Constraining the double gluon distribution by the single gluon distribution

Physics Letters B

Mirko Serino¹  Anna M. Staśto¹  Emilia Lewandowska¹  Krzysztof Golec-Biernat¹  Zachary Snyder² 

[1] Institute of Nuclear Physics Polish Academy of Sciences, 31-342 Cracow, Poland;Penn State University, University Park, PA 16802, United States;

关键词: Quantum chromodynamics;    Parton distributions;    Evolution equations;    Sum rules;   

DOI  :  10.1016/j.physletb.2015.09.067

来源: DOAJ

【 摘 要 】

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. We also 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.

【 授权许可】

Unknown