Numerical analysis of the unintegrated double gluon distribution

Elias, Edgar; Golec-Biernat, Krzysztof; Staśto, Anna M.

doi:10.1007/jhep01(2018)141

Title: Numerical analysis of the unintegrated double gluon distribution

Abstract

We present detailed numerical analysis of the unintegrated double gluon distribution which includes the dependence on the transverse momenta of partons. The unintegrated double gluon distribution was obtained following the Kimber-Martin-Ryskin method as a convolution of the perturbative gluon splitting function with the collinear integrated double gluon distribution and the Sudakov form factors. We analyze the dependence on the transverse momenta, longitudinal momentum fractions and hard scales. We find that the unintegrated gluon distribution factorizes into a product of two single unintegrated gluon distributions in the region of small values of x, provided the splitting contribution is included and the momentum sum rule is satisfied.

Authors:

Elias, Edgar ^[1]; Golec-Biernat, Krzysztof ^[2]; Staśto, Anna M. ^[1]

Pennsylvania State Univ., University Park, PA (United States). Dept of Physics
Polish Academy of Sciences (PAS), Cracow (Poland). Inst. of Nuclear Physics; Univ. of Rzeszow, Rzeszow (Poland). Faculty of Mathematics and Natural Sciences

Publication Date:: Mon Jan 29 00:00:00 EST 2018

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

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

OSTI Identifier:: 1507000

Grant/Contract Number:: SC0002145; 2015/17/B/ST2/01838

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD Phenomenology

Citation Formats


                    Elias, Edgar, Golec-Biernat, Krzysztof, and Staśto, Anna M. Numerical analysis of the unintegrated double gluon distribution.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep01(2018)141.

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                    Elias, Edgar, Golec-Biernat, Krzysztof, & Staśto, Anna M. Numerical analysis of the unintegrated double gluon distribution.  United States.  https://doi.org/10.1007/jhep01(2018)141

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                    Elias, Edgar, Golec-Biernat, Krzysztof, and Staśto, Anna M. Mon .  
"Numerical analysis of the unintegrated double gluon distribution".  United States.  https://doi.org/10.1007/jhep01(2018)141.  https://www.osti.gov/servlets/purl/1507000.

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@article{osti_1507000,

  title        = {Numerical analysis of the unintegrated double gluon distribution},

  author       = {Elias, Edgar and Golec-Biernat, Krzysztof and Staśto, Anna M.},

  abstractNote = {We present detailed numerical analysis of the unintegrated double gluon distribution which includes the dependence on the transverse momenta of partons. The unintegrated double gluon distribution was obtained following the Kimber-Martin-Ryskin method as a convolution of the perturbative gluon splitting function with the collinear integrated double gluon distribution and the Sudakov form factors. We analyze the dependence on the transverse momenta, longitudinal momentum fractions and hard scales. We find that the unintegrated gluon distribution factorizes into a product of two single unintegrated gluon distributions in the region of small values of x, provided the splitting contribution is included and the momentum sum rule is satisfied.},

  doi          = {10.1007/jhep01(2018)141},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 1,

  volume       = 2018,

  place        = {United States},

  year         = {Mon Jan 29 00:00:00 EST 2018},

  month        = {Mon Jan 29 00:00:00 EST 2018}

}

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Works referenced in this record:

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font-size:0.75rem;"><br/> <span class="type">text</span>, <span class="date" data-date="2015-01-01">January 2015</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Golec-Biernat, Krzysztof; Lewandowska, Emilia; Serino, Mirko</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.1507.08583" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.1507.08583<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.48550/arxiv.1611.02033" target="_blank" rel="noopener noreferrer" class="name">Unintegrated double parton distributions<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">text</span>, <span class="date" data-date="2016-01-01">January 2016</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Golec-Biernat, K.; Stasto, A. 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margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Broniowski, Wojciech; Arriola, Enrique Ruiz</span> </li> <li> Physical Review D, Vol. 101, Issue 1</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/physrevd.101.014019" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/physrevd.101.014019<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/physrevd.99.096021" target="_blank" rel="noopener noreferrer" class="name">Evidence in favor of single parton scattering mechanism in <math display="inline"> <mrow> <mi mathvariant="normal">ϒ</mi> </mrow> </math> and <math display="inline"> <mi>D</mi> </math> associated production at the LHC<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2019-05-01">May 2019</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Karpishkov, A. V.; Nefedov, M. A.; Saleev, V. A.</span> </li> <li> Physical Review D, Vol. 99, Issue 9</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/physrevd.99.096021" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/physrevd.99.096021<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1155/2019/3797394" target="_blank" rel="noopener noreferrer" class="name">Transverse Momentum Dependence in Double Parton Scattering<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2019-03-12">March 2019</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Gaunt, Jonathan R.; Kasemets, Tomas</span> </li> <li> Advances in High Energy Physics, Vol. 2019</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1155/2019/3797394" class="text-muted" target="_blank" rel="noopener noreferrer">10.1155/2019/3797394<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.3204/pubdb-2020-00598" target="_blank" rel="noopener noreferrer" class="name">Sum rule improved double parton distributions in position space<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">text</span>, <span class="date" data-date="2020-01-01">January 2020</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Diehl, Markus; Gaunt, Jonathan R.; Lang, Daniel M.</span> </li> <li> Deutsches Elektronen-Synchrotron, DESY, Hamburg</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.3204/pubdb-2020-00598" class="text-muted" target="_blank" rel="noopener noreferrer">10.3204/pubdb-2020-00598<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.3204/pubdb-2020-02353" target="_blank" rel="noopener noreferrer" class="name">Sum rule improved double parton distributions in position space<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">text</span>, <span class="date" data-date="2020-01-01">January 2020</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Diehl, M.; Gaunt, J. R.; Lang, D. M.</span> </li> <li> Deutsches Elektronen-Synchrotron, DESY, Hamburg</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.3204/pubdb-2020-02353" class="text-muted" target="_blank" rel="noopener noreferrer">10.3204/pubdb-2020-02353<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1140/epjc/s10052-020-8038-z" target="_blank" rel="noopener noreferrer" class="name">Sum rule improved double parton distributions in position space<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2020-05-01">May 2020</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Diehl, M.; Gaunt, J. R.; Lang, D. M.</span> </li> <li> The European Physical Journal C, Vol. 80, Issue 5</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1140/epjc/s10052-020-8038-z" class="text-muted" target="_blank" rel="noopener noreferrer">10.1140/epjc/s10052-020-8038-z<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.48550/arxiv.1812.09099" target="_blank" rel="noopener noreferrer" class="name">Transverse momentum dependence in double parton scattering<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">preprint</span>, <span class="date" data-date="2018-01-01">January 2018</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Gaunt, Jonathan R.; Kasemets, Tomas</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.1812.09099" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.1812.09099<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> </div> <div class="pagination-container small"> <a class="pure-button prev page" href="#" rel="prev"><span class="sr-only">Previous Page</span><span class="fa fa-angle-left"></span></a> <ul class="pagination d-inline-block" style="padding-left:.2em;"></ul> <a class="pure-button next page" href="#" rel="next"><span class="sr-only">Next Page</span><span class="fa fa-angle-right"></span></a> </div> </div> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a href="" class="reference-type-filter tab-nav" data-filter="type" data-pattern=""><span class="fa fa-angle-right"></span> All Cited By</a></li> <li class="small" style="margin-left:.75em; 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margin-top:0px;">Similar Records in DOE PAGES and OSTI.GOV collections:</p> <aside> <ul class="item-list" itemscope itemtype="http://schema.org/ItemList" style="padding-left:0; list-style-type: none;"> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="1" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1592498-use-kmr-unintegrated-parton-distribution-functions" itemprop="url">On the use of the KMR unintegrated parton distribution functions</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Golec-Biernat, Krzysztof</span> ; <span class="author">Staśto, Anna M.</span> <span class="text-muted pubdata"> - Physics Letters B</span> </span> </div> <div class="abstract">We discuss the unintegrated parton distribution functions (UPDFs) introduced by Kimber, Martin and Ryskin (KMR), which are frequently used in phenomenological analyses of hard processes with transverse momenta of partons taken into account. We demonstrate numerically that the commonly used differential definition of the UPDFs leads to erroneous results for large transverse momenta. We identify the reason for that, being the use of the ordinary PDFs instead of the cutoff dependent distribution functions. We show that in phenomenological applications, the integral definition of the UPDFs with the ordinary PDFs can be used.</div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 22<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1016/j.physletb.2018.04.061" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1592498" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1016/j.physletb.2018.04.061</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="2" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1361943-estimating-nonlinear-effects-forward-dijet-production-ultra-peripheral-heavy-ion-collisions-lhc" itemprop="url">Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Kotko, P.</span> ; <span class="author">Kutak, K.</span> ; <span class="author">Sapeta, S.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - European Physical Journal. C, Particles and Fields</span> </span> </div> <div class="abstract">Using the framework that interpolates between the leading power limit of the color glass condensate and the high energy (or k<sub>T</sub> ) factorization we calculate the direct component of the forward dijet production in ultra-peripheral Pb–Pb collisions atCMenergy 5.1 TeV per nucleon pair. The formalism is applicablewhen the average transversemomentum of the dijet system P<sub>T</sub> is much bigger than the saturation scale Q<sub>s</sub> , P<sub>T</sub> >> Qs , while the imbalance of the dijet system can be arbitrary. The cross section is uniquely sensitive to theWeizsäcker–Williams (WW) unintegrated gluon distribution, which is far less known from experimental data than the<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> most common dipole gluon distribution appearing in inclusive small-x processes. We also calculated cross sections and nuclear modification ratios using WW gluon distribution obtained from the dipole gluon density through the Gaussian approximation. The dipole gluon distribution used to get WW was fitted to the inclusive HERA data with the nonlinear extension of unified BFKL+DGLAP evolution equation. The saturation effects are visible but rather weak for realistic p<sub>T</sub> cut on the dijet system, reaching about 20% with the cut as low as 6 GeV. Finally, we find that the LO collinear factorization with nuclear leading-twist shadowing predicts quite similar effects.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 31<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1140/epjc/s10052-017-4906-6" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1361943" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1140/epjc/s10052-017-4906-6</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="3" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/20933237-parton-transverse-momenta-direct-photon-production-hadronic-collisions-high-energies" itemprop="url">Parton transverse momenta and direct photon production in hadronic collisions at high energies</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Pietrycki, T</span> ; <span class="author">Szczurek, A</span> ; <span class="author">Institute of Nuclear Physics, PL-31-342 Cracow</span> <span class="text-muted pubdata"> - Physical Review. D, Particles Fields</span> </span> </div> <div class="abstract">The invariant cross sections for direct photon production in hadron-hadron collisions are calculated for several initial energies (SPS, ISR, SppS, RHIC, Tevatron, LHC) including initial parton transverse momenta within the formalism of unintegrated parton distributions (UPDF). Different approaches from the literature are compared and discussed. A special emphasis is put on the Kimber-Martin-Ryskin (KMR) distributions and their extension into the soft region. Sum rules for UPDFs are formulated and discussed in detail. We find a violation of naive number sum rules for the KMR UPDFs. An interesting interplay of perturbative (large k{sub t}{sup 2}) and nonperturbative (small k{sub t}{sup 2})<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> regions of UPDFs in the production of both soft and hard photons is identified. The k{sub t}-factorization approach with the KMR UPDFs is inconsistent with the collinear approach at large transverse momenta of photons. Kwiecinski UPDFs provide very good description of all world data, especially at super proton synchrotron (SPS) and intersecting storage rings (ISR) energies. Off-shell effects are discussed and quantified. Predictions for the CERN LHC are given. Very forward/backward regions in rapidity at LHC energy are discussed and a possibility to test unintegrated gluon distributions (UGDF) is presented.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1103/PHYSREVD.75.014023" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="20933237" data-product-type="Journal Article" data-product-subtype="" >https://doi.org/10.1103/PHYSREVD.75.014023</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="4" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/21250231-production-electroweak-gauge-bosons-off-shell-gluon-gluon-fusion" itemprop="url">Production of electroweak gauge bosons in off-shell gluon-gluon fusion</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Baranov, S P</span> ; <span class="author">Lipatov, A V</span> ; <span class="author">Zotov, N P</span> <span class="text-muted pubdata"> - Physical Review. D, Particles Fields</span> </span> </div> <div class="abstract">We study the production of electroweak gauge bosons at high energies in the framework of k{sub T}-factorization QCD approach. The amplitude for production of a single W{sup {+-}} or Z{sup 0} boson associated with quark pair in the fusion of two off-shell gluons is calculated. Contributions from the valence quarks are calculated using the quark-gluon interaction and quark-antiquark annihilation QCD subprocesses. The total and differential cross sections (as a function of the transverse momentum and rapidity) are presented and the ratio of cross sections for W{sup {+-}} and Z{sup 0} boson production is investigated. The conservative error analysis is performed.<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> In the numerical calculations two different sets of unintegrated gluon distributions in the proton are used: the one obtained from the Ciafaloni-Catani-Fiorani-Marchesini evolution equation and the other from the Kimber-Martin-Ryskin prescription. Theoretical results are compared with experimental data taken by the D0 and CDF collaborations at the Tevatron. We demonstrate the importance of the quark component in parton evolution in description of the experimental data. This component is very significant also at the LHC energies.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1103/PHYSREVD.78.014025" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="21250231" data-product-type="Journal Article" data-product-subtype="" >https://doi.org/10.1103/PHYSREVD.78.014025</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="6" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1619346-taming-preasymptotic-small-evolution-within-resummation-framework" itemprop="url">Taming of preasymptotic small x evolution within resummation framework</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Deak, Michal</span> ; <span class="author">Frankfurt, Leonid</span> ; <span class="author">Staśto, Anna M.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - European Physical Journal. C, Particles and Fields</span> </span> </div> <div class="abstract">It is well understood that the leading logarithmic approximation for the amplitudes of high energy processes is insufficient and that the next-to-leading logarithmic effects are very large and lead to instability of the solution. The resummation at low x, which includes kinematical constraints and other corrections leads to stable result. Using previously established resummation procedure we study in detail the preasymptotic effects which occur in the solution to the resummed BFKL equation when the energy is not very large. We find that in addition to the well known reduction of the intercept, which governs the energy dependence of the gluon<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> Green's function, resummation leads to the delay of the onset of its small x growth. Moreover the gluon Green's function develops a dip or a plateau in wide range of rapidities, which increases for large scales. The preasymptotic region in the gluon Green's function extends to about 8 units in rapidity for the transverse scales of the order of 30-100 GeV. To visualize the expected behavior of physical processes with two equal hard scales we calculate the cross section of the process γ+γ→X to be probed at future very high-energy electron-positron colliders. We find that at γγ energies below 100 GeV the BFKL Pomeron leads to smaller value of the cross section than the Born approximation, and only starts to dominate at energies about 100 GeV. This pattern is significantly different from the one which we find using LLx approximation. We also analyze the transverse momentum contributions to the cross section for different virtualities of the photons and find that the dominant contributions to the integral over the transverse momenta comes from lower values than the the external scales in the process under consideration.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 2<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1140/epjc/s10052-020-7861-6" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1619346" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1140/epjc/s10052-020-7861-6</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> </ul> </aside> </div> </section> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a class="tab-nav disabled" data-tab="related" style="color: #636c72 !important; 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Title: Numerical analysis of the unintegrated double gluon distribution

Abstract

Citation Formats

pQCD physics of multiparton interactions journal, April 2012

Fully unintegrated parton correlation functions and factorization in lowest-order hard scattering journal, April 2008

Transverse momentum in double parton scattering: factorisation, evolution and matching journal, January 2018

Exclusive production of double J / ψ mesons in hadronic collisions journal, February 2015

Constraining the double gluon distribution by the single gluon distribution journal, November 2015

Equations for many-parton distributions in quantum chromodynamics journal, June 1982

pQCD physics of multiparton interactions
journal, April 2012

Fully unintegrated parton correlation functions and factorization in lowest-order hard scattering
journal, April 2008

Transverse momentum in double parton scattering: factorisation, evolution and matching
journal, January 2018

Exclusive production of double J / ψ mesons in hadronic collisions
journal, February 2015

Constraining the double gluon distribution by the single gluon distribution
journal, November 2015

Equations for many-parton distributions in quantum chromodynamics
journal, June 1982