Abstract
Within the MSSM and SM frameworks, we analyze the 1loop electroweak (EW)predictions for the helicity amplitudes describing the 17 processes $gg\toHH'$, and the 9 processes $gg\to VH$; where $H,H'$ denote Higgs or Goldstonebosons, while $V= Z, ~W^\pm$. Concentrating on MSSM, we then investigate howthe asymptotic helicity conservation (HCns) property of SUSY, affects theamplitudes at the LHC energy range; and what is the corresponding situation inSM, where no HCns theorem exists. HCns is subsequently used to construct manyrelations among the cross sections of the above MSSM processes, depending onlyon the angles $\alpha$ and $\beta$. These relations should be asymptoticallyexact, but with mass-depending deviations appearing, as the energy decreasestowards the LHC range. Provided the SUSY scale is not too high, they may remainroughly correct, even at the LHC energy range.