Jarlskog-like invariants for theories with scalars and fermions

Abstract

Within the framework of theories where both scalars and fermions are present, we develop a systematic prescription for the construction of CP-violating quantities that are invariant under basis transformations of those matter fields. In theories with Spontaneous Symmetry Breaking, the analysis involves the vevs' transformation properties under a scalar basis change, with a considerable simplification of the study of CP violation in the scalar sector. These techniques are then applied in detail to the two Higgs-doublet model with quarks. It is shown that there are new invariants involving scalar-fermion interactions, besides those already derived in previous analyses for the fermion-gauge and scalar-gauge sectors.

12 pages, Latex, no figures

References in corpus (2)

• Fundamental CP-violating quantities in a SU(2)$\otimes$U(1) model with many Higgs doublets
• CP Violation in the Decay $b\to s\gamma$ in the Two-Higgs Doublet Model

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