Real and Complex Fundamental Partial Compositeness

TL;DR

This paper analyzes effective field theories for minimal models of fundamental partial compositeness, focusing on fermions in complex and real representations, and evaluates their phenomenological constraints and differences.

Contribution

It completes the analysis of minimal partial compositeness models by exploring complex and real fermion representations, extending previous work on pseudo real cases.

Findings

Determined vacuum alignment for both models

Assessed electroweak precision constraints

Compared differences among minimal models

Abstract

We complete the analysis of the effective field theory at the electroweak scale for minimal models of fundamental partial compositeness. Specifically, we consider fermions in the complex and real representation of the gauge group underlying the composite Higgs dynamics, since the pseudo real representation was investigated earlier. The minimal models feature the cosets SU(4)xSU(4)/SU(4)_D and SU(5)/SO(5) respectively for the complex and real representations. We determine the vacuum alignment, the electroweak precision constraints, additional collider constraints. We finally discuss the main differences among the different models of minimal partial compositeness.