Relativistic Corrections To H_c Production In Electron-positron Scattering Processes

Under the theoretical framework of the non-relativistic quantum chromodynamic factorization scheme(NRQCD),this paper discusses the inclusive process of the P-wave excited charm quark element particles in the process of h,electron-positive electron collision,based with the relativistic correction to the the leading order process ·Under the NRQCD framework,in the inclusive process in the process of position and electron annihilation include three reaction channels:e+e-?c(?)(1p1[1])+g+g,e+e-?c(?)(1p1[1])+c+c e+e-?c(?)(1S0[8])+g at the quark level and The leading-order scattering cross-section of the first reaction channel(O(?2?2sv2))results in infrared divergence in the phase space region of the final soft gluon,and the matrix element operator is evolved to the next order by the perturbative NRQCD calculation.After adding the reaction channel contribution,the infrared limited cross-section result can be obtained.Based on the lead calculations in the literature[Phys.Rev.D86,074012 and Phys.Rev.D86,074023],this paper focuses on the problem of infrared divergence after the revision of relativity.In this paper,the phase space two cut off method is used to separate the infrared divergence factor of the first reaction channel,the matrix element operator evolves to the order,and the relativistic correction of the short-distance coefficient of the reaction channel is considered.The divergence is completely canceled,which also confirms that the NRQCD factorization is established at this order.