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arXiv · 2309.06964

Dynamics of Superconformal Axion: Quality and Scalegenesis

Shota Nakagawa·Yuichiro Nakai·Masaki Yamada·Yufei Zhang
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Abstract

We explore a dynamical mechanism to realize the emergence of a global $U(1)_{\rm PQ}$ symmetry and its spontaneous breaking at an intermediate scale for an axion solution to the strong CP problem. Such a dynamics is provided by a new supersymmetric QCD near the middle of conformal window that couples to fields spontaneously breaking the $U(1)_{\rm PQ}$ symmetry. A large anomalous dimension of the $U(1)_{\rm PQ}$ breaking fields leads to the suppression of explicit $U(1)_{\rm PQ}$-violating higher dimensional operators. The $U(1)_{\rm PQ}$ breaking vacuum is generated at a scale hierarchically smaller than the Planck scale by a non-perturbative effect. The $U(1)_{\rm PQ}$ breaking drives the conformal breaking, and all the new quarks become massive. The axion potential is generated by the ordinary color $SU(3)_C$ effect as the $U(1)_{\rm PQ}$ symmetry is only anomalous under the $SU(3)_C$. The saxion direction is stabilized by supersymmetry breaking and cosmologically harmless.

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Shota Nakagawa, Yuichiro Nakai, Masaki Yamada, Yufei Zhang. 2023-09-13. Dynamics of Superconformal Axion: Quality and Scalegenesis. https://doi.org/10.1016/j.physletb.2024.138447

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