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 -