Abstract
The double quarkonium production in single and double diffractive processes is investigated considering $pp$ collisions at the Run 2 LHC energy. Using the nonrelativistic QCD (NRQCD) factorization formalism for the quarkonium production and the Resolved Pomeron model to describe the diffractive processes, we estimate the rapidity and transverse momentum dependencies of the cross sections for the $J/\Psi J/\Psi$ and $\Upsilon \Upsilon$ production. The contributions of the color-singlet and color-octet channels are estimated and predictions for the total cross sections in the kinematical regions of the LHC experiments are also presented. Our results demonstrate that the double quarkonium production in diffractive processes is not negligible and that its study can be useful to test the underlying assumptions present in the description of the single and double diffractive processes.
Highlights
The study of hadronic collisions at the LHC provides a unique environment for precise measurements of poorly understood phenomena
The experimental analysis of the double quarkonium production has become a reality during the last years
These results have attracted renewed attention to the theoretical description of this process, which is expected to provide important insights that will allow us to improve our understanding of the hadron structure and the production mechanism
Summary
The study of hadronic collisions at the LHC provides a unique environment for precise measurements of poorly understood phenomena. One of the possible frameworks is the nonrelativistic QCD (NRQCD) formalism [3], which is a nonrelativistic effective theory equivalent to QCD, which considers that the heavy quarkonium cross section receives contributions of the color-singlet and color-octet mechanisms. In this formalism, the cross section for the production σðab of →.
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