<p>Axion models generically suffer from a severe quality problem when coupled to gravity. In this article we provide a very simple model with a high quality axion. The axion is a pseudo-Nambu-Goldstone boson of the baryon number symmetry, U(1)<sub><i>B</i></sub>, of a new composite sector that breaks U(1)<sub><i>B</i></sub> spontaneously when it confines. A controlled example is a supersymmetric QCD (SQCD) with <i>N</i><sub><i>c</i></sub> = <i>N</i><sub><i>f</i></sub>. The axion shift symmetry is automatically protected due to the high dimension of the gauge-invariant baryon operator, with the Peccei-Quinn breaking operators arising at dimension <i>N</i><sub><i>c</i></sub> + 2. The standard model gauge group is embedded as a subgroup of the flavor symmetry group of SQCD that has an anomaly with U(1)<sub><i>B</i></sub>, generating the standard coupling with gluons.</p>

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Axion quality problem: keep calm and baryon

  • Prateek Agrawal,
  • Anson Hook,
  • Vazha Loladze,
  • Mario Reig

摘要

Axion models generically suffer from a severe quality problem when coupled to gravity. In this article we provide a very simple model with a high quality axion. The axion is a pseudo-Nambu-Goldstone boson of the baryon number symmetry, U(1)B, of a new composite sector that breaks U(1)B spontaneously when it confines. A controlled example is a supersymmetric QCD (SQCD) with Nc = Nf. The axion shift symmetry is automatically protected due to the high dimension of the gauge-invariant baryon operator, with the Peccei-Quinn breaking operators arising at dimension Nc + 2. The standard model gauge group is embedded as a subgroup of the flavor symmetry group of SQCD that has an anomaly with U(1)B, generating the standard coupling with gluons.