Renormalization Group Evolution of Flavour Invariants
arXiv:1507.00328
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.
arXiv comment27 pages, 3 figures
References in corpus (19)
- Dimension-Six Terms in the Standard Model Lagrangian
- Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
- Implications of LHCb measurements and future prospects
- General Minimal Flavor Violation
- Towards the Identification of New Physics through Quark Flavour Violating Processes
- Supersymmetric models with minimal flavour violation and their running
- Minimal Flavour Violation and Beyond
- Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices
- Large Top Mass and Non-Linear Representation of Flavour Symmetry
- Sequential Flavour Symmetry Breaking
- On The Potential of Minimal Flavour Violation
- Universal Evolution of CKM Matrix Elements
- Three-loop SM beta-functions for matrix Yukawa couplings
- Naturally large Yukawa hierarchies
- Yukawa hierarchies from spontaneous breaking of the $\bma{SU(3)_L\times SU(3)_R}$ flavour symmetry?
- Quark masses, mixings, and CP violation from spontaneous breaking of flavor
- Scale dependence of the quark masses and mixings: leading order
- Exact One-Loop Evolution Invariants in the Standard Model
- Combining Pati-Salam and Flavour Symmetries