We summarize the extensive work started in ref.1, according to which total helicity is conserved for any two-to-two process, at sqrt{s} larger than M_{SUSY} and fixed angles, in any SUSY extension of SM. Asymptotically the theorem is exact. But it ma
y also have important implications at lower energies sqrt{s} close to M_{SUSY}. Up to now, these have been investigated to 1loop electroweak (EW) order for the processes ug to d W+, sd_L chi+; as well as the 17 gg to HH, and the 9 gg to VH processes, where H,H denote Higgs or Goldstone bosons, and V=Z, W.
We analyze the quark-gluon induced process $u gto tilde dtchi_i^+$, including the one loop electroweak (EW) effects in the minimal supersymmetric model (MSSM). This process is determined by four helicity amplitudes, three of which are violating helic
ity conservation, and another one which respects it and is logarithmically enhanced at high energy. Combining this $u gto tilde dtchi_i^+$ analysis with a corresponding one for $u g to d W^+$, we obtain simple approximate relations between the two processes, testing the MSSM structure at the amplitude and the cross section levels. These relations become exact at asymptotic energies and, provided the SUSY scale is not too heavy, they may be approximately correct at LHC energies also. In addition to these, we study the 1loop EW corrections to the inclusive $tilde dtchi_i^+$ production at LHC, presenting as examples, the $p_T$ and angular distributions. Comparing these to the corresponding predictions for $W$+jet production derived earlier, provides an accurate test of the supersymmetric assignments.
We present a complete 1-loop study of the electroweak corrections to the process $ugto dW^+$ in MSSM and SM. The occurrence of a number of remarkable properties in the behavior of the helicity amplitudes at high energies is stressed, and the crucia
l role of the virtual SUSY contributions in establishing them, is emphasized. The approach to asymptopia of these amplitudes is discussed, comparing the effects of the logarithmic and constant contributions to the mass suppressed ones, which are relevant at lower energies. Applying crossing to $ugto d W^+$, we obtain all subprocesses needed for the 1-loop electroweak corrections to $W^pm$-production at LHC. The SUSY model dependence of such a production is then studied, and illustrations are given for the transverse $W^{pm}$ momentum distribution, as well as the angular distribution in the subprocess center of mass.
