Collider Signatures of the N=3 Lee-Wick Standard Model

TL;DR

This paper explores the collider signatures of an N=3 Lee-Wick Standard Model, analyzing how higher-derivative theories with three poles in propagators could produce detectable effects at the LHC, offering potential insights into solving the hierarchy problem.

Contribution

It introduces a higher-derivative Lee-Wick model with three poles, analyzing its collider phenomenology and interference effects, which could be tested with current LHC data.

Findings

N=3 Lee-Wick model predicts verifiable collider signatures

Interference effects of W boson partners influence LHC cross sections

Detectable predictions at 10 fb^(-1) of integrated luminosity

Abstract

Inspired by the Lee-Wick higher-derivative approach to quantum field theory, Grinstein, O'Connell, and Wise have illustrated the utility of introducing into the Standard Model negative-norm states that cancel quadratic divergences in loop diagrams, thus posing a potential resolution of the hierarchy problem. Subsequent work has shown that consistency with electroweak precision parameters requires many of the partner states to be too massive to be detected at the LHC. We consider the phenomenology of a yet-higher derivative theory that exhibits three poles in its bare propagators (hence N=3), whose states alternate in norm. We examine the interference effects of W boson partners on LHC scattering cross sections, and find that the N=3 LWSM already makes verifiable predictions at 10 fb^(-1) of integrated luminosity.