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  • Letter
  • Open Access

Complete solution to the strong CP problem: Supersymmetric extension of the Nelson-Barr model

Jason L. Evans1,*, Chengcheng Han2,3, Tsutomu T. Yanagida1,4, and Norimi Yokozaki5

  • 1T. D. Lee Institute and School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
  • 3School of Physics, KIAS, 85 Hoegiro, Seoul 02455, Republic of Korea
  • 4Kavli IPMU (WPI), UTIAS, University of Tokyo, Kashiwa, Chiba 277-8583, Japan
  • 5Department of Physics, Tohoku University, Sendai, Miyagi 980-8578, Japan

  • *jlevans@sjtu.edu.cn

Phys. Rev. D 103, L111701 – Published 2 June, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L111701

Abstract

We present a supersymmetric solution to the strong CP problem based on spontaneous CP violation which simultaneously addresses the effects coming from supersymmetry breaking. The generated CP violating phase is communicated to the quark sector by interacting with a heavy quark a la Nelson-Barr. The Majorana mass of the right handed neutrinos is generated by interactions with the CP violating sector and so does not conserve CP. This gives the neutrino sector a nontrivial CP violating phase which can then generate the baryon asymmetry of the universe through leptogeneis. The problematic phase in the supersymmetry breaking parameters are suppressed by appealing to a particular gauge mediation model which naturally suppresses the phases of the tree-level gluino mass and Higgs bilinear masses. This suppression plus the fact that in gauge mediation all loop generated flavor and CP violation is of the minimal flavor violation variety allows for a complete and consistent solution to the strong CP problem.

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