6533b7d8fe1ef96bd126a3dc

RESEARCH PRODUCT

Masses, mixings, Yukawa couplings and their symmetries

Arcadi Santamaria

subject

PhysicsNuclear and High Energy PhysicsParticle physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyYukawa potentialFOS: Physical sciencesObservableRenormalization groupPartícules (Física nuclear)High Energy Physics - PhenomenologyStandard Model (mathematical formulation)Theoretical physicsHigh Energy Physics - Phenomenology (hep-ph)Homogeneous spaceGauge theorySimetria (Física)ParametrizationParticle Physics - Theory

description

We present a method to find the number of real and imaginary observable parameters coming from the Yukawa sector in an arbitrary gauge theory. The method leads naturally to a classification of Yukawa couplings according to their symmetries and suggests a new parametrization of masses and mixings that is useful to study the behaviour of Yukawa couplings under the renormalization group. We apply it to some examples based on the Standard Model with Yukawa couplings obeying various chiral symmetries. We also show how our method of parameter counting can be used in some models with an enlarged leptonic sector.

https://doi.org/10.1016/0370-2693(93)91110-9