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Jarlskog-like invariants for theories with scalars and fermions

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arxiv hep-ph/9411288 v1 pith:LX64GBLW submitted 1994-11-14 hep-ph

Jarlskog-like invariants for theories with scalars and fermions

classification hep-ph
keywords theoriesbasisfermionsinvariantsscalarscalarsthoseunder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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