Using The Soft Gluon Resummation Technique Under NRQCD To Study The Lateral Momentum Distribution Of The Double Quark Couplets

In the framework of nonrelativistic quantum chromodynamics(NRQCD)theory,we study the production of heavy quarkonium in the process of hadron hadron collision at the Large Hadron Collider(LHC),which mainly includes two processes:p + p ? J/? + J/?,p + p ??(1S)+ ?(1S).We calculated the cross section of double J/? on the LHC based on the theoretical method of NRQCD,and the distribution relationship of the total transverse momentum of the final state also is studied.It is an important way for us to understand QCD by studying the production of heavy quarkonium.In the experiment,LHCb and CMS collaborations have measured the scattering cross section of the production process of double J/? individually.We mainly study the transverse momentum distribution of double J/? production at LHC.Because of the large logarithmic terms in the high-order perturbative calculation,the perturbative expansion will not be reliable anymore.In order to calculate the contribution of these large logarithmic terms,we need to use the method of resummation to resum all these terms to all orders of perturbative expansion.Finally,we find that the theoretical prediction is consistent with the experimental results within the experimental uncertanty,and we also calculated the production of double ?(1S)at LHC.In the last section,we summarize the work and talk about the future possible development of our studies.