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 $gg\to h_0{h}_0$, $gg\to h_0{\tilde{p}}_0$ 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. 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 $gg\to \bar{t}t$ 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.

Comments: 36 pages, 16 figures, 3 tables