Interplay of the CGC and TMD frameworks to all orders in kinematic twist

Altinoluk, Tolga; Boussarie, Renaud; Kotko, Piotr

doi:10.1007/JHEP05(2019)156

Title: Interplay of the CGC and TMD frameworks to all orders in kinematic twist

Abstract

A framework for an improved TMD (iTMD) factorization scheme at small x, involving off-shell perturbative subamplitudes, was recently developed as an interpolation between the TMD k_t $$\ll$$ Q regime and the BFKL k_t~ Q regime. Here, we observe the relation between CGC and iTMD amplitudes. We first show how the dipolesize expansion of CGC amplitudes resembles the twist expansion of a TMD amplitude. Then, by isolating kinematic twists, we prove that iTMD amplitudes are obtained with infinite kinematic twist accuracy by simply getting rid of all genuine twist contributions in a CGC amplitude. Lastly, we compare the amplitudes obtained via a proper kinematic twist expansion to those obtained via a more standard dilute expansion to show the relation between the iTMD framework and the dilute low x framework. This allows to reinterpret the dilute expansion as a Wandzura-Wilczek approximation in the large k_t regime

Authors:

Altinoluk, Tolga ^[1]; Boussarie, Renaud ^[2];

^[3]

National Centre for Nuclear Research, Warsaw (Poland)
Brookhaven National Laboratory (BNL), Upton, NY (United States); Polish Academy of Sciences (PAS), Krakow (Poland)
Polish Academy of Sciences (PAS), Krakow (Poland)

Publication Date:: 2019-05-24

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1530525

Report Number(s):: BNL-211821-2019-JAAM
Journal ID: ISSN 1029-8479

Grant/Contract Number:: SC0012704

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: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Heavy Ion Phenomenology

Citation Formats


                    Altinoluk, Tolga, Boussarie, Renaud, and Kotko, Piotr. Interplay of the CGC and TMD frameworks to all orders in kinematic twist.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP05(2019)156.

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                    Altinoluk, Tolga, Boussarie, Renaud, & Kotko, Piotr. Interplay of the CGC and TMD frameworks to all orders in kinematic twist.  United States.  https://doi.org/10.1007/JHEP05(2019)156

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                    Altinoluk, Tolga, Boussarie, Renaud, and Kotko, Piotr. Fri .  
"Interplay of the CGC and TMD frameworks to all orders in kinematic twist".  United States.  https://doi.org/10.1007/JHEP05(2019)156.  https://www.osti.gov/servlets/purl/1530525.

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@article{osti_1530525,

  title        = {Interplay of the CGC and TMD frameworks to all orders in kinematic twist},

  author       = {Altinoluk, Tolga and Boussarie, Renaud and Kotko, Piotr},

  abstractNote = {A framework for an improved TMD (iTMD) factorization scheme at small x, involving off-shell perturbative subamplitudes, was recently developed as an interpolation between the TMD kt $\ll$ Q regime and the BFKL kt~ Q regime. Here, we observe the relation between CGC and iTMD amplitudes. We first show how the dipolesize expansion of CGC amplitudes resembles the twist expansion of a TMD amplitude. Then, by isolating kinematic twists, we prove that iTMD amplitudes are obtained with infinite kinematic twist accuracy by simply getting rid of all genuine twist contributions in a CGC amplitude. Lastly, we compare the amplitudes obtained via a proper kinematic twist expansion to those obtained via a more standard dilute expansion to show the relation between the iTMD framework and the dilute low x framework. This allows to reinterpret the dilute expansion as a Wandzura-Wilczek approximation in the large kt regime},

  doi          = {10.1007/JHEP05(2019)156},

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

  number       = 5,

  volume       = 2019,

  place        = {United States},

  year         = {2019},

  month        = {5}

}

Copy to clipboard

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Works referenced in this record:

TMD gluon distributions at small x in the CGC theory
journal, May 2018

Petreska, Elena
International Journal of Modern Physics E, Vol. 27, Issue 05
DOI: 10.1142/S0218301318300035

TMD gluon distributions at small x in the CGC theory
text, January 2018

Petreska, Elena
arXiv
DOI: 10.48550/arxiv.1804.04981

Multi-Parton Amplitudes in Gauge Theories
text, January 2005

Mangano, Michelangelo L.; Parke, Stephen J.
arXiv
DOI: 10.48550/arxiv.hep-th/0509223

Forward jet production at the Large Hadron Collider
journal, September 2009

Deak, M.; Hautmann, F.; Jung, H.
Journal of High Energy Physics, Vol. 2009, Issue 09
DOI: 10.1088/1126-6708/2009/09/121

BCFW recursion for TMD parton scattering
text, January 2015

van Hameren, A.; Serino, M.
arXiv
DOI: 10.48550/arxiv.1504.00315

Next-to-next-to-eikonal corrections in the CGC
journal, January 2016

Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)114

Towards the Test of Saturation Physics Beyond Leading Logarithm
text, January 2013

Stasto, Anna M.; Xiao, Bo-Wen; Zaslavsky, David
arXiv
DOI: 10.48550/arxiv.1307.4057

When does the gluon reggeize?
journal, May 2015

Caron-Huot, Simon
Journal of High Energy Physics, Vol. 2015, Issue 5
DOI: 10.1007/JHEP05(2015)093

Suppression of maximal linear gluon polarization in angular asymmetries
journal, October 2017

Boer, Daniël; Mulders, Piet J.; Zhou, Jian
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/JHEP10(2017)196

Small-x behavior and parton saturation: A QCD model
journal, April 1990

Mueller, A. H.
Nuclear Physics B, Vol. 335, Issue 1
DOI: 10.1016/0550-3213(90)90173-B

Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
journal, September 2015

Kotko, P.; Kutak, K.; Marquet, C.
Journal of High Energy Physics, Vol. 2015, Issue 9
DOI: 10.1007/JHEP09(2015)106

TMD gluon distributions for multiparton processes
journal, February 2019

Bury, M.; Kotko, P.; Kutak, K.
The European Physical Journal C, Vol. 79, Issue 2
DOI: 10.1140/epjc/s10052-019-6652-4

Towards the Test of Saturation Physics Beyond Leading Logarithm
journal, January 2014

Staśto, Anna M.; Xiao, Bo-Wen; Zaslavsky, David
Physical Review Letters, Vol. 112, Issue 1
DOI: 10.1103/PhysRevLett.112.012302

Helicity amplitudes for high-energy scattering
journal, January 2013

van Hameren, A.; Kotko, P.; Kutak, K.
Journal of High Energy Physics, Vol. 2013, Issue 1
DOI: 10.1007/JHEP01(2013)078

TMD gluon distributions for multiparton processes
text, January 2018

Bury, Marcin; Kotko, Piotr; Kutak, Krzysztof
arXiv
DOI: 10.48550/arxiv.1809.08968

Multi-parton amplitudes in gauge theories
journal, February 1991

Mangano, Michelangelo L.; Parke, Stephen J.
Physics Reports, Vol. 200, Issue 6
DOI: 10.1016/0370-1573(91)90091-Y

Transverse-momentum-dependent gluon distributions from JIMWLK evolution
journal, October 2016

Marquet, C.; Petreska, E.; Roiesnel, C.
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)065

Suppression of maximal linear gluon polarization in angular asymmetries
text, January 2017

Boer, Daniel; Mulders, Piet J.; Zhou, Jian
arXiv
DOI: 10.48550/arxiv.1702.08195

Higher-twist corrections to gluon TMD factorization
journal, July 2017

Balitsky, I.; Tarasov, A.
Journal of High Energy Physics, Vol. 2017, Issue 7
DOI: 10.1007/JHEP07(2017)095

BCFW recursion for off-shell gluons
text, January 2014

van Hameren, A.
arXiv
DOI: 10.48550/arxiv.1404.7818

Unitarity and the BFKL pomeron
journal, March 1995

Mueller, A. H.
Nuclear Physics B, Vol. 437, Issue 1
DOI: 10.1016/0550-3213(94)00480-3

Sub-eikonal corrections to scattering amplitudes at high energy
text, January 2019

Chirilli, Giovanni Antonio
Universität Regensburg
DOI: 10.5283/epub.38356

Evolution equations for QCD string operators
journal, January 1989

Balitsky, I. I.; Braun, V. M.
Nuclear Physics B, Vol. 311, Issue 3
DOI: 10.1016/0550-3213(89)90168-5

Sub-eikonal corrections to scattering amplitudes at high energy
journal, January 2019

Chirilli, Giovanni Antonio
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/JHEP01(2019)118

One-Loop Factorization for Inclusive Hadron Production in $p − A$ Collisions in the Saturation Formalism
journal, March 2012

Chirilli, Giovanni A.; Xiao, Bo-Wen; Yuan, Feng
Physical Review Letters, Vol. 108, Issue 12
DOI: 10.1103/PhysRevLett.108.122301

Forward trijet production in proton-nucleus collisions
text, January 2018

Iancu, Edmond; Mulian, Yair
arXiv
DOI: 10.48550/arxiv.1809.05526

Soft photon and two hard jets forward production in proton-nucleus collisions
journal, April 2018

Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex
Journal of High Energy Physics, Vol. 2018, Issue 4
DOI: 10.1007/JHEP04(2018)063

The dipole picture of high energy scattering, the BFKL equation and many gluon compound states
journal, October 1995

Chen, Zhang; Mueller, A. H.
Nuclear Physics B, Vol. 451, Issue 3
DOI: 10.1016/0550-3213(95)00350-2

Gluon TMD in particle production from low to moderate x
journal, June 2016

Balitsky, I.; Tarasov, A.
Journal of High Energy Physics, Vol. 2016, Issue 6
DOI: 10.1007/JHEP06(2016)164

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
journal, May 2017

Kotko, P.; Kutak, K.; Sapeta, S.
The European Physical Journal C, Vol. 77, Issue 5
DOI: 10.1140/epjc/s10052-017-4906-6

Higher-twist corrections to gluon TMD factorization
text, January 2017

Balitsky, I.; Tarasov, A.
arXiv
DOI: 10.48550/arxiv.1706.01415

Multi-gluon helicity amplitudes with one off-shell leg within high energy factorization
journal, December 2012

van Hameren, A.; Kotko, P.; Kutak, K.
Journal of High Energy Physics, Vol. 2012, Issue 12
DOI: 10.1007/JHEP12(2012)029

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
journal, December 2016

Iancu, E.; Mueller, A. H.; Triantafyllopoulos, D. N.
Journal of High Energy Physics, Vol. 2016, Issue 12
DOI: 10.1007/JHEP12(2016)041

Wilson lines and gauge invariant off-shell amplitudes
journal, July 2014

Kotko, Piotr
Journal of High Energy Physics, Vol. 2014, Issue 7
DOI: 10.1007/JHEP07(2014)128

Helicity amplitudes for high-energy scattering
text, January 2012

van Hameren, A.; Kotko, P.; Kutak, K.
arXiv
DOI: 10.48550/arxiv.1211.0961

BCFW recursion for TMD parton scattering
journal, July 2015

van Hameren, Andreas; Serino, Mirko
Journal of High Energy Physics, Vol. 2015, Issue 7
DOI: 10.1007/JHEP07(2015)010

Unitarity at small Bjorken x
journal, June 2002

Weigert, Heribert
Nuclear Physics A, Vol. 703, Issue 3-4
DOI: 10.1016/S0375-9474(01)01668-2

Unitarity and the BFKL Pomeron
text, January 1994

Nueller, A. H.
arXiv
DOI: 10.48550/arxiv.hep-ph/9408245

Relation of parton distribution functions in the Drell-Yan process to deeply inelastic scattering
journal, June 1983

Collins, John C.; Soper, Davison E.; Sterman, George
Physics Letters B, Vol. 126, Issue 3-4
DOI: 10.1016/0370-2693(83)90606-8

QCD Reggeon calculus from KLWMIJ/JIMWLK evolution: vertices, reggeization and all
journal, September 2013

Altinoluk, Tolga; Contreras, Carlos; Kovner, Alex
Journal of High Energy Physics, Vol. 2013, Issue 9
DOI: 10.1007/JHEP09(2013)115

Forward trijet production in proton–nucleus collisions
journal, May 2019

Iancu, Edmond; Mulian, Yair
Nuclear Physics A, Vol. 985
DOI: 10.1016/j.nuclphysa.2019.02.003

BCFW recursion for off-shell gluons
journal, July 2014

van Hameren, A.
Journal of High Energy Physics, Vol. 2014, Issue 7
DOI: 10.1007/JHEP07(2014)138

Connection between complete and Möbius forms of gauge invariant operators
journal, March 2012

Fadin, V. S.; Fiore, R.; Grabovsky, A. V.
Nuclear Physics B, Vol. 856, Issue 1
DOI: 10.1016/j.nuclphysb.2011.11.008

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
text, January 2017

Kotko, P.; Kutak, K.; Sapeta, S.
arXiv
DOI: 10.48550/arxiv.1702.03063

Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks
journal, December 1977

Wandzura, S.; Wilczek, F.
Physics Letters B, Vol. 72, Issue 2
DOI: 10.1016/0370-2693(77)90700-6

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
text, January 2016

Iancu, E.; Mueller, A. H.; Triantafyllopoulos, D. N.
arXiv
DOI: 10.48550/arxiv.1608.05293

Asymptotic freedom in parton language
journal, August 1977

Altarelli, G.; Parisi, G.
Nuclear Physics B, Vol. 126, Issue 2
DOI: 10.1016/0550-3213(77)90384-4

The dipole form of the gluon part of the BFKL kernel
journal, November 2007

Fadin, V. S.; Fiore, R.; Grabovsky, A. V.
Nuclear Physics B, Vol. 784, Issue 1-2
DOI: 10.1016/j.nuclphysb.2007.06.002

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
DOI: 10.1016/0550-3213(94)90116-3

Rapidity evolution of gluon TMD from low to moderate x
journal, October 2015

Balitsky, I.; Tarasov, A.
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)017

Operator expansion for high-energy scattering
journal, March 1996

Balitsky, I.
Nuclear Physics B, Vol. 463, Issue 1
DOI: 10.1016/0550-3213(95)00638-9

Factorization for High-Energy Scattering
journal, September 1998

Balitsky, I.
Physical Review Letters, Vol. 81, Issue 10
DOI: 10.1103/PhysRevLett.81.2024

Factorization and high-energy effective action
journal, June 1999

Balitsky, Ian
Physical Review D, Vol. 60, Issue 1
DOI: 10.1103/PhysRevD.60.014020

Computing quark and gluon distribution functions for very large nuclei
journal, March 1994

McLerran, Larry; Venugopalan, Raju
Physical Review D, Vol. 49, Issue 5
DOI: 10.1103/PhysRevD.49.2233

Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994

McLerran, Larry; Venugopalan, Raju
Physical Review D, Vol. 49, Issue 7
DOI: 10.1103/PhysRevD.49.3352

Green’s function in the color field of a large nucleus
journal, August 1994

McLerran, Larry; Venugopalan, Raju
Physical Review D, Vol. 50, Issue 3
DOI: 10.1103/PhysRevD.50.2225

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
DOI: 10.1016/S0550-3213(97)00440-9

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
DOI: 10.1103/PhysRevD.59.014014

Wilson renormalization group for low x physics: Gluon evolution at finite parton density
journal, November 1998

Jalilian-Marian, Jamal; Kovner, Alex; Weigert, Heribert
Physical Review D, Vol. 59, Issue 1
DOI: 10.1103/PhysRevD.59.014015

Vector potential versus color charge density in low- $x$ evolution
journal, December 1999

Kovner, Alex; Guilherme Milhano, J.
Physical Review D, Vol. 61, Issue 1
DOI: 10.1103/PhysRevD.61.014012

Relating different approaches to nonlinear QCD evolution at finite gluon density
journal, October 2000

Kovner, Alex; Milhano, J. Guilherme; Weigert, Heribert
Physical Review D, Vol. 62, Issue 11
DOI: 10.1103/PhysRevD.62.114005

Nonlinear gluon evolution in the color glass condensate: I
journal, September 2001

Iancu, Edmond; Leonidov, Andrei; McLerran, Larry
Nuclear Physics A, Vol. 692, Issue 3-4
DOI: 10.1016/S0375-9474(01)00642-X

Nonlinear gluon evolution in the color glass condensate: II
journal, May 2002

Ferreiro, Elena; Iancu, Edmond; Leonidov, Andrei
Nuclear Physics A, Vol. 703, Issue 1-2
DOI: 10.1016/S0375-9474(01)01329-X

Small- x $F_{2}$ structure function of a nucleus including multiple Pomeron exchanges
journal, June 1999

Kovchegov, Yuri V.
Physical Review D, Vol. 60, Issue 3
DOI: 10.1103/PhysRevD.60.034008

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
DOI: 10.1016/0550-3213(94)90284-4

The dipole form of the quark part of the BFKL kernel
journal, April 2007

Fadin, V. S.; Fiore, R.; Papa, A.
Physics Letters B, Vol. 647, Issue 2-3
DOI: 10.1016/j.physletb.2007.02.022

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002

Brodsky, Stanley J.; Hwang, Dae Sung; Schmidt, Ivan
Physics Letters B, Vol. 530, Issue 1-4
DOI: 10.1016/S0370-2693(02)01320-5

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002

Collins, John C.
Physics Letters B, Vol. 536, Issue 1-2
DOI: 10.1016/S0370-2693(02)01819-1

Final state interactions and gauge invariant parton distributions
journal, April 2003

Belitsky, A. V.; Ji, X.; Yuan, F.
Nuclear Physics B, Vol. 656, Issue 1-2
DOI: 10.1016/S0550-3213(03)00121-4

Gauge link structure in quark–quark correlators in hard processes
journal, August 2004

Bomhof, C. J.; Mulders, P. J.; Pijlman, F.
Physics Letters B, Vol. 596, Issue 3-4
DOI: 10.1016/j.physletb.2004.06.100

Color gauge invariance in the Drell–Yan process
journal, March 2000

Boer, Daniël; Mulders, P. J.
Nuclear Physics B, Vol. 569, Issue 1-3
DOI: 10.1016/S0550-3213(99)00719-1

The construction of gauge-links in arbitrary hard processes
journal, May 2006

Bomhof, C. J.; Mulders, P. J.; Pijlman, F.
The European Physical Journal C, Vol. 47, Issue 1
DOI: 10.1140/epjc/s2006-02554-2

$\cos (4 φ)$ azimuthal anisotropy in small- $x$ DIS dijet production beyond the leading power TMD limit
journal, July 2016

Dumitru, Adrian; Skokov, Vladimir
Physical Review D, Vol. 94, Issue 1
DOI: 10.1103/PhysRevD.94.014030

Saturation effects in deep inelastic scattering at low $Q^{2}$ and its implications on diffraction
journal, November 1998

Golec-Biernat, K.; Wüsthoff, M.
Physical Review D, Vol. 59, Issue 1
DOI: 10.1103/PhysRevD.59.014017

Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
journal, December 2016

van Hameren, A.; Kotko, P.; Kutak, K.
Journal of High Energy Physics, Vol. 2016, Issue 12
DOI: 10.1007/JHEP12(2016)034

The color glass condensate and hadron production in the forward region
journal, February 2006

Dumitru, Adrian; Hayashigaki, Arata; Jalilian-Marian, Jamal
Nuclear Physics A, Vol. 765, Issue 3-4
DOI: 10.1016/j.nuclphysa.2005.11.014

Feynman rules for effective Regge action
journal, August 2005

Antonov, E. N.; Cherednikov, I. O.; Kuraev, E. A.
Nuclear Physics B, Vol. 721, Issue 1-3
DOI: 10.1016/j.nuclphysb.2005.05.013

Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
journal, July 2014

Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume
Journal of High Energy Physics, Vol. 2014, Issue 7
DOI: 10.1007/JHEP07(2014)068

Helicity evolution at small x
journal, January 2016

Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D.
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)072

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Title: Interplay of the CGC and TMD frameworks to all orders in kinematic twist

Abstract

Citation Formats

TMD gluon distributions at small x in the CGC theory journal, May 2018

TMD gluon distributions at small x in the CGC theory text, January 2018

Multi-Parton Amplitudes in Gauge Theories text, January 2005

Forward jet production at the Large Hadron Collider journal, September 2009

BCFW recursion for TMD parton scattering text, January 2015

Next-to-next-to-eikonal corrections in the CGC journal, January 2016

Towards the Test of Saturation Physics Beyond Leading Logarithm text, January 2013

When does the gluon reggeize? journal, May 2015

Suppression of maximal linear gluon polarization in angular asymmetries journal, October 2017

Small-x behavior and parton saturation: A QCD model journal, April 1990

Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions journal, September 2015

TMD gluon distributions for multiparton processes journal, February 2019

Towards the Test of Saturation Physics Beyond Leading Logarithm journal, January 2014

Helicity amplitudes for high-energy scattering journal, January 2013

TMD gluon distributions for multiparton processes text, January 2018

Multi-parton amplitudes in gauge theories journal, February 1991

Transverse-momentum-dependent gluon distributions from JIMWLK evolution journal, October 2016

Suppression of maximal linear gluon polarization in angular asymmetries text, January 2017

Higher-twist corrections to gluon TMD factorization journal, July 2017

BCFW recursion for off-shell gluons text, January 2014

Unitarity and the BFKL pomeron journal, March 1995

Sub-eikonal corrections to scattering amplitudes at high energy text, January 2019

Evolution equations for QCD string operators journal, January 1989

Sub-eikonal corrections to scattering amplitudes at high energy journal, January 2019

One-Loop Factorization for Inclusive Hadron Production in p − A Collisions in the Saturation Formalism journal, March 2012

Forward trijet production in proton-nucleus collisions text, January 2018

Soft photon and two hard jets forward production in proton-nucleus collisions journal, April 2018

The dipole picture of high energy scattering, the BFKL equation and many gluon compound states journal, October 1995

Gluon TMD in particle production from low to moderate x journal, June 2016

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC journal, May 2017

Higher-twist corrections to gluon TMD factorization text, January 2017

Multi-gluon helicity amplitudes with one off-shell leg within high energy factorization journal, December 2012

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order journal, December 2016

Wilson lines and gauge invariant off-shell amplitudes journal, July 2014

Helicity amplitudes for high-energy scattering text, January 2012

BCFW recursion for TMD parton scattering journal, July 2015

Unitarity at small Bjorken x journal, June 2002

Unitarity and the BFKL Pomeron text, January 1994

Relation of parton distribution functions in the Drell-Yan process to deeply inelastic scattering journal, June 1983

QCD Reggeon calculus from KLWMIJ/JIMWLK evolution: vertices, reggeization and all journal, September 2013

Forward trijet production in proton–nucleus collisions journal, May 2019

BCFW recursion for off-shell gluons journal, July 2014

Connection between complete and Möbius forms of gauge invariant operators journal, March 2012

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC text, January 2017

Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks journal, December 1977

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order text, January 2016

Asymptotic freedom in parton language journal, August 1977

The dipole form of the gluon part of the BFKL kernel journal, November 2007

Soft gluons in the infinite-momentum wave function and the BFKL pomeron journal, March 1994

Rapidity evolution of gluon TMD from low to moderate x journal, October 2015

Operator expansion for high-energy scattering journal, March 1996

Factorization for High-Energy Scattering journal, September 1998

Factorization and high-energy effective action journal, June 1999

Computing quark and gluon distribution functions for very large nuclei journal, March 1994

Gluon distribution functions for very large nuclei at small transverse momentum journal, April 1994

Green’s function in the color field of a large nucleus journal, August 1994

The BFKL equation from the Wilson renormalization group journal, October 1997

Wilson renormalization group for low x physics: Towards the high density regime journal, November 1998

Wilson renormalization group for low x physics: Gluon evolution at finite parton density journal, November 1998

Vector potential versus color charge density in low- x evolution journal, December 1999

Relating different approaches to nonlinear QCD evolution at finite gluon density journal, October 2000

Nonlinear gluon evolution in the color glass condensate: I journal, September 2001

Nonlinear gluon evolution in the color glass condensate: II journal, May 2002

Small- x F 2 structure function of a nucleus including multiple Pomeron exchanges journal, June 1999

Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes journal, August 1994

The dipole form of the quark part of the BFKL kernel journal, April 2007

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering journal, March 2002

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering journal, May 2002

Final state interactions and gauge invariant parton distributions journal, April 2003

Gauge link structure in quark–quark correlators in hard processes journal, August 2004

Color gauge invariance in the Drell–Yan process journal, March 2000

The construction of gauge-links in arbitrary hard processes journal, May 2006

cos ( 4 φ ) azimuthal anisotropy in small- x DIS dijet production beyond the leading power TMD limit journal, July 2016

Saturation effects in deep inelastic scattering at low Q 2 and its implications on diffraction journal, November 1998

Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework journal, December 2016

The color glass condensate and hadron production in the forward region journal, February 2006

Feynman rules for effective Regge action journal, August 2005

TMD gluon distributions at small x in the CGC theory
journal, May 2018

TMD gluon distributions at small x in the CGC theory
text, January 2018

Multi-Parton Amplitudes in Gauge Theories
text, January 2005

Forward jet production at the Large Hadron Collider
journal, September 2009

BCFW recursion for TMD parton scattering
text, January 2015

Next-to-next-to-eikonal corrections in the CGC
journal, January 2016

Towards the Test of Saturation Physics Beyond Leading Logarithm
text, January 2013

When does the gluon reggeize?
journal, May 2015

Suppression of maximal linear gluon polarization in angular asymmetries
journal, October 2017

Small-x behavior and parton saturation: A QCD model
journal, April 1990

Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
journal, September 2015

TMD gluon distributions for multiparton processes
journal, February 2019

Towards the Test of Saturation Physics Beyond Leading Logarithm
journal, January 2014

Helicity amplitudes for high-energy scattering
journal, January 2013

TMD gluon distributions for multiparton processes
text, January 2018

Multi-parton amplitudes in gauge theories
journal, February 1991

Transverse-momentum-dependent gluon distributions from JIMWLK evolution
journal, October 2016

Suppression of maximal linear gluon polarization in angular asymmetries
text, January 2017

Higher-twist corrections to gluon TMD factorization
journal, July 2017

BCFW recursion for off-shell gluons
text, January 2014

Unitarity and the BFKL pomeron
journal, March 1995

Sub-eikonal corrections to scattering amplitudes at high energy
text, January 2019

Evolution equations for QCD string operators
journal, January 1989

Sub-eikonal corrections to scattering amplitudes at high energy
journal, January 2019

One-Loop Factorization for Inclusive Hadron Production in $p − A$ Collisions in the Saturation Formalism
journal, March 2012

Forward trijet production in proton-nucleus collisions
text, January 2018

Soft photon and two hard jets forward production in proton-nucleus collisions
journal, April 2018

The dipole picture of high energy scattering, the BFKL equation and many gluon compound states
journal, October 1995

Gluon TMD in particle production from low to moderate x
journal, June 2016

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
journal, May 2017

Higher-twist corrections to gluon TMD factorization
text, January 2017

Multi-gluon helicity amplitudes with one off-shell leg within high energy factorization
journal, December 2012

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
journal, December 2016

Wilson lines and gauge invariant off-shell amplitudes
journal, July 2014

Helicity amplitudes for high-energy scattering
text, January 2012

BCFW recursion for TMD parton scattering
journal, July 2015

Unitarity at small Bjorken x
journal, June 2002

Unitarity and the BFKL Pomeron
text, January 1994

Relation of parton distribution functions in the Drell-Yan process to deeply inelastic scattering
journal, June 1983

QCD Reggeon calculus from KLWMIJ/JIMWLK evolution: vertices, reggeization and all
journal, September 2013

Forward trijet production in proton–nucleus collisions
journal, May 2019

BCFW recursion for off-shell gluons
journal, July 2014

Connection between complete and Möbius forms of gauge invariant operators
journal, March 2012

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
text, January 2017

Sum rules for spin-dependent electroproduction- test of relativistic constituent quarks
journal, December 1977

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
text, January 2016

Asymptotic freedom in parton language
journal, August 1977

The dipole form of the gluon part of the BFKL kernel
journal, November 2007

Soft gluons in the infinite-momentum wave function and the BFKL pomeron
journal, March 1994

Rapidity evolution of gluon TMD from low to moderate x
journal, October 2015

Operator expansion for high-energy scattering
journal, March 1996

Factorization for High-Energy Scattering
journal, September 1998

Factorization and high-energy effective action
journal, June 1999

Computing quark and gluon distribution functions for very large nuclei
journal, March 1994

Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994

Green’s function in the color field of a large nucleus
journal, August 1994

The BFKL equation from the Wilson renormalization group
journal, October 1997

Wilson renormalization group for low x physics: Towards the high density regime
journal, November 1998

Wilson renormalization group for low x physics: Gluon evolution at finite parton density
journal, November 1998

Vector potential versus color charge density in low- $x$ evolution
journal, December 1999

Relating different approaches to nonlinear QCD evolution at finite gluon density
journal, October 2000

Nonlinear gluon evolution in the color glass condensate: I
journal, September 2001

Nonlinear gluon evolution in the color glass condensate: II
journal, May 2002

Small- x $F_{2}$ structure function of a nucleus including multiple Pomeron exchanges
journal, June 1999

Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes
journal, August 1994

The dipole form of the quark part of the BFKL kernel
journal, April 2007

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002

Final state interactions and gauge invariant parton distributions
journal, April 2003

Gauge link structure in quark–quark correlators in hard processes
journal, August 2004

Color gauge invariance in the Drell–Yan process
journal, March 2000

The construction of gauge-links in arbitrary hard processes
journal, May 2006

$\cos (4 φ)$ azimuthal anisotropy in small- $x$ DIS dijet production beyond the leading power TMD limit
journal, July 2016

Saturation effects in deep inelastic scattering at low $Q^{2}$ and its implications on diffraction
journal, November 1998

Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
journal, December 2016

The color glass condensate and hadron production in the forward region
journal, February 2006

Feynman rules for effective Regge action
journal, August 2005

Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
journal, July 2014

Helicity evolution at small x
journal, January 2016

Low $x$ physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
text, January 2019