Confronting the impact parameter dependent JIMWLK evolution with HERA data
Abstract
The small-x evolution of protons is determined from numerical solutions of the JIMWLK equations, starting from an initial condition at moderate x for a finite size proton. The resulting dipole amplitude is used to calculate the total reduced cross section σr and charm reduced cross section σrc, as well as diffractive vector meson production. We compare results to experimental data from HERA and discuss fundamental problems arising from the regime sensitive to non-perturbative physics. We emphasize that information on the gluonic content of the proton, gluon spatial distributions and correlations over wide ranges in x, which can in principle be constrained by our study, are essential ingredients for describing the initial state in proton-proton and proton-ion collisions. Future electron nucleus collisions at an electron-ion collider will provide important additional insight for heavier nuclei. As a result, we further demonstrate that it is not possible to probe gluon saturation in electron-proton collision at HERA energies and that electron-heavy ion collisions will be essential to access the saturation regime.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Under Secretary for Science and Energy (S-4)
- OSTI Identifier:
- 1464581
- Alternate Identifier(s):
- OSTI ID: 1471187
- Report Number(s):
- BNL-209041-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 034013
- Grant/Contract Number:
- AC02-05CH11231; SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Mäntysaari, Heikki, and Schenke, Björn. Confronting the impact parameter dependent JIMWLK evolution with HERA data. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.034013.
Mäntysaari, Heikki, & Schenke, Björn. Confronting the impact parameter dependent JIMWLK evolution with HERA data. United States. https://doi.org/10.1103/PhysRevD.98.034013
Mäntysaari, Heikki, and Schenke, Björn. Tue .
"Confronting the impact parameter dependent JIMWLK evolution with HERA data". United States. https://doi.org/10.1103/PhysRevD.98.034013.
@article{osti_1464581,
title = {Confronting the impact parameter dependent JIMWLK evolution with HERA data},
author = {Mäntysaari, Heikki and Schenke, Björn},
abstractNote = {The small-x evolution of protons is determined from numerical solutions of the JIMWLK equations, starting from an initial condition at moderate x for a finite size proton. The resulting dipole amplitude is used to calculate the total reduced cross section σr and charm reduced cross section σrc, as well as diffractive vector meson production. We compare results to experimental data from HERA and discuss fundamental problems arising from the regime sensitive to non-perturbative physics. We emphasize that information on the gluonic content of the proton, gluon spatial distributions and correlations over wide ranges in x, which can in principle be constrained by our study, are essential ingredients for describing the initial state in proton-proton and proton-ion collisions. Future electron nucleus collisions at an electron-ion collider will provide important additional insight for heavier nuclei. As a result, we further demonstrate that it is not possible to probe gluon saturation in electron-proton collision at HERA energies and that electron-heavy ion collisions will be essential to access the saturation regime.},
doi = {10.1103/PhysRevD.98.034013},
journal = {Physical Review D},
number = 3,
volume = 98,
place = {United States},
year = {Tue Aug 14 00:00:00 EDT 2018},
month = {Tue Aug 14 00:00:00 EDT 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.98.034013
https://doi.org/10.1103/PhysRevD.98.034013
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 47 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Incoherent diffractive production in high-energy nuclear deep-inelastic scattering
journal, June 2011
- Lappi, T.; Mäntysaari, H.
- Physical Review C, Vol. 83, Issue 6
Impact-parameter dependent color glass condensate dipole model and new combined HERA data
journal, October 2013
- Rezaeian, Amir H.; Schmidt, Ivan
- Physical Review D, Vol. 88, Issue 7
Solving the high energy evolution equation including running coupling corrections
journal, June 2007
- Albacete, Javier L.; Kovchegov, Yuri V.
- Physical Review D, Vol. 75, Issue 12
Dipole factorization for DIS at NLO: Combining the and contributions
journal, October 2017
- Beuf, Guillaume
- Physical Review D, Vol. 96, Issue 7
Systematics of strong nuclear amplification of gluon saturation from exclusive vector meson production in high energy electron–nucleus collisions
journal, June 2018
- Mäntysaari, Heikki; Venugopalan, Raju
- Physics Letters B, Vol. 781
The Color Glass Condensate
journal, November 2010
- Gelis, Francois; Iancu, Edmond; Jalilian-Marian, Jamal
- Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1
Off-diagonal distributions fixed by diagonal partons at small x and
journal, June 1999
- Shuvaev, A. G.; Golec-Biernat, K. J.; Martin, A. D.
- Physical Review D, Vol. 60, Issue 1
Subleading- corrections in non-linear small-x evolution
journal, May 2009
- Kovchegov, Yuri V.; Kuokkanen, Janne; Rummukainen, Kari
- Nuclear Physics A, Vol. 823, Issue 1-4
Evidence for color fluctuations in hadrons from coherent nuclear diffraction
journal, November 1993
- Frankfurt, L.; Miller, G. A.; Strikman, M.
- Physical Review Letters, Vol. 71, Issue 18
Operator expansion for high-energy scattering
journal, March 1996
- Balitsky, I.
- Nuclear Physics B, Vol. 463, Issue 1
Wilson renormalization group for low x physics: Towards the high density regime
journal, November 1998
- Jalilian-Marian, Jamal; Kovner, Alex; Leonidov, Andrei
- Physical Review D, Vol. 59, Issue 1
Initial conditions for dipole evolution beyond the McLerran–Venugopalan model
journal, April 2012
- Dumitru, Adrian; Petreska, Elena
- Nuclear Physics A, Vol. 879
Open heavy flavour production: conceptual framework and implementation issues
journal, April 2002
- Tung, Wu-Ki; Kretzer, Stefan; Schmidt, Carl
- Journal of Physics G: Nuclear and Particle Physics, Vol. 28, Issue 5
Effect of off-diagonal parton distributions in diffractive vector meson electroproduction
journal, June 1998
- Martin, A. D.; Ryskin, M. G.
- Physical Review D, Vol. 57, Issue 11
Probing the Small- Gluon Tomography in Correlated Hard Diffractive Dijet Production in Deep Inelastic Scattering
journal, May 2016
- Hatta, Yoshitaka; Xiao, Bo-Wen; Yuan, Feng
- Physical Review Letters, Vol. 116, Issue 20
Resummation of double collinear logs in BK evolution versus HERA data
journal, January 2017
- Albacete, Javier L.
- Nuclear Physics A, Vol. 957
Measurement of diffractive photoproduction of vector mesons at large momentum transfer at HERA
journal, January 2000
- Breitweg et al., J.
- The European Physical Journal C, Vol. 14, Issue 2
Revealing proton shape fluctuations with incoherent diffraction at high energy
journal, August 2016
- Mäntysaari, Heikki; Schenke, Björn
- Physical Review D, Vol. 94, Issue 3
Boost covariant gluon distributions in large nuclei
journal, April 1998
- McLerran, Larry; Venugopalan, Raju
- Physics Letters B, Vol. 424, Issue 1-2
HERA-data in the light of small x evolution with state of the art NLO input
journal, February 2012
- Kuokkanen, Janne; Rummukainen, Kari; Weigert, Heribert
- Nuclear Physics A, Vol. 875
Collinearly-improved BK evolution meets the HERA data
journal, November 2015
- Iancu, E.; Madrigal, J. D.; Mueller, A. H.
- Physics Letters B, Vol. 750
Imprints of fluctuating proton shapes on flow in proton-lead collisions at the LHC
journal, September 2017
- Mäntysaari, Heikki; Schenke, Björn; Shen, Chun
- Physics Letters B, Vol. 772
Phenomenological Predictions for Deep-Inelastic Electron Scattering
journal, March 1971
- Ritson, D. M.
- Physical Review D, Vol. 3, Issue 5
Multiplicity distributions in , , and collisions from Yang-Mills dynamics
journal, February 2014
- Schenke, Björn; Tribedy, Prithwish; Venugopalan, Raju
- Physical Review C, Vol. 89, Issue 2
Deep inelastic scattering in the dipole picture at next-to-leading order
journal, November 2017
- Ducloué, B.; Hänninen, H.; Lappi, T.
- Physical Review D, Vol. 96, Issue 9
Exclusive J /ψ and ψ(2 S ) production in pp collisions at $\protect \sqrt{s} = 7$ TeV
journal, February 2013
- Aaij, R.; Beteta, C. Abellan; Adametz, A.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 4
Unitarity and the BFKL pomeron
journal, March 1995
- Mueller, A. H.
- Nuclear Physics B, Vol. 437, Issue 1
Impact parameter dependence in the Balitsky–Kovchegov equation
journal, July 2005
- Ikeda, Takashi; McLerran, Larry
- Nuclear Physics A, Vol. 756, Issue 3-4
Saturation and universality in QCD at small x
journal, June 2001
- Iancu, Edmond; McLerran, Larry
- Physics Letters B, Vol. 510, Issue 1-4
Universal features of JIMWLK and BK evolution at small x
journal, July 2004
- Rummukainen, Kari; Weigert, Heribert
- Nuclear Physics A, Vol. 739, Issue 1-2
Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations
journal, December 2015
- Abramowicz, H.; Abt, I.; Adamczyk, L.
- The European Physical Journal C, Vol. 75, Issue 12
The BFKL equation from the Wilson renormalization group
journal, October 1997
- Jalilian-Marian, Jamal; Kovner, Alex; Leonidov, Andrei
- Nuclear Physics B, Vol. 504, Issue 1-2
On solutions of the Balitsky–Kovchegov equation with impact parameter
journal, September 2003
- Golec-Biernat, K.; Staśto, A. M.
- Nuclear Physics B, Vol. 668, Issue 1-2
The shape of the proton at high energies
journal, December 2014
- Schlichting, Sören; Schenke, Björn
- Physics Letters B, Vol. 739
Generalized vector dominance and inelastic electron-proton scattering
journal, June 1972
- Sakurai, J. J.; Schildknecht, D.
- Physics Letters B, Vol. 40, Issue 1
Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
journal, April 2008
- Lappi, T.
- The European Physical Journal C, Vol. 55, Issue 2
3D glasma initial state for relativistic heavy ion collisions
journal, October 2016
- Schenke, Björn; Schlichting, Sören
- Physical Review C, Vol. 94, Issue 4
Exclusive Photoproduction off Protons in Ultraperipheral -Pb Collisions at
journal, December 2014
- Abelev, B.; Adam, J.; Adamová, D.
- Physical Review Letters, Vol. 113, Issue 23
On the running coupling in the JIMWLK equation
journal, February 2013
- Lappi, T.; Mäntysaari, H.
- The European Physical Journal C, Vol. 73, Issue 2
Diffraction scattering and the parton structure of hadrons
journal, September 1978
- Miettinen, Hannu I.; Pumplin, Jon
- Physical Review D, Vol. 18, Issue 5
Exclusive photoproduction of $J/\psi$ mesons at HERA
journal, July 2002
- Chekanov et al., S.
- The European Physical Journal C, Vol. 24, Issue 3
Quantum Chromodynamics at High Energy
book, September 2012
- Kovchegov, Yuri V.; Levin, Eugene
- Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology
Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach
journal, June 2017
- Chen, Guangyao; Li, Yang; Maris, Pieter
- Physics Letters B, Vol. 769
Numerical solution of the nonlinear evolution equation at small with impact parameter and beyond the leading logarithmic approximation
journal, February 2011
- Berger, Jeffrey; Staśto, Anna M.
- Physical Review D, Vol. 83, Issue 3
The Balitsky–Kovchegov equation in full momentum space
journal, October 2005
- Marquet, C.; Soyez, G.
- Nuclear Physics A, Vol. 760, Issue 1-2
The renormalization group equation for the color glass condensate
journal, June 2001
- Iancu, Edmond; Leonidov, Andrei; McLerran, Larry
- Physics Letters B, Vol. 510, Issue 1-4
Unitarity at small Bjorken x
journal, June 2002
- Weigert, Heribert
- Nuclear Physics A, Vol. 703, Issue 3-4
Combined measurement and QCD analysis of the inclusive e ± p scattering cross sections at HERA
journal, January 2010
- Aaron, F. D.; Abramowicz, H.; Abt, I.
- Journal of High Energy Physics, Vol. 2010, Issue 1
Combination and QCD analysis of charm and beauty production cross-section measurements in deep inelastic ep scattering at HERA
journal, June 2018
- Abramowicz, H.; Abt, I.; Adamczyk, L.
- The European Physical Journal C, Vol. 78, Issue 6
Nonlinear QCD evolution: Saturation without unitarization
journal, September 2002
- Kovner, Alexander; Wiedemann, Urs Achim
- Physical Review D, Vol. 66, Issue 5
Photon-Nucleus Total Cross Sections
journal, June 1969
- Brodsky, Stanley J.; Pumplin, Jon
- Physical Review, Vol. 182, Issue 5
Impact parameter dipole saturation model
journal, December 2003
- Kowalski, Henri; Teaney, Derek
- Physical Review D, Vol. 68, Issue 11
Single inclusive particle production at high energy from HERA data to proton-nucleus collisions
journal, December 2013
- Lappi, T.; Mäntysaari, H.
- Physical Review D, Vol. 88, Issue 11
Diffractive photoproduction of J/ψ mesons with large momentum transfer at HERA
journal, August 2003
- Aktas, A.; Andreev, V.; Anthonis, T.
- Physics Letters B, Vol. 568, Issue 3-4
Evidence of Strong Proton Shape Fluctuations from Incoherent Diffraction
journal, July 2016
- Mäntysaari, Heikki; Schenke, Björn
- Physical Review Letters, Vol. 117, Issue 5
Energy dependence of dissociative J/ ψ photoproduction as a signature of gluon saturation at the LHC
journal, March 2017
- Cepila, J.; Contreras, J. G.; Tapia Takaki, J. D.
- Physics Letters B, Vol. 766
Exclusive diffractive processes in electron-ion collisions
journal, February 2013
- Toll, Tobias; Ullrich, Thomas
- Physical Review C, Vol. 87, Issue 2
Investigating the gluonic structure of nuclei via scattering
journal, February 2010
- Caldwell, A.; Kowalski, H.
- Physical Review C, Vol. 81, Issue 2
Elastic and proton-dissociative photoproduction of J/ψ mesons at HERA
journal, June 2013
- Alexa, C.; Andreev, V.; Baghdasaryan, A.
- The European Physical Journal C, Vol. 73, Issue 6
Nuclear structure functions at a future electron-ion collider
journal, December 2017
- Aschenauer, E. C.; Fazio, S.; Lamont, M. A. C.
- Physical Review D, Vol. 96, Issue 11
Asymptotic freedom in parton language
journal, August 1977
- Altarelli, G.; Parisi, G.
- Nuclear Physics B, Vol. 126, Issue 2
Non linear gluon evolution in path-integral form
journal, January 2003
- Blaizot, Jean-Paul; Iancu, Edmond; Weigert, Heribert
- Nuclear Physics A, Vol. 713, Issue 3-4
Soft gluons in the infinite-momentum wave function and the BFKL pomeron
journal, March 1994
- Mueller, A. H.
- Nuclear Physics B, Vol. 415, Issue 2
AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
journal, July 2011
- Albacete, Javier L.; Armesto, Néstor; Milhano, José Guilherme
- The European Physical Journal C, Vol. 71, Issue 7
Colour transparency and scaling properties of nuclear shadowing in deep inelastic scattering
journal, December 1991
- Nikolaev, N. N.; Zakharov, B. G.
- Zeitschrift f�r Physik C Particles and Fields, Vol. 49, Issue 4
Combination and QCD analysis of charm production cross section measurements in deep-inelastic ep scattering at HERA
journal, February 2013
- Abramowicz, H.; Abt, I.; Adamczyk, L.
- The European Physical Journal C, Vol. 73, Issue 2
On determination of the large- gluon distribution at HERA
journal, July 1994
- Nikolaev, N. N.; Zakharov, B. G.
- Physics Letters B, Vol. 332, Issue 1-2
Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes
journal, August 1994
- Mueller, A. H.; Patel, Bimal
- Nuclear Physics B, Vol. 425, Issue 3
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016
- Accardi, A.; Albacete, J. L.; Anselmino, M.
- The European Physical Journal A, Vol. 52, Issue 9
Color Fluctuations in the Nucleon in High-Energy Scattering
journal, November 2008
- Frankfurt, L.; Strikman, M.; Treleani, D.
- Physical Review Letters, Vol. 101, Issue 20
Exclusive diffractive processes at HERA within the dipole picture
journal, October 2006
- Kowalski, H.; Motyka, L.; Watt, G.
- Physical Review D, Vol. 74, Issue 7
Ballistic Protons in Incoherent Exclusive Vector Meson Production as a Measure of Rare Parton Fluctuations at an Electron-Ion Collider
journal, February 2015
- Lappi, T.; Mäntysaari, H.; Venugopalan, R.
- Physical Review Letters, Vol. 114, Issue 8
Small- nonlinear evolution with impact parameter and the structure function data
journal, November 2011
- Berger, Jeffrey; Staśto, Anna M.
- Physical Review D, Vol. 84, Issue 9
dependence of diffractive vector meson electroproduction
journal, June 2000
- Martin, A. D.; Ryskin, M. G.; Teubner, T.
- Physical Review D, Vol. 62, Issue 1
Elastic J/ψ production at HERA
journal, April 2006
- H1 Collaboration,
- The European Physical Journal C, Vol. 46, Issue 3, p. 585-603
Measurement of proton-dissociative diffractive photoproduction of vector mesons at large momentum transfer at HERA
journal, January 2003
- Chekanov et al., S.
- The European Physical Journal C, Vol. 26, Issue 3
Saturation and BFKL dynamics in the HERA data at small-x
journal, June 2004
- Iancu, E.; Itakura, K.; Munier, S.
- Physics Letters B, Vol. 590, Issue 3-4
Combination and QCD analysis of charm and beauty production cross-section measurements in deep inelastic $ep$ scattering at HERA
text, January 2018
- Abramowicz, H.; Abt, I.; Adamczyk, L.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg