Amplitudes for $gg\to V{V}^{\prime }$ and their high energy SUSY constraints

Abstract

We study how the property of asymptotic helicity conservation (HCns), expected for any 2-to-2 process in the minimal supersymmetric model (MSSM), is realized in the processes $gg\to \gamma \gamma ,\gamma Z,ZZ,W^{+}{W}^{-}$, at the 1loop electroweak order and very high energies. The violation of this property for the same process in the standard model (SM), is also shown. This strengthens the claim that HCns is specific to the renormalizable SUSY model, and not generally valid in SM. HCns strongly reduces the number of non-vanishing 2-to-2 amplitudes at asymptotic energies in MSSM. Consequences at LHC and higher energy colliders are identified.

29 pages, 39 figures, minor corrections Version to appear in International Journal of Modern Physics A

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