CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order

Iancu, E.; Mueller, A. H.; Triantafyllopoulos, D. N.

doi:10.1007/JHEP12(2016)041

Title: CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order

Journal Article · Tue Dec 13 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2016)041· OSTI ID:1368070

Iancu, E. ^[1]; Mueller, A. H. ^[2]; Triantafyllopoulos, D. N. ^[3]

Univ. of Paris-Saclay, Gif-sur-Yvette (France). Inst. of Theoretical Physics
Columbia Univ., New York, NY (United States). Dept. of Physics
Fondazione Bruno Kessler, Villazzano (Italy). European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*)

Within the Color Glass Condensate effective theory, we reconsider the next-to-leading order (NLO) calculation of the single inclusive particle production at forward rapidities in proton-nucleus collisions at high energy. Focusing on quark production for definiteness, we establish a new factorization scheme, perturbatively correct through NLO, in which there is no ‘rapidity subtraction’. That is, the NLO correction to the impact factor is not explicitly separated from the high-energy evolution. Our construction exploits the skeleton structure of the (NLO) Balitsky-Kovchegov equation, in which the first step of the evolution is explicitly singled out. The NLO impact factor is included by computing this first emission with the exact kinematics for the emitted gluon, rather than by using the eikonal approximation. This particular calculation has already been presented in the literature, but the reorganization of the perturbation theory that we propose is new. As compared to the proposal in, our scheme is free of the fine-tuning inherent in the rapidity subtraction, which might be the origin of the negativity of the NLO cross-section observed in previous studies.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Columbia Univ., New York, NY (United States); Univ. of Paris-Saclay, Gif-sur-Yvette (France)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)

Contributing Organization:: Fondazione Bruno Kessler, Villazzano (Italy)

Grant/Contract Number:: FG02-92ER40699; ERC-AD-267258

OSTI ID:: 1368070

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 37 works

Citation information provided by
Web of Science

References (76)

High-energy factorization and small-x deep inelastic scattering beyond leading order Catani, S.; Hautmann, F. Nuclear Physics B, Vol. 427, Issue 3 https://doi.org/10.1016/0550-3213(94)90636-X	journal	October 1994
Next-to-leading and resummed BFKL evolution with saturation boundary Avsar, E.; Staśto, A. M.; Triantafyllopoulos, D. N. Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)138	journal	October 2011
Quark contribution to the small- $x$ evolution of color dipole Balitsky, Ian Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014001	journal	January 2007
A resummation of large sub-leading corrections at small x Salam, Gavin P. Journal of High Energy Physics, Vol. 1998, Issue 07 https://doi.org/10.1088/1126-6708/1998/07/019	journal	July 1998
Next-to-Leading-Order Forward Hadron Production in the Small- $x$ Regime: The Role of Rapidity Factorization Kang, Zhong-Bo; Vitev, Ivan; Xing, Hongxi Physical Review Letters, Vol. 113, Issue 6 https://doi.org/10.1103/PhysRevLett.113.062002	journal	August 2014
Saturation in inclusive production beyond leading logarithm accuracy Staśto, Anna M.; Zaslavsky, David International Journal of Modern Physics A, Vol. 31, Issue 24 https://doi.org/10.1142/S0217751X16300398	journal	August 2016
The Color Glass Condensate Gelis, Francois; Iancu, Edmond; Jalilian-Marian, Jamal Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.010909.083629	journal	November 2010
Gluon saturation and initial conditions for relativistic heavy ion collisions Albacete, J. L.; Marquet, C. Progress in Particle and Nuclear Physics, Vol. 76 https://doi.org/10.1016/j.ppnp.2014.01.004	journal	May 2014
Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept Kovchegov, Yuri V.; Weigert, Heribert Nuclear Physics A, Vol. 789, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2007.03.008	journal	June 2007
Single inclusive hadron production at RHIC and the LHC from the color glass condensate Albacete, Javier L.; Marquet, Cyrille Physics Letters B, Vol. 687, Issue 2-3 https://doi.org/10.1016/j.physletb.2010.02.073	journal	April 2010
Triumvirate of running couplings in small-x evolution Kovchegov, Yuri V.; Weigert, Heribert Nuclear Physics A, Vol. 784, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2006.10.075	journal	March 2007
Operator expansion for high-energy scattering Balitsky, I. Nuclear Physics B, Vol. 463, Issue 1 https://doi.org/10.1016/0550-3213(95)00638-9	journal	March 1996
Towards the Test of Saturation Physics Beyond Leading Logarithm Staśto, Anna M.; Xiao, Bo-Wen; Zaslavsky, David Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.012302	journal	January 2014
Cronin effect and high- $p_{T}$ suppression in pA collisions Kharzeev, Dmitri; Kovchegov, Yuri V.; Tuchin, Kirill Physical Review D, Vol. 68, Issue 9 https://doi.org/10.1103/PhysRevD.68.094013	journal	November 2003
Geometric Scaling for the Total $γ^{*} p$ Cross Section in the Low $x$ Region Staśto, A. M.; Golec-Biernat, K.; Kwieciński, J. Physical Review Letters, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevLett.86.596	journal	January 2001
Resummation of double collinear logs in BK evolution versus HERA data Albacete, Javier L. Nuclear Physics A, Vol. 957 https://doi.org/10.1016/j.nuclphysa.2016.07.008	journal	January 2017
Unified BFKL and Gribov-Lipatov-Altarelli-Parisi description of $F_{2}$ data Kwiecinski, J.; Martin, A. D.; Stasto, A. M. Physical Review D, Vol. 56, Issue 7 https://doi.org/10.1103/PhysRevD.56.3991	journal	October 1997
Collinearly-improved BK evolution meets the HERA data Iancu, E.; Madrigal, J. D.; Mueller, A. H. Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.09.071	journal	November 2015
-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order Mueller, A. H.; Munier, S. Nuclear Physics A, Vol. 893 https://doi.org/10.1016/j.nuclphysa.2012.08.005	journal	November 2012
The color glass condensate and hadron production in the forward region Dumitru, Adrian; Hayashigaki, Arata; Jalilian-Marian, Jamal Nuclear Physics A, Vol. 765, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2005.11.014	journal	February 2006
Azimuthal Correlations of Forward Dihadrons in $d + Au$ Collisions at RHIC in the Color Glass Condensate Albacete, J. L.; Marquet, C. Physical Review Letters, Vol. 105, Issue 16 https://doi.org/10.1103/PhysRevLett.105.162301	journal	October 2010
The BFKL equation from the Wilson renormalization group Jalilian-Marian, Jamal; Kovner, Alex; Leonidov, Andrei Nuclear Physics B, Vol. 504, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00440-9	journal	October 1997
Forward inclusive dijet production and azimuthal correlations in pA collisions Marquet, Cyrille Nuclear Physics A, Vol. 796, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2007.09.001	journal	November 2007
One-Loop Factorization for Inclusive Hadron Production in $p − A$ Collisions in the Saturation Formalism Chirilli, Giovanni A.; Xiao, Bo-Wen; Yuan, Feng Physical Review Letters, Vol. 108, Issue 12 https://doi.org/10.1103/PhysRevLett.108.122301	journal	March 2012
High energy factorization and small-x heavy flavour production Catani, S.; Ciafaloni, M.; Hautmann, F. Nuclear Physics B, Vol. 366, Issue 1 https://doi.org/10.1016/0550-3213(91)90055-3	journal	November 1991
Quantum Chromodynamics at High Energy Kovchegov, Yuri V.; Levin, Eugene Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology https://doi.org/10.1017/CBO9781139022187	book	September 2012
Cronin effect and high- suppression in the nuclear gluon distribution at small x Iancu, E.; Itakura, K.; Triantafyllopoulos, D. N. Nuclear Physics A, Vol. 742, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2004.06.033	journal	September 2004
CGC predictions for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">p</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">A</mml:mi></mml:math> collisions at the LHC and signature of QCD saturation Rezaeian, Amir H. Physics Letters B, Vol. 718, Issue 3 https://doi.org/10.1016/j.physletb.2012.11.066	journal	January 2013
The renormalization group equation for the color glass condensate Iancu, Edmond; Leonidov, Andrei; McLerran, Larry Physics Letters B, Vol. 510, Issue 1-4 https://doi.org/10.1016/S0370-2693(01)00524-X	journal	June 2001
Geometric Scaling as Traveling Waves Munier, S.; Peschanski, R. Physical Review Letters, Vol. 91, Issue 23 https://doi.org/10.1103/PhysRevLett.91.232001	journal	December 2003
QCD and Collider Physics Ellis, R. K.; Stirling, W. J.; Webber, B. R. https://doi.org/10.1017/CBO9780511628788	book	January 1996
Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions Ivanov, D. Yu.; Papa, A. Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)045	journal	July 2012
Resumming double logarithms in the QCD evolution of color dipoles Iancu, E.; Madrigal, J. D.; Mueller, A. H. Physics Letters B, Vol. 744 https://doi.org/10.1016/j.physletb.2015.03.068	journal	May 2015
Geometric scaling above the saturation scale Iancu, Edmond; Itakura, Kazunori; McLerran, Larry Nuclear Physics A, Vol. 708, Issue 3-4 https://doi.org/10.1016/S0375-9474(02)01010-2	journal	October 2002
Renormalization group improved small- $x$ Green’s function Ciafaloni, M.; Colferai, D.; Salam, G. P. Physical Review D, Vol. 68, Issue 11 https://doi.org/10.1103/PhysRevD.68.114003	journal	December 2003
Inclusive gluon production in deep inelastic scattering at high parton density Kovchegov, Yuri V.; Tuchin, Kirill Physical Review D, Vol. 65, Issue 7 https://doi.org/10.1103/PhysRevD.65.074026	journal	March 2002
Relating different approaches to nonlinear QCD evolution at finite gluon density Kovner, Alex; Milhano, J. Guilherme; Weigert, Heribert Physical Review D, Vol. 62, Issue 11 https://doi.org/10.1103/PhysRevD.62.114005	journal	October 2000
High energy pA collisions in the color glass condensate approach II: quark pair production Blaizot, Jean-Paul; Gelis, François; Venugopalan, Raju Nuclear Physics A, Vol. 743, Issue 1-3 https://doi.org/10.1016/j.nuclphysa.2004.07.006	journal	October 2004
High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect Blaizot, Jean-Paul; Gelis, François; Venugopalan, Raju Nuclear Physics A, Vol. 743, Issue 1-3 https://doi.org/10.1016/j.nuclphysa.2004.07.005	journal	October 2004
The energy dependence of the saturation momentum Mueller, A. H.; Triantafyllopoulos, D. N. Nuclear Physics B, Vol. 640, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00581-3	journal	September 2002
Saturation effects in deep inelastic scattering at low $Q^{2}$ and its implications on diffraction Golec-Biernat, K.; Wüsthoff, M. Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014017	journal	November 1998
Forward Quark Jets from Protons Shattering the Color Glass Condensate Dumitru, Adrian; Jalilian-Marian, Jamal Physical Review Letters, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevLett.89.022301	journal	June 2002
AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks Albacete, Javier L.; Armesto, Néstor; Milhano, José Guilherme The European Physical Journal C, Vol. 71, Issue 7 https://doi.org/10.1140/epjc/s10052-011-1705-3	journal	July 2011
Dipole factorization for DIS at NLO: Loop correction to the $γ_{T, L}^{*} \to q \bar{q}$ light-front wave functions Beuf, Guillaume Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054016	journal	September 2016
Resummation of singlet parton evolution at small Altarelli, Guido; Ball, Richard D.; Forte, Stefano Nuclear Physics B, Vol. 575, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00032-8	journal	May 2000
An “all-poles” approximation to collinear resummations in the Regge limit of perturbative QCD Sabio Vera, Agustín Nuclear Physics B, Vol. 722, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.06.003	journal	August 2005
Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation Kovchegov, Yuri V.; Mueller, A. H. Nuclear Physics B, Vol. 529, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00384-8	journal	September 1998
Energy Dependence of the Cronin Effect from Nonlinear QCD Evolution Albacete, Javier L.; Armesto, Néstor; Kovner, Alex Physical Review Letters, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevLett.92.082001	journal	February 2004
Collinearly improved JIMWLK evolution in Langevin form Hatta, Yoshitaka; Iancu, Edmond Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)083	journal	August 2016
Gluon splitting in a shockwave Iancu, E.; Laidet, J. Nuclear Physics A, Vol. 916 https://doi.org/10.1016/j.nuclphysa.2013.07.012	journal	October 2013
Renormalization group improved small- $x$ equation Ciafaloni, M.; Colferai, D.; Salam, G. P. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.114036	journal	November 1999
Gluon distribution functions for very large nuclei at small transverse momentum McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 7 https://doi.org/10.1103/PhysRevD.49.3352	journal	April 1994
Geometric Scaling for the Total gamma*p Cross Section in the Low x Region Golec-Biernat, K.; Kwiecinski, J.; Stasto, A. M. The American Physical Society https://doi.org/10.17877/de290r-6090	text	January 2001
Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate Albacete, Javier L.; Marquet, Cyrille arXiv https://doi.org/10.48550/arxiv.1001.1378	text	January 2010
The Color Glass Condensate Gelis, F.; Iancu, E.; Jalilian-Marian, J. arXiv https://doi.org/10.48550/arxiv.1002.0333	text	January 2010
Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate Albacete, Javier L.; Marquet, Cyrille arXiv https://doi.org/10.48550/arxiv.1005.4065	text	January 2010
Next-to-leading and resummed BFKL evolution with saturation boundary Avsar, E.; Stasto, A. M.; Triantafyllopoulos, D. N. arXiv https://doi.org/10.48550/arxiv.1107.1252	text	January 2011
Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions Ivanov, Dmitry Yu.; Papa, Alessandro arXiv https://doi.org/10.48550/arxiv.1205.6068	text	January 2012
Towards the Test of Saturation Physics Beyond Leading Logarithm Stasto, Anna M.; Xiao, Bo-Wen; Zaslavsky, David arXiv https://doi.org/10.48550/arxiv.1307.4057	text	January 2013
Gluon saturation and initial conditions for relativistic heavy ion collisions Albacete, Javier L.; Marquet, Cyrille arXiv https://doi.org/10.48550/arxiv.1401.4866	text	January 2014
Collinearly improved JIMWLK evolution in Langevin form Hatta, Yoshitaka; Iancu, Edmond arXiv https://doi.org/10.48550/arxiv.1606.03269	text	January 2016
Saturation in inclusive production beyond leading logarithm accuracy Stasto, Anna M.; Zaslavsky, David arXiv https://doi.org/10.48550/arxiv.1608.02285	text	January 2016
Relating different approaches to nonlinear QCD evolution at finite gluon density Kovner, Alex; Milhano, J. Guilherme; Weigert, Heribert arXiv https://doi.org/10.48550/arxiv.hep-ph/0004014	text	January 2000
The Renormalization Group Equation for the Color Glass Condensate Iancu, E.; Leonidov, A.; McLerran, L. arXiv https://doi.org/10.48550/arxiv.hep-ph/0102009	text	January 2001
Geometric Scaling above the Saturation Scale Iancu, E.; Itakura, K.; McLerran, L. arXiv https://doi.org/10.48550/arxiv.hep-ph/0203137	text	January 2002
The Energy Dependence of the Saturation Momentum Mueller, A. H.; Triantafyllopoulos, D. N. arXiv https://doi.org/10.48550/arxiv.hep-ph/0205167	text	January 2002
Cronin Effect and High-p_T Suppression in pA Collisions Kharzeev, Dmitri; Kovchegov, Yuri V.; Tuchin, Kirill arXiv https://doi.org/10.48550/arxiv.hep-ph/0307037	text	January 2003
Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution Albacete, Javier L.; Armesto, Nestor; Kovner, Alex arXiv https://doi.org/10.48550/arxiv.hep-ph/0307179	text	January 2003
Renormalisation group improved small-x Green's function Ciafaloni, M.; Colferai, D.; Salam, G. P. arXiv https://doi.org/10.48550/arxiv.hep-ph/0307188	text	January 2003
An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD Vera, Agustin Sabio arXiv https://doi.org/10.48550/arxiv.hep-ph/0505128	text	January 2005
Quark contribution to the small-$x$ evolution of color dipole Balitsky, I. arXiv https://doi.org/10.48550/arxiv.hep-ph/0609105	text	January 2006
Quark loop contribution to BFKL evolution: Running coupling and leading-N_f NLO intercept Kovchegov, Yuri V.; Weigert, Heribert arXiv https://doi.org/10.48550/arxiv.hep-ph/0612071	text	January 2006
Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum McLerran, Larry; Venugopalan, Raju arXiv https://doi.org/10.48550/arxiv.hep-ph/9311205	text	January 1993
The BFKL Equation from the Wilson Renormalization Group Jalilian-Marian, Jamal; Kovner, Alex; Leonidov, Andrei arXiv https://doi.org/10.48550/arxiv.hep-ph/9701284	text	January 1997
Renormalization Group Improved Small-x Equation Ciafaloni, M.; Colferai, D.; Salam, G. P. arXiv https://doi.org/10.48550/arxiv.hep-ph/9905566	text	January 1999
Resummation of Singlet Parton Evolution at Small x Altarelli, Guido; Ball, Richard D.; Forte, Stefano arXiv https://doi.org/10.48550/arxiv.hep-ph/9911273	text	January 1999

Cited By (3)

Soft photon and two hard jets forward production in proton-nucleus collisions Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/jhep04(2018)063	journal	April 2018
Interplay of the CGC and TMD frameworks to all orders in kinematic twist Altinoluk, Tolga; Boussarie, Renaud; Kotko, Piotr arXiv https://doi.org/10.48550/arxiv.1901.01175	text	January 2019
Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order Liu, Hao-Yu; Ma, Yan-Qing; Chao, Kuang-Ta arXiv https://doi.org/10.48550/arxiv.1909.02370	text	January 2019

Similar Records

Non-linear evolution in QCD at high-energy beyond leading order

Journal Article · Wed Apr 10 00:00:00 EDT 2019 · Journal of High Energy Physics (Online) · OSTI ID:1368070

Ducloué, B.; Iancu, E.; Mueller, A. H.; +2 more

High-Energy Amplitudes and Impact Factors at Next-to-Leading Order

Conference · Tue Jun 01 00:00:00 EDT 2010 · OSTI ID:1368070

Chirilli, Giovanni

NLO vertex for a forward jet plus a rapidity gap at high energies

Journal Article · Wed Apr 01 00:00:00 EDT 2015 · AIP Conference Proceedings · OSTI ID:1368070

Hentschinski, Martin; Madrigal Martínez, José Daniel; Murdaca, Beatrice; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Perturbative QCD
Resummation

Title: CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order

Citation Formats

References (76)

Cited By (3)

Similar Records

Related Subjects