Abstract
A beyond the standard model theory that respects parity symmetry at short distances is known to provide a solution to the strong problem without the need for an axion, while keeping the Cabibbo-Kobayashi-Maskawa phase unconstrained. In this paper we present a supersymmetric SO(10) grand unified embedding of this idea with Yukawa couplings generated by , and Higgs fields. This model is known to provide a unified description of masses and mixings of quarks and leptons. When 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, , we show that there are no other tree level sources of in the model; also guarantees that the one- and two-loop contributions to vanish. We then show that the leading three-loop effects and the effect of higher-dimensional operators invariant under give rise to near the current experimental bound, making the model testable in the current searches for neutron electric dipole moment.
- Received 21 March 2019
DOI:https://doi.org/10.1103/PhysRevD.99.115025
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society