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Associated production of χc pairs with a gluon in the collinear-factorization approach

Izabela Babiarz1,*, Wolfgang Schäfer1,†, and Antoni Szczurek2,‡

  • 1Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, PL-31-342 Kraków, Poland
  • 2Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Pigonia 1, PL-35-310 Rzeszów, Poland

  • *izabela.babiarz@ifj.edu.pl.pl
  • Wolfgang.Schafer@ifj.edu.pl
  • antoni.szczurek@ifj.edu.pl

Phys. Rev. D 99, 074014 – Published 12 April, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.074014

Abstract

We calculate cross section for production of χc pairs in proton-proton collisions. The cross section for the ggχcJ1χcJ2 is considerably smaller (especially for the χc1χc1 final state) than that obtained recently in the kT-factorization approach. We calculate therefore next-to-leading order (NLO) contributions with the χc pair and one extra associated (mini-)jet. We find these contributions to be much larger than those for the 22 contribution. Especially the emission of a leading gluon (carrying a large momentum fraction of one of the incoming gluons) is important. These emissions in the kT-factorization approach are absorbed into the initial state unintegrated gluon distributions. A smaller contribution to the cross section comes from the production of central gluons emitted with rapidities between the χc mesons. They do lead, however, to an enhancement of the χc-pair production at large rapidity distance between the mesons. Our present study explains the size of the cross section for the χc-pair production obtained previously in the kT-factorization approach. Several differential distributions are presented.

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