Classification of anomaly-free 2HDMs with a gauged U(1)′ symmetry

Abstract

Two-Higgs-doublet models (2HDMs) with a flavored Uð1Þ 0 gauge symmetry are a popular extension to the Standard Model (SM), yet they currently lack a complete survey. In this paper, we present a full classification of anomaly-free 2HDMs within the SM fermion content, resulting in a total of 11 distinct models. Four of these are relatively well studied, while the rest either partially, or entirely, lack previous treatment. We study these textures under a variety of experimental bounds, focusing mainly on the previously unexplored models. This work is intended to act as a catalog to models worth considering in greater detail.

Anomaly-free 2HDMs with a gauged Abelian symmetry and two generations of right-handed neutrinos

“…As the heavy eigenstates decouple, the scalar potential and the new gauge sector have the same form as in Ref. [19].…”

“…2 These have the same form as in Ref. [19], but with an additional term −X 3 ν j for A 1 0 1 0 1 0 , and −X ν j for A gg1 0 , respectively, with j ¼ 1, 2. For efficient methods on extracting anomaly-free solutions, see Refs.…”

“…To this end, we will use the procedure introduced in Ref. [19], i.e., using a set of minimal constraints, in addition to avoiding textures that are equivalent up to permutations of flavor indices.…”

“…Let us begin with the charged lepton sector, which is the only sector with the same minimal textures as in Ref. [19]. Here, the requirement of a nonzero determinant forces the combined texture of Π 1 and Π 2 to have at least one nonzero entry in each row and each column.…”

“…While this is a reasonable outcome, their dominance has led to a significant research gap in terms of possible Yukawa textures. For example, as noted in our earlier work [19], more than half of all anomaly-free implementations of a 2HDM with a gauged Uð1Þ flavor symmetry had never been previously considered.…”