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

Abstract

Within the framework of the Lee-Wick Standard Model (LWSM) we investigate Higgs pair production gg → h 0 h 0, $ gg \to {h_0}{\tilde{p}_0} $ and top pair production $ gg \to \bar{t}t $ 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. Depending on whether the LW Higgs state is below or above the top pair threshold either the hh or tt-channel are dominant and therefore of main interest. 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. In $ gg \to \bar{t}t $ 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.