Constraining the double gluon distribution by the single gluon distribution

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

doi:10.1016/j.physletb.2015.09.067

Constraining the double gluon distribution by the single gluon distribution

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

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	559-564
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	750
DOIs	https://doi.org/10.1016/j.physletb.2015.09.067
State	Published - 12 Nov 2015
Externally published	Yes

Keywords

Evolution equations
Parton distributions
Quantum chromodynamics
Sum rules

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2015.09.067

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title = "Constraining the double gluon distribution by the single gluon distribution",

abstract = "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.",

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AU - Golec-Biernat, Krzysztof

AU - Lewandowska, Emilia

AU - Serino, Mirko

AU - Snyder, Zachary

AU - Staśto, Anna M.

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

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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 -

Constraining the double gluon distribution by the single gluon distribution

Abstract

Keywords

ASJC Scopus subject areas

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