A Grand Unified Parity Solution to Strong CP Problem
| Autor: | Mimura, Yukihiro, Mohapatra, Rabindra N., Severson, Matt |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 99, 115025 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.99.115025 |
| Popis: | A beyond the standard model theory that respects parity symmetry at short distances is known to provide a solution to the strong CP problem without the need for an axion, while keeping the CKM phase unconstrained. In this paper we present a supersymmetric SO(10) grand unified embedding of this idea with Yukawa couplings generated by {\bf 10}, ${\bf \overline{126}}$ and {\bf 120} Higgs fields. This model is known to provide a unified description of masses and mixings of quarks and leptons. When CP symmetry is imposed on this model, the discrete gauge subgroup C of SO(10) combines with it to generate an effective parity symmetry, leading to hermitian quark mass matrices. Imposing an additional discrete symmetry, $G$, we show that there are no other tree level sources of $\theta$ in the model; $G$ also guarantees that the one- and two-loop contributions to $\theta$ vanish. We then show that the leading three-loop effects and the effect of higher-dimensional operators invariant under $G$ give rise to $\theta$ near the current experimental bound, making the model testable in the current searches for neutron electric dipole moment. Comment: 5 pages, 1 figure |
| Databáze: | arXiv |
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