Numerical analysis of the unintegrated double gluon distribution

Edgar Elias, Krzysztof Golec-Biernat, Anna M. Staśto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present detailed numerical analysis of the unintegrated double gluon distribution which includes the dependence on the transverse momenta of partons. The unintegrated double gluon distribution was obtained following the Kimber-Martin-Ryskin method as a convolution of the perturbative gluon splitting function with the collinear integrated double gluon distribution and the Sudakov form factors. We analyze the dependence on the transverse momenta, longitudinal momentum fractions and hard scales. We find that the unintegrated gluon distribution factorizes into a product of two single unintegrated gluon distributions in the region of small values of x, provided the splitting contribution is included and the momentum sum rule is satisfied.

Original languageEnglish (US)
Article number141
JournalJournal of High Energy Physics
Volume2018
Issue number1
DOIs
StatePublished - Jan 1 2018

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numerical analysis
transverse momentum
momentum
convolution integrals
partons
sum rules
form factors
products

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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Numerical analysis of the unintegrated double gluon distribution. / Elias, Edgar; Golec-Biernat, Krzysztof; Staśto, Anna M.

In: Journal of High Energy Physics, Vol. 2018, No. 1, 141, 01.01.2018.

Research output: Contribution to journalArticle

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AB - We present detailed numerical analysis of the unintegrated double gluon distribution which includes the dependence on the transverse momenta of partons. The unintegrated double gluon distribution was obtained following the Kimber-Martin-Ryskin method as a convolution of the perturbative gluon splitting function with the collinear integrated double gluon distribution and the Sudakov form factors. We analyze the dependence on the transverse momenta, longitudinal momentum fractions and hard scales. We find that the unintegrated gluon distribution factorizes into a product of two single unintegrated gluon distributions in the region of small values of x, provided the splitting contribution is included and the momentum sum rule is satisfied.

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