Split supersymmetry at the logarithmic test of future colliders

Abstract

We consider a large number of pair production processes at future colliders (LHC, ILC) for values of the c.m. energy in the TeV range, where a logarithmic expansion of Sudakov kind would provide a reliable description of Split supersymmetric electroweak effects. We calculate all the leading and next to leading terms of the expansions, that would differ drastically in the considered domain from those of an extreme "light" scenario. We imagine then two possible competitive future situations, at LHC and at ILC, where the determination of the energy dependence of the cross sections of certain processes could reveal a "signal" of the correct supersymmetric scheme.

Sudakov Expansions and Top Quark Physics at LHC

“…where √ S is the pp energy, L i j is the luminosity from partons i, j and the various kinematical variables are explained in details in [5].…”

“…They have quite different features as discussed in details in [4]. Application of the Sudakov technique to the three processes have been discussed in [5]. Here we discuss in some details the associated Wt production bg → tW − as a complete application of the previous general discussion.…”

Single production of charged gauge bosons from little Higgs models in association with top quark at the LHC

“…It has been shown that the collinearb component of the inclusive process gg → tbW − can be attached as a QCD NLO correction to bottom quark distribution function of the exclusive process bg → tW − at the partonic level [7,8,9]. The LO contributions to tW − associated production is best considered to arise from the process bg → tW − .…”

“…Its cross section is negligible at the T evatron but of considerable size at the LHC, where it is larger than that of the s-channel process for single top quark production. There is an extensive work on tW associated production at the LHC in the literature [7,8,9].…”

“…Recently, Ref. [9] gives a complete calculation of electroweak supersymmetric effects at one loop to tW associated production at the LHC. In this letter, we will study single production of the charged gauge bosons predicted by the little Higgs models in association with top quark and see whether the possible signals of these new particles can be detected via this process at the LHC.…”