6533b839fe1ef96bd12a5cda

RESEARCH PRODUCT

Jarlskog-like invariants for theories with scalars and fermions

João P. SilvaF. J. Botella

subject

PhysicsQuarkParticle physicsSpontaneous symmetry breakingHigh Energy Physics::LatticeScalar (mathematics)High Energy Physics::PhenomenologyFOS: Physical sciencesFísicaElementary particleFermionTheoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)CP violationSymmetry breakingInvariant (mathematics)

description

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.

10.1103/physrevd.51.3870http://hdl.handle.net/10550/39586