# Minimal Fundamental Partial Compositeness

## TL;DR

This paper develops comprehensive effective field theories for minimal fundamental partial compositeness, connecting composite dynamics with Standard Model fields and analyzing implications for third-generation quarks.

## Contribution

It provides the first complete effective field theories matching minimal fundamental partial compositeness models, applicable to any composite electroweak symmetry breaking theory.

## Key findings

- Derived effective operators at the electroweak scale from composite theories
- Analyzed physical consequences for third-generation quarks
- Discussed relations with other theoretical approaches

## Abstract

Building upon the fundamental partial compositeness framework we provide consistent and complete composite extensions of the standard model. These are used to determine the effective operators emerging at the electroweak scale in terms of the standard model fields upon consistently integrating out the heavy composite dynamics. We exhibit the first effective field theories matching these complete composite theories of flavour and analyse their physical consequences for the third generation quarks. Relations with other approaches, ranging from effective analyses for partial compositeness to extra dimensions as well as purely fermionic extensions, are briefly discussed. Our methodology is applicable to any composite theory of dynamical electroweak symmetry breaking featuring a complete theory of flavour.