New class of supersymmetric signatures in the processesgg→HH′,VH

Abstract

Within the minimal supersymmetric model (MSSM) and standard model (SM) frameworks, we analyze the 1loop electroweak predictions for the helicity amplitudes describing the 17 processes $gg\ensuremath{\rightarrow}H{H}^{\ensuremath{'}}$, and the 9 processes $gg\ensuremath{\rightarrow}VH$; where $H$, ${H}^{\ensuremath{'}}$ denote Higgs or Goldstone bosons, while $V=Z$, ${W}^{\ifmmode\pm\else\textpm\fi{}}$. Concentrating on MSSM, we then investigate how the asymptotic helicity conservation (HCns) property of supersymmetry (SUSY) affects the amplitudes at the LHC energy range and what is the corresponding situation in the SM, where no HCns theorem exists. HCns is subsequently used to construct many relations among the cross sections of the above MSSM processes, depending only on the standard MSSM angles $\ensuremath{\alpha}$ and $\ensuremath{\beta}$ characterizing the two Higgs doublets. These relations should be asymptotically exact but as the energy decreases toward the LHC range, mass-depending deviations should start appearing. Provided the SUSY scale is not too high, these relations may remain roughly correct, even at the LHC energy range.