The Lee-Wick Extension of the Two-Higgs Doublet Model

TL;DR

This paper extends the Lee-Wick Standard Model with a two-Higgs doublet sector, analyzing its theoretical structure, constraints, and potential experimental signatures at the LHC.

Contribution

It introduces a novel two-Higgs doublet Lee-Wick model, deriving mass relations and constraints, and discusses its phenomenological implications.

Findings

The model includes four Higgs doublets with only two additional parameters.

Mass matrices are diagonalized to establish mass relations.

Constraints from B-meson processes limit the model's parameter space.

Abstract

The Lee-Wick Standard Model is a highly constrained model which solves the gauge hierarchy problem at the expense of including states with negative norm. It appears to be macroscopically causal and consistent. This model is extended by considering the two-Higgs doublet extension of the Lee-Wick model. Rewriting the Lagrangian using auxiliary fields introduces two additional doublets of Lee-Wick partners. The model is highly constrained, with only one or two additional parameters beyond that of the usual two-Higgs doublet model, and yet there are four doublets. Mass relations are established by diagonalizing the mass matrices and further constraints are established by studying results from B --> tau nu, neutral B-meson mixing, and B --> X_s gamma. The prospects of detecting evidence for this model at the LHC are discussed.