Resummation Of Relativistic Corrections To The Process E⁺e^-?J/?+gg

Based on the generalized Gremm-Kapustin relation,this paper calculates the relativistic corrections to all orders in v under the framework of NRQCD theory by using the method of resummation for the production of J/? in the process e+e-? J/?+gg.In addition,this paper adds the calculation to the leading-order and next-to-leading-order as a comparison.Firstly,the method of resummation to all orders is given for the color-singlet production of J/? in this process.Secondly,the differential scattering cross sections to the leading-order,next-to-leading-order and all orders in v after resummation are calculated,the relativistic corrections to the nextto-leading-order and all orders in v after resummation are obtained.Finally,the implications of relativistic corrections to all orders in v on the differential scattering cross sections and angular distribution are discussed.The calculations show that the relativistic corrections to all orders can significantly improve the theoretical prediction to the leading-order and next-to-leading-order especially in the larger region of PJ/?,the ratio factor K between the differential scattering cross sections to all orders after resummation and the leading-order is about 1.24-1.65,the K factor of the relativistic corrections to the next-to-leading-order is about 1.18-1.51.In addition,the calculations of angular parameter show that the angular parameter to the leading-order at the energy endpoint is about-0.87,the angular parameter to the next-to-leading-order is about0.38,the relativistic corrections to the next-to-leading-order have little effect on the angular distribution to the leading-order.The angular parameter to all orders is about+0.36,the behavior at the endpoint is completely different from the leading-order and next-to-leading-order.In the larger region of PJ/? the relativistic corrections to all orders in v after resummation have a great influence on the distribution of angular distribution.