Constraining the double gluon distribution by the single gluon distribution

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

doi:10.1016/j.physletb.2015.09.067

Title: Constraining the double gluon distribution by the single gluon distribution

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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. Furthermore, we 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.

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

Publication Date:: Sun Nov 01 00:00:00 EDT 2015

Research Org.:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1223340

Alternate Identifier(s):: OSTI ID: 1241899

Grant/Contract Number:: SC-0002145; SC0002145

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 750 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum chromodynamics; parton distributions; evolution equations; sum rules

Citation Formats


                    Golec-Biernat, Krzysztof, Lewandowska, Emilia, Serino, Mirko, Snyder, Zachary, and Staśto, Anna M. Constraining the double gluon distribution by the single gluon distribution.  Netherlands: N. p., 2015. 
Web.  doi:10.1016/j.physletb.2015.09.067.

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                    Golec-Biernat, Krzysztof, Lewandowska, Emilia, Serino, Mirko, Snyder, Zachary, & Staśto, Anna M. Constraining the double gluon distribution by the single gluon distribution.  Netherlands.  https://doi.org/10.1016/j.physletb.2015.09.067

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                    Golec-Biernat, Krzysztof, Lewandowska, Emilia, Serino, Mirko, Snyder, Zachary, and Staśto, Anna M. Sun .  
"Constraining the double gluon distribution by the single gluon distribution".  Netherlands.  https://doi.org/10.1016/j.physletb.2015.09.067.

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@article{osti_1223340,

  title        = {Constraining the double gluon distribution by the single gluon distribution},

  author       = {Golec-Biernat, Krzysztof and Lewandowska, Emilia and Serino, Mirko and Snyder, Zachary and Staśto, Anna M.},

  abstractNote = {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. Furthermore, we 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.},

  doi          = {10.1016/j.physletb.2015.09.067},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 750,

  place        = {Netherlands},

  year         = {Sun Nov 01 00:00:00 EDT 2015},

  month        = {Sun Nov 01 00:00:00 EDT 2015}

}

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