Next-to-next-to-leading-order QCD corrections to double J/ψ production at the B factories

Abstract

In this paper, we study the next-to-next-to-leading-order (NNLO) QCD corrections for the process e+e− → J/ψ + J/ψ at the B factories. By including the NNLO corrections, the cross section turns negative due to the poor convergence of perturbative expansion. Consequently, to obtain a reasonable estimation for the cross section, the square of the amplitude up to NNLO is used. In addition, the contributions from the bottom quark and the light-by-light part, which are usually neglected, are also included. The final cross section is obtained as $$ {1.76}_{-1.66}^{+2.42} $$ 1.76 − 1.66 + 2.42 fb at a center-of-mass energy of $$ \sqrt{s} $$ s = 10.58 GeV. Our result for total cross section and differential cross section could be compared with precise experimental measurement in future at the B factories.

Next-to-leading-order relativistic and QCD corrections to prompt pair photoproduction at future colliders*

“…pair production by annihilation was investigated by several groups [25−31], even through next-to-next-to-leading order in the strong-coupling constant [32,33].…”