A Higher-Derivative Lee-Wick Standard Model

TL;DR

This paper extends the Lee-Wick Standard Model by adding higher-derivative terms, resulting in each particle having two Lee-Wick partners with opposite norms, which collectively address the hierarchy problem.

Contribution

Introduction of a next-to-minimal higher-derivative Lee-Wick Standard Model with two partners per particle, formulated via an auxiliary field approach.

Findings

Cancels quadratic divergences effectively

Reformulates the theory with dimension-four interactions

Provides a framework for phenomenological studies

Abstract

The Lee-Wick Standard Model assumes a minimal set of higher-derivative quadratic terms that produce a negative-norm partner for each Standard Model particle. Here we introduce additional terms of one higher order in the derivative expansion that give each Standard Model particle two Lee-Wick partners: one with negative and one with positive norm. These states collectively cancel unwanted quadratic divergences and resolve the hierarchy problem as in the minimal theory. We show how this next-to-minimal higher-derivative theory may be reformulated via an auxiliary field approach and written as a Lagrangian with interactions of dimension four or less. This mapping provides a convenient framework for studies of the formal and phenomenological properties of the theory.