TY - JOUR

T1 - Constraining the double gluon distribution by the single gluon distribution

AU - Golec-Biernat, Krzysztof

AU - Lewandowska, Emilia

AU - Serino, Mirko

AU - Snyder, Zachary

AU - Staśto, Anna M.

N1 - Funding Information:
This work was supported by the Polish NCN Grants Nos. DEC-2011/01/B/ST2/03915 and DEC-2013/10/E/ST2/00656 , by the Department of Energy Grant No. DE-SC-0002145 , by the Center for Innovation and Transfer of Natural Sciences and Engineering Knowledge in Rzeszów and by the Angelo Della Riccia foundation . MS wishes to thank for hospitality the Penn State University where part of this project was developed. AMS also thanks the Institute for Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the completion of this work.
Publisher Copyright:
© 2015 The Authors.

PY - 2015/11/12

Y1 - 2015/11/12

N2 - 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.

AB - 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.

KW - Evolution equations

KW - Parton distributions

KW - Quantum chromodynamics

KW - Sum rules

UR - http://www.scopus.com/inward/record.url?scp=84943384422&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2015.09.067

DO - 10.1016/j.physletb.2015.09.067

M3 - Article

AN - SCOPUS:84943384422

VL - 750

SP - 559

EP - 564

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -