Helicity Amplitudes For Polaried Heavy Quarkoniun Production At LHC

Particle physics is a discipline on the material composition and fundamentalinteractions. The standard model theory was established in nineteen sixties, itincludes the electroweak gauge theory and QCD, this theory successfully withstoodmany test. At present, to explore new physics beyond the standard model and thedescription of strongly interacting QCD non-perturbative problem, is the two majorproblems faced by the particle physics. Because the heavy quarkonium have richkinetic energy scale, so is the ideal system to study perturbative QCD and nonperturbative QCD. Since the first heavy quarkonium are found, heavy quarkoniumphysics has always been a hot issue in the field of particle physics. Especially in thepast twenty years, with all kinds of large-scale experimental devices launched andmany experimental data accumulation, greatly promoted the development and test ofthe strong interaction theory model. But in the test of the theoretical models now,there is progress, confusion and opportunities.In this paper, the theoretical framework in NRQCD factorization method,calculation polaried heavy quarkoniun production at LHC by Helicity amplitudesmethod. First, we use CTEQ6L parton distribution function to calculate the thehelicity angle parameters of the polarization of J/ψand at LHC. The results ofthe calculation of the Leading order show that, Polarization of J/ψand on theLHC tends to cross polarization with the increase of the transverse momentum. It isconsistent with the experimental results be published recently. We use the samesolution, use GRV98LO and MRST2001LO parton distribution functions repeat thecalculation respectively, the difference between the conclusion and the calculationresults of CTEQ6L parton distribution functions is very small. The results show that,the contribution of the result of higher-order correction is very important to heavyquarkonium polarization on the LHC.