Yukawa Alignment in a Multi Higgs Doublet Model: An effective approach

TL;DR

This paper introduces a model for Yukawa alignment in multi-Higgs doublet models, where a discrete symmetry ensures natural flavor conservation and an effective Yukawa interaction links fermions to hidden sector scalars, providing a new theoretical framework.

Contribution

It presents a novel model for Yukawa alignment in multi-Higgs doublet models based on a discrete symmetry and effective interactions after decoupling of heavy scalars.

Findings

Effective Yukawa interactions connect fermions to hidden scalars.

Yukawa coupling matrices are identical for all hidden sector scalars.

The model achieves flavor conservation without restrictive symmetries.

Abstract

In the two Higgs doublet model, natural flavour conservation can be achieved through the use of a discrete Z2 symmetry. A less restrictive condition is the requirement of alignment in the Yukawa sector. So far, alignment has been an anzatz, not rooted in a specific model. In this letter we present a model for alignment, which starts with 2+N Higgs doublets, with natural flavour conservation imposed by a discrete symmetry. Only two of these scalars couple to the fermions, the other N scalars are in a hidden sector. Assuming that the two scalar doublets coupled to fermions are heavy, their decoupling leads to an effective Yukawa interaction. The latter connects the fermions and the scalars of the hidden sector, and exhibits the same Yukawa coupling matrix for each of the N scalars.