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

Izabela Babiarz (Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, PL-31-342 Kraków, Poland) ; Wolfgang Schäfer (Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, PL-31-342 Kraków, Poland) ; Antoni Szczurek (Faculty of Mathematics and Natural Sciences, University of Rzeszów, ul. Pigonia 1, PL-35-310 Rzeszów, Poland)

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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      "title": "Associated production of <math><msub><mi>\u03c7</mi><mi>c</mi></msub></math> pairs with a gluon in the collinear-factorization approach"
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  "abstracts": [
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      "source": "APS", 
      "value": "We calculate cross section for production of <math><msub><mi>\u03c7</mi><mi>c</mi></msub></math> pairs in proton-proton collisions. The cross section for the <math><mi>g</mi><mi>g</mi><mo>\u2192</mo><msub><mi>\u03c7</mi><mrow><mi>c</mi><msub><mi>J</mi><mn>1</mn></msub></mrow></msub><msub><mi>\u03c7</mi><mrow><mi>c</mi><msub><mi>J</mi><mn>2</mn></msub></mrow></msub></math> is considerably smaller (especially for the <math><msub><mi>\u03c7</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><msub><mi>\u03c7</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub></math> final state) than that obtained recently in the <math><msub><mi>k</mi><mi>T</mi></msub></math>-factorization approach. We calculate therefore next-to-leading order (NLO) contributions with the <math><msub><mi>\u03c7</mi><mi>c</mi></msub></math> pair and one extra associated (mini-)jet. We find these contributions to be much larger than those for the <math><mn>2</mn><mo>\u2192</mo><mn>2</mn></math> 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 <math><msub><mi>k</mi><mi>T</mi></msub></math>-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 <math><msub><mi>\u03c7</mi><mi>c</mi></msub></math> mesons. They do lead, however, to an enhancement of the <math><msub><mi>\u03c7</mi><mi>c</mi></msub></math>-pair production at large rapidity distance between the mesons. Our present study explains the size of the cross section for the <math><msub><mi>\u03c7</mi><mi>c</mi></msub></math>-pair production obtained previously in the <math><msub><mi>k</mi><mi>T</mi></msub></math>-factorization approach. Several differential distributions are presented."
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Published on:
12 April 2019
Publisher:
APS
Published in:
Physical Review D , Volume 99 (2019)
Issue 7
DOI:
https://doi.org/10.1103/PhysRevD.99.074014
arXiv:
1902.08426
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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