Minimal Flavour Violation

Abstract

These lectures give a description of models with minimal flavour violation (MFV) that can be tested in $B$ and $K$ meson decays. This class of models can be formulated to a very good approximation in terms of 11 parameters: 4 parameters of the CKM matrix and 7 values of the {\it universal} master functions $F_r$ that parametrize the short distance contributions. In a given MFV model, $F_r$ can be calculated in perturbation theory and are generally correlated with each other but in a model independent analysis they must be considered as free parameters. We conjecture that only 5 or even only 4 of these functions receive significant new physics contributions. We summarize the status of the CKM matrix, outline strategies for the determination of the values of $F_r$ and present a number of relations between physical observables that do not depend on $F_r$ at all. We emphasize that the formulation of MFV in terms of master functions allows to study transparently correlations between $B$ and $K$ decays which is very difficult if Wilson coefficients normalized at low energy scales are used instead. We discuss briefly a specific MFV model: the Standard Model with one universal large extra dimension.

Zakopane lectures 2003, Main latex-file, 8 figures, 54 pages

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Cited by in corpus (24)

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• The UTfit Collaboration Report on the Status of the Unitarity Triangle beyond the Standard Model I. Model-independent Analysis and Minimal Flavour Violation
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• Particle-Antiparticle Mixing, ε_K and the Unitarity Triangle in the Littlest Higgs Model
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• Stringent Tests of Constrained Minimal Flavour Violation through Delta F=2 Transitions
• Supersymmetric Flavor-Changing Sum Rules as a Tool for b -> s gamma
• Dimuon CP Asymmetry in B Decays and Wjj Excess in Two Higgs Doublet Models
• Supersymmetric contributions to ${\bar{B}}_s\to \varphi {\pi }^0$ and ${\bar{B}}_s\to \varphi {\rho }^0$ decays in SCET
• Effective Theories for Flavour Physics beyond the Standard Model
• A Guide to Flavour Changing Neutral Currents in the Littlest Higgs Model with T-Parity
• Flavour Theory and the LHC Era
• Moriond Electroweak 2006: Theory Summary
• The Minimal Flavor Violating MSSM: application to meson mixings