Constraining the double gluon distribution by the single gluon distribution

Journal Article · Sun Nov 01 00:00:00 EDT 2015 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2015.09.067· OSTI ID:1223340

Golec-Biernat, Krzysztof; Lewandowska, Emilia; Serino, Mirko; Snyder, Zachary; Staśto, Anna M.

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.

• Research Organization: Pennsylvania State Univ., University Park, PA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC-0002145; SC0002145
• OSTI ID: 1223340
• Alternate ID(s): OSTI ID: 1241899
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 750 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
quantum chromodynamics
parton distributions
evolution equations
sum rules