Abstract
We numerically investigate the impact of scale evolution on double parton distributions, which are needed to compute multiple hard scattering processes. Assuming correlations between longitudinal and transverse variables or between the parton spins to be present at a low scale, we study how they are affected by evolution to higher scales, i.e. by repeated parton emission. We find that generically evolution tends to wash out correlations, but with a speed that may be slow or fast depending on kinematics and on the type of correlation. Nontrivial parton correlations may hence persist in double parton distributions at the high scales relevant for hard scattering processes.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. Bartalini et al., Multi-parton interactions at the LHC, arXiv:1111.0469 [INSPIRE].
S. Plätzer and M. Diehl, Proceedings MPI@LHC 2011, DESY-PROC-2012-03 (2012).
H. Abramowicz et al., Summary of the Workshop on Multi-Parton Interactions (MPI@LHC 2012), arXiv:1306.5413 [INSPIRE].
R. Kirschner, Generalized Lipatov-Altarelli-Parisi equations and jet calculus rules, Phys. Lett. B 84 (1979) 266 [INSPIRE].
V. Shelest, A. Snigirev and G.M. Zinovev, The multiparton distribution equations in QCD, Phys. Lett. B 113 (1982) 325 [INSPIRE].
A.M. Snigirev, Double parton distributions in the leading logarithm approximation of perturbative QCD, Phys. Rev. D 68 (2003) 114012 [hep-ph/0304172] [INSPIRE].
J.R. Gaunt and W.J. Stirling, Double parton distributions incorporating perturbative QCD evolution and momentum and quark number sum rules, JHEP 03 (2010) 005 [arXiv:0910.4347] [INSPIRE].
F.A. Ceccopieri, An update on the evolution of double parton distributions, Phys. Lett. B 697 (2011) 482 [arXiv:1011.6586] [INSPIRE].
J.R. Gaunt and W.J. Stirling, Double parton scattering singularity in one-loop integrals, JHEP 06 (2011) 048 [arXiv:1103.1888] [INSPIRE].
J.R. Gaunt, Single perturbative splitting diagrams in double parton scattering, JHEP 01 (2013) 042 [arXiv:1207.0480] [INSPIRE].
M. Diehl and A. Schäfer, Theoretical considerations on multiparton interactions in QCD, Phys. Lett. B 698 (2011) 389 [arXiv:1102.3081] [INSPIRE].
M. Diehl, D. Ostermeier and A. Schafer, Elements of a theory for multiparton interactions in QCD, JHEP 03 (2012) 089 [arXiv:1111.0910] [INSPIRE].
M.G. Ryskin and A.M. Snigirev, A fresh look at double parton scattering, Phys. Rev. D 83 (2011) 114047 [arXiv:1103.3495] [INSPIRE].
A.V. Manohar and W.J. Waalewijn, What is Double Parton Scattering?, Phys. Lett. B 713 (2012) 196 [arXiv:1202.5034] [INSPIRE].
B. Blok, Y. Dokshitser, L. Frankfurt and M. Strikman, pQCD physics of multiparton interactions, Eur. Phys. J. C 72 (2012) 1963 [arXiv:1106.5533] [INSPIRE].
B. Blok, Y. Dokshitzer, L. Frankfurt and M. Strikman, Perturbative QCD correlations in multi-parton collisions, arXiv:1306.3763 [INSPIRE].
M. Diehl, Correlation effects in multiple hard scattering, PoS(DIS 2013)074 [arXiv:1306.6480] [INSPIRE].
M. Mekhfi, Multiparton processes: an application to double Drell-Yan, Phys. Rev. D 32 (1985) 2371 [INSPIRE].
M. Mekhfi, Correlations in color and spin in multiparton processes, Phys. Rev. D 32 (1985) 2380 [INSPIRE].
H.-M. Chang, A.V. Manohar and W.J. Waalewijn, Double parton correlations in the bag model, Phys. Rev. D 87 (2013) 034009 [arXiv:1211.3132] [INSPIRE].
A.V. Manohar and W.J. Waalewijn, A QCD analysis of double parton scattering: color correlations, interference effects and evolution, Phys. Rev. D 85 (2012) 114009 [arXiv:1202.3794] [INSPIRE].
T. Kasemets, Double parton scattering — A tale of two partons, DESY-THESIS-2013-035 (2013).
M. Diehl and T. Kasemets, Positivity bounds on double parton distributions, JHEP 05 (2013) 150 [arXiv:1303.0842] [INSPIRE].
T. Kasemets and M. Diehl, Angular correlations in the double Drell-Yan process, JHEP 01 (2013) 121 [arXiv:1210.5434] [INSPIRE].
C. Bourrely, J. Soffer, F.M. Renard and P. Taxil, Spin effects at supercollider energies, Phys. Rept. 177 (1989) 319 [INSPIRE].
R.L. Jaffe and N. Saito, QCD selection rules in polarized hadron collisions, Phys. Lett. B 382 (1996) 165 [hep-ph/9604220] [INSPIRE].
D. Boer, P.J. Mulders and C. Pisano, Dijet imbalance in hadronic collisions, Phys. Rev. D 80 (2009) 094017 [arXiv:0909.4652] [INSPIRE].
D. Boer, S.J. Brodsky, P.J. Mulders and C. Pisano, Direct probes of linearly polarized gluons inside unpolarized hadrons, Phys. Rev. Lett. 106 (2011) 132001 [arXiv:1011.4225] [INSPIRE].
J.-W. Qiu, M. Schlegel and W. Vogelsang, Probing gluonic spin-orbit correlations in photon pair production, Phys. Rev. Lett. 107 (2011) 062001 [arXiv:1103.3861] [INSPIRE].
W. Vogelsang, Q 2 evolution of spin dependent parton densities, Acta Phys. Polon. B 29 (1998) 1189 [hep-ph/9805295] [INSPIRE].
J. Gaunt, Double parton scattering in proton-proton collisions, Ph.D. Thesis, University of Cambridge, Cambridge U.K. (2012).
R.K. Ellis, W.J. Stirling and B.R. Webber, QCD and collider physics, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 8 (1996) 1 [INSPIRE].
A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
M. Diehl, T. Feldmann, R. Jakob and P. Kroll, Generalized parton distributions from nucleon form-factor data, Eur. Phys. J. C 39 (2005) 1 [hep-ph/0408173] [INSPIRE].
M. Diehl and W. Kugler, Some numerical studies of the evolution of generalized parton distributions, Phys. Lett. B 660 (2008) 202 [arXiv:0711.2184] [INSPIRE].
H1 collaboration, A. Aktas et al., Elastic J/ψ production at HERA, Eur. Phys. J. C 46 (2006) 585 [hep-ex/0510016] [INSPIRE].
H1 collaboration, F. Aaron et al., Measurement of deeply virtual Compton scattering and its t-dependence at HERA, Phys. Lett. B 659 (2008) 796 [arXiv:0709.4114] [INSPIRE].
M. Botje, QCDNUM: fast QCD evolution and convolution, Comput. Phys. Commun. 182 (2011) 490 [arXiv:1005.1481] [INSPIRE].
M. Glück, P. Jimenez-Delgado and E. Reya, Dynamical parton distributions of the nucleon and very small-x physics, Eur. Phys. J. C 53 (2008) 355 [arXiv:0709.0614] [INSPIRE].
M. Rinaldi, S. Scopetta and V. Vento, Double parton correlations in constituent quark models, Phys. Rev. D 87 (2013) 114021 [arXiv:1302.6462] [INSPIRE].
W. Broniowski and E.R. Arriola, Valence double parton distributions of the nucleon in a simple model, arXiv:1310.8419 [INSPIRE].
B. Blok, Y. Dokshitzer, L. Frankfurt and M. Strikman, The four jet production at LHC and Tevatron in QCD, Phys. Rev. D 83 (2011) 071501 [arXiv:1009.2714] [INSPIRE].
S. Alekhin, Parton distributions from deep inelastic scattering data, Phys. Rev. D 68 (2003) 014002 [hep-ph/0211096] [INSPIRE].
J. Pumplin et al., New generation of parton distributions with uncertainties from global QCD analysis, JHEP 07 (2002) 012 [hep-ph/0201195] [INSPIRE].
A. Sherstnev and R. Thorne, Different PDF approximations useful for LO Monte Carlo generators, arXiv:0807.2132 [INSPIRE].
NNPDF collaboration, R.D. Ball et al., Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO, Nucl. Phys. B 855 (2012) 153 [arXiv:1107.2652] [INSPIRE].
H.-L. Lai et al., Parton distributions for event generators, JHEP 04 (2010) 035 [arXiv:0910.4183] [INSPIRE].
H1 and ZEUS collaborations, HERAPDF1.5LO PDF set with experimental uncertainties, H1PRELIM-13-141 (2013) [ZEUS-PREL-13-003].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1401.1233
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Diehl, M., Kasemets, T. & Keane, S. Correlations in double parton distributions: effects of evolution. J. High Energ. Phys. 2014, 118 (2014). https://doi.org/10.1007/JHEP05(2014)118
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2014)118