Composite MFV and Beyond

TL;DR

This paper addresses realizing Minimal Flavor Violation (MFV) in strongly coupled EWSB via partial compositeness and analyzes beyond-MFV possibilities with top-specific flavor symmetry. It develops a power-counting framework to predict effective operator coefficients in terms of the strong-sector scale $m_\rho$ and coupling $g_\rho$, comparing realizations with partially composite light quarks. It identifies an intermediate scenario with a $U(3)_L ⊗ U(3)_{Rd} ⊗ U(2)_{Ru}$ flavor symmetry that treats the top separately, enabling light generations to remain mostly elementary and satisfying flavor and EDM bounds. It analyzes both right-handed and left-handed compositeness, RZ-type models, and CP phases, highlighting LHC phenomenology (e.g., di-jet searches) and offering a roadmap for testing these frameworks.

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.