Invariant formulation of CP violation for four quark families

F. del Aguila; J. A. Aguilar-Saavedra

Invariant formulation of CP violation for four quark families

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arxiv hep-ph/9605418 v2 pith:DOKZ53J3 submitted 1996-05-28 hep-ph

F. del Aguila , J. A. Aguilar-Saavedra This is my paper · ORCID

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keywords quarkbasiscasefamiliesfourinvariantmassesmixings

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We find a minimal set of constraints which are independent of the choice of weak quark basis and necessary and sufficient for CP conservation for four quark families, including also the case of degenerate quark masses. These invariant conditions are written in the mass eigenstate basis as a function of the fermion masses and charged current mixings. CP violation is then related to the areas of three unitarity quadrangles and the CP violating effects of the fourth family are discussed in the case of small mixings.

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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...

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