A New class of SUSY signatures in the processes gg ---> HH-prime, VH

Within the MSSM and SM frameworks, we analyze the 1loop electroweak (EW) pre- dictions for the helicity amplitudes describing the 17 processes gg → HH ' , and the 9 processes gg → V H; where H, Hdenote Higgs or Goldstone bosons, while V = Z, W ± . Concentrating on MSSM, we then investigate how the asymptotic helicity conservation (HCns) property of SUSY, affects the amplitudes at the LHC energy range; and what is the corresponding situation in 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 α and β characterizing the two Higgs dou- blets. These relations should be asymptotically exact; but as the energy decreases towards 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.