Abstract
The strong CP problem is a compelling motivation for physics beyond the Standard Model. The most popular solutions invoke a global U(1)PQ symmetry, but are challenged by quantum gravitational corrections which are thought to be incompatible with global symmetries, arguing that realistic theories contain additional structure. We explore a construction in which the U(1)PQ symmetry is protected to arbitrary order by virtue of a supersymmetric, confining SU(N)L × SU(N) × SU(N)R × U(1)X product gauge group, achieving \( \left|\overline{\uptheta}\right| \) < 10−11 for an SU(5) model with fa ≲ 3 × 1011 GeV. This construction leads to low energy predictions such as a U(1)X gauge symmetry, and for X = B − L engineers a naturally \( \mathcal{O} \)(TeV) value for the μ parameter of the MSSM.
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Lillard, B., Tait, T.M.P. A high quality composite axion. J. High Energ. Phys. 2018, 199 (2018). https://doi.org/10.1007/JHEP11(2018)199
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DOI: https://doi.org/10.1007/JHEP11(2018)199