Abstract
A global U(1)PQ symmetry is protected from gravitational effects in the s-confining SU(N)k product group theory with \( A + 4Q+N\overline{Q} \) matter. If the SU(4) family symmetry is gauged and an appropriate tree-level superpotential is added, then the dynamically generated superpotential spontaneously breaks SU(4) × U(1)PQ → SU(3)c and produces a QCD axion. Small values of the CP -violating θ parameter are then possible without any fine-tuning, as long as the product group is suitably large. By introducing a second copy of the s-confining SU(N) product group also coupled to the gauged SU(4), we find that values as small as N = 7 are consistent with \( \overline{\theta}<1{0}^{-10} \), even under the pessimistic assumption that the dominant contribution to the axion quality is at tree level.
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Lillard, B., Tait, T.M. A composite axion from a supersymmetric product group. J. High Energ. Phys. 2017, 5 (2017). https://doi.org/10.1007/JHEP11(2017)005
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DOI: https://doi.org/10.1007/JHEP11(2017)005