Renormalization Group Evolution of Flavour Invariants

Abstract

The fermion spectrum in the Standard Model (SM) exhibits hierarchical structures between the eigenvalues of the Yukawa matrices which determine the fermion masses, as well as certain hierarchical patterns in the mixing matrix that describes weak transitions between different fermion generations. A basis-independent description of the SM flavour structure can be given in terms of a complete set of flavour invariants. In this paper, we construct a convenient set of such invariants, and discuss the general form of the renormalization-group equations. We also discuss the simplifications that arise from exploiting hierarchies in Yukwawa couplings and mixings which are present in the SM or its minimal-flavour violating extensions.

27 pages, 3 figures

References in corpus (7)

• General Minimal Flavor Violation
• Supersymmetric models with minimal flavour violation and their running
• Large Top Mass and Non-Linear Representation of Flavour Symmetry
• On The Potential of Minimal Flavour Violation
• Three-loop SM beta-functions for matrix Yukawa couplings
• Exact One-Loop Evolution Invariants in the Standard Model
• Combining Pati-Salam and Flavour Symmetries