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Title: Constraining the double gluon distribution by the single gluon distribution

We show how to consistently construct initial conditions for the QCD evolution equations for double parton distribution functions in the pure gluon case. We use to momentum sum rule for this purpose and a specific form of the known single gluon distribution function in the MSTW parameterization. The resulting double gluon distribution satisfies exactly the momentum sum rule and is parameter free. Furthermore, we study numerically its evolution with a hard scale and show the approximate factorization into product of two single gluon distributions at small values of x, whereas at large values of x the factorization is always violated in agreement with the sum rule.
Authors:
 [1] ;  [2] ;  [2] ;  [3] ;  [4]
  1. Institute of Nuclear Physics Polish Academy of Sciences, Cracow (Poland); Univ. of Rzeszow, Rzeszow (Poland)
  2. Institute of Nuclear Physics Polish Academy of Sciences, Cracow (Poland)
  3. Pennsylvania State Univ., University Park, PA (United States)
  4. Institute of Nuclear Physics Polish Academy of Sciences, Cracow (Poland); Pennsylvania State Univ., University Park, PA (United States)
Publication Date:
OSTI Identifier:
1223340
Grant/Contract Number:
SC0002145; SC-0002145
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 750; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
quantum chromodynamics; parton distributions; evolution equations; sum rules