall collapse in this model.

I am not particularly convinced by their starting point, Eq. (1). Their claim, based on their previous paper Ref. [14], is that gravity introduces an additional potential to the axion whose size is not suppressed by the Planck scale and can be as large as 0.1 times the standard QCD potential. This is a strong claim, and as far as I know, this is far from being widely accepted. Therefore, I think the authors should, at least, add an explanation as to why they believe that gravity effects, which I would normally expect to be suppressed by the Planck scale, have such a huge contribution so that readers can notice this potential caveat. I know that this was the topic of their previous paper, but it makes sense to me to add an explanation again. Related to this point, the authors may address how their result is affected by the size of κ, as this parameter controls the gravitational contribution.

Putting this point aside, I can view this paper as a study of the cosmology of a two-axion(-like particle) model. However, there is previous literature studying this topic, and the analysis in this paper does not seem particularly new in this respect. Given my suspicion of their starting point, I therefore cannot recommend this paper for publication.

Recommendation

Reject

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