The other Higgses, at resonance, in the Lee-Wick extension of the Standard Model

TL;DR

This paper explores the phenomenology of Lee-Wick Higgs bosons at the LHC, highlighting their potential to produce distinctive resonance signals and dip-peak structures in collider experiments, and introduces methods to analyze their properties.

Contribution

It provides a detailed analysis of Lee-Wick Higgs signatures at the LHC, including resonance production, decay channels, and a new technique for diagonalizing the Lee-Wick mass matrix.

Findings

LW Higgs can be observed below the top pair threshold after LHC upgrade

Distinctive dip-peak structure in top pair production due to wrong-sign propagator

A new method simplifies the diagonalization of Lee-Wick mass matrices

Abstract

Within the framework of the Lee Wick Standard Model (LWSM) we investigate Higgs pair production $gg \to h_0 h_0$, $gg \to h_0 \tilde p_0$ and top pair production $gg \to \bar tt$ at the Large Hadron Collider (LHC), where the neutral particles from the Higgs sector ($h_0$, $\tilde h_0$ and $\tilde p_0$) appear as possible resonant intermediate states. We investigate the signal $gg \to h_0 h_0 \to \bar b b \gamma \gamma$ and we find that the LW Higgs, depending on its mass-range, can be seen not long after the LHC upgrade in 2012. More precisely this happens when the new LW Higgs states are below the top pair threshold. In $gg \to \bar tt$ the LW states, due to the wrong-sign propagator and negative width, lead to a dip-peak structure instead of the usual peak-dip structure which gives a characteristic signal especially for low-lying LW Higgs states. We comment on the LWSM and the forward-backward asymmetry in view of the measurement at the TeVatron. Furthermore, we present a technique which reduces the hyperbolic diagonalization to standard diagonalization methods. We clarify issues of spurious phases in the Yukawa sector.