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Reducing Complex Phases and other Subtleties of CP Violation

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arxiv 2407.07158 v1 pith:4M3AUYQ2 submitted 2024-07-09 hep-ph

classification hep-ph
keywords complexphasescasemodelreducingalternativebento-branco-paradacomment
verification ladder T0 review T1 audit T2 compute T3 formal
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When extending the SM, e.g. with vector-like quarks (VLQ), one inevitably encounters more than one CP violating complex phases. In this work, we develop a method useful in reducing the number of complex phases in scenarios with one and two VLQs. We show that these VLQ-models can be described with just one or two physical complex phases respectively and present an explicit alternative parametrization for the quark mixing matrix. Making use of this Reduction of Complex Phases in the case of the Bento-Branco-Parada (BBP) model, i.e. the simplest implementation of the Nelson-Barr solution to the strong CP problem, one also recovers the single phase formulation of BBP model. We comment on how this specific scenario can be distinguished from the general VLQ case with weak-basis invariants

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Vector-like quark doublets, weak-basis invariants and CP violation

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Vector-like quark doublets allow CP violation in weak-basis invariants of mass dimension six; the resulting framework organizes the model's parameters, gives the complete CP-odd invariant set for one doublet, and link...

  2. Domain walls in Nelson-Barr axion model

    hep-ph 2024-12 conditional novelty 6.0 of 10

    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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