Complete Nonrelativistic-QCD Prediction for Prompt Double J/ψ Hadroproduction

We perform a complete study of prompt double J/ψ hadroproduction at leading order in the nonrelativistic-QCD factorization framework by including all possible pairings of the cc̅ Fock states (1)S(0)([8]), (3)S(1)([1,8]), and (3)P(J)([1,8]) with J=0,1,2. We find that the (1)S(0)([8]) and (3)P(J)([8]) channels of J/ψ and ψ'} production and the (3)P(J)([1]) and (3)S(1)([8]) channels of χ(cJ) production, which have been overlooked so far, greatly dominate at large invariant masses and rapidity separations of the J/ψ pair, and that their inclusion nearly fills the large gap between previous incomplete predictions within the color-singlet model and the recent measurement by the CMS Collaboration at the CERN LHC, leaving room for next-to-leading-order corrections of typical size.