Scalar Representations and Minimal Flavor Violation

TL;DR

This paper explores the possible scalar field representations that can couple to quarks under minimal flavor violation, including new color representations, and identifies models with automatic baryon number conservation.

Contribution

It classifies allowed scalar representations and couplings under minimal flavor violation, extending previous models to include new color representations and ensuring baryon number conservation.

Findings

Color  and 6 representations are allowed for scalars.

Renormalizable Yukawa couplings can exist without quark Yukawa factors.

Models automatically conserve baryon number.

Abstract

We discuss the representations that new scalar degrees of freedom (beyond those in the minimal standard model) can have if they couple to quarks in a way that is consistent with minimal flavor violation. If the new scalars are singlets under the flavor group then they must be color singlets or color octets. In this paper we discuss the allowed representations and renormalizable couplings when the new scalars also transform under the flavor group. We find that color \bar{3} and 6 representations are also allowed. We focus on the cases where the new scalars can have renormalizable Yukawa couplings to the quarks without factors of the quark Yukawa matrices. The renormalizable couplings in the models we introduce automatically conserve baryon number.