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 - 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

SN - 0370-2693

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

ER -