Quantum chromodynamics(QCD)is a basic theory to describe interaction between quarks and gluons,the study about it is an important task for the current high energy physics.Heavy quarkonium physics provides a good experimental platform for the study of QCD in perturbative and non-perturbative physics.About 20 years ago,it’s the first time it was proposed to describe heavy quarkonium production and decay processes,as a strict theoretical approach,non-relativistic QCD(NRQCD)has been widely used in the experimental and theoretical study of heavy quarkonium physics.At present,NRQCD is believed to be the most promising theory to describe heavy quarkonium physics.However,it also meet many challenges,and its test is an important subject in the field of particle physics in recent 30 years.To test the NRQCD theory,studying more heavy quarkonium production and decay processes are important way.Large Hadron Collider(LHC)is a hadron collider with design a centroid collision energy of 14 TeV.Now it runs at 13 TeV.LHC provides a good experimental platform for us to study heavy quarkonium physics.At the LHC,the production process of heavy quarkonium associated with agauge boson is a very important channel to study NRQCD experiment,and because its final state can be detected by photons or pure lepton.In this paper,the production processes of heavy quarkonium associated with gauge boson are discussed at the LHC.We mainly study two processes at the LHC:the production of heavy quarkonium hc(hb)associated with photon,and J/ΨW+b associated production from top quark decay.Our results show that:(1)For the production processes of heavy quarkonium hc(hb)associated with photon.Using the NRQCD theory,we give the total cross section and the pT distribution differential cross section of these processes.From the results we can see,the n=1P11 Fock state gives a dominant contribution and the contribution of color octet(CO)is very small.Within the reasonable parameter space,the total cross section of pp→hc+γ process can achieve to 8×104 pb,while the total cross section of pp→hb+γ process can reach 1.5×106 pb.Because the relatively high luminosity of the LHC,these processes could be detected at the LHC.If these processes could be detailedly studied in the experiment,which will provide an important and meaningful experimental platform for us to study NRQCD.(2)For J/ΨW+b associated production from top quark decay at the LHC,we calculated the next-to-leading order(NLO)QCD correction.Our results show that through the NLO QCD correction,the decay width of t→J/Ψ+W++b process relative to the leading-order(LO)decay width is significantly enhanced.This process has great potential for discovery at the LHC.It provides a meaningful signal so that we can study the production of heavy quarkonium associated with W gauge boson from top quark decay.If J/ΨW+b associated production from top quark decay has the potential to be detected at the LHC.It can provides a meaningful signal to study heavy quarkonium production mechanism.Through our research,we find pp→hQ+γ and t→J/Ψ+W++b processes can be detected at the LHC.If someone can observe these experiments at the LHC,then these processes will provide a very meaningful experimental platform for us to study NRQCD.The innovation of our work are listed as follows:(1)We first presented the study about the high excited heavy quarkonium state hQ associated with photon at the LHC,the total cross section and transverse momentum distribution were given,we predicted the production channel may be found at the LHC.The detailed investigate this process,which may provide us the important information about the heavy quarkonium production mechanism.(2)We first presented the NLO QCD correction for t→J/Ψ+W++b process at the LHC.We give the NLO QCD results and analyze various sources of uncertainty for this process,It provides an accurate theoretical support for the future research on the experiment of t→J/ΨW++b process. |