Abstract
We revisit and extend realizations of Minimal Flavor Violation (MFV) in theories with strongly coupled electro-weak symmetry breaking. MFV requires that some chiralities of light SM quarks are strongly composite leading, depending on the scenario, to bounds from compositeness searches, precision electro-weak tests or even flavor physics. Within the framework of partial compositeness we show how to extend the MFV paradigm allowing the treat the top quark differently. This can be realized if for example the strong sector has an U(2) symmetry. In this case the light generations can be mostly elementary and all the bounds are easily satisfied.
Highlights
Flavor physics is the main outstanding problem of all extensions of the Standard Model (SM) that solve the hierarchy problem
We study extensions of Minimal Flavor Violation (MFV) which allow small compositeness of light quarks in section 4, showing that they can be in agreement with flavor, Electric Dipole Moments (EDMs) and precision tests
The framework of partial compositeness allows new realizations of flavor in strongly coupled theories that will be tested at the LHC
Summary
Flavor physics is the main outstanding problem of all extensions of the Standard Model (SM) that solve the hierarchy problem. We cannot at present quantify how worrisome these tensions are but if the paradigm of anarchic partial compositeness is connected to the electro-weak scale, as demanded by naturalness, new flavor physics must be around the corner in various observables Another possibility is that a different flavor structure is realized in these theories. In this note we introduce another category of theories where we treat the top quark differently, allowing the light generations to be mostly elementary compatibly with the flavor symmetry, see [9] for a realization in supersymmetry These theories are based on a flavor symmetry which is a subgroup of the SM flavor symmetries, for example U (3)L ⊗ U (3)Rd ⊗ U (2)Ru. As we will see flavor bounds are similar to MFV but, being the first two generations mostly elementary, all limits from direct searches and precision tests are satisfied.
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