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$CP$ issues in the SM from a view point of spontaneous $CP$ violation

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arxiv 2309.04783 v2 pith:CED65ET4 submitted 2023-09-09 hep-ph

classification hep-ph
keywords violationmodelspontaneousasymmetrygiveissuesmatrixnumber
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The standard model (SM) has several issues related to the $CP$ violation which could give clues to search physics beyond the SM. They are a $CP$ phase in the CKM matrix, the strong $CP$ problem, $CP$ phases in the PMNS matrix and $CP$ asymmetry in lepton number violating processes related to baryon number asymmetry. We consider a model which could give a unified explanation for them in a framework of spontaneous $CP$ violation. It is an extension of the SM with vector-like fermions and singlet scalars. In this model, they are explained by a common complex phase caused in the spontaneous $CP$ violation. We present concrete examples for them and also discuss some relevant phenomenology.

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    The QCD instanton potential can act as a bias that collapses the domain walls of the Nelson-Barr axion, dynamically selecting the CP-conserving vacuum and yielding either dark matter or a NANOGrav-range gravitational ...

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