%0 Journal Article %T Weak Interaction Sum Rules for Polarized $t\bar{t} Production at the CERN LHC %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Beccaria, M. %A Renard, F.M. %A Verzegnassi, C. %Z 13 pages, 3 figures, local report number added %< avec comité de lecture %Z PM/05-20 %@ 1550-7998 %J Physical Review D %I American Physical Society %V 72 %P 093001 %8 2005 %D 2005 %Z hep-ph/0506230 %R 10.1103/PhysRevD.72.093001 %Z 12.15.-y, 12.15.Lk, 13.75.Cs, 14.80.Ly %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Journal articles %X We consider two polarization asymmetries in the process of top-antitop production at LHC. We show that the theoretical predictions for these two quantities, at the strong and electroweak partonic one-loop level, are free of QCD and QED effects. At this perturbative level we derive two sum rules, that relate measurable quantities of top-antitop production to genuinely weak inputs. This would allow to perform two independent tests of the candidate theoretical model, with a precision that will be fixed by the future experimental accuracies of the different polarization measurements. A tentative quantitative illustration of this statement for a specific MSSM scenario is enclosed, and a generalization to include two other future realistic measurements is also proposed. %G English %L in2p3-00024402 %U https://hal.in2p3.fr/in2p3-00024402 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2