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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 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

Authors:
 [1];  [2]; ORCiD logo [3]
  1. National Centre for Nuclear Research, Warsaw (Poland)
  2. Brookhaven National Laboratory (BNL), Upton, NY (United States); Polish Academy of Sciences (PAS), Krakow (Poland)
  3. Polish Academy of Sciences (PAS), Krakow (Poland)
Publication Date:
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.
Altinoluk, Tolga, Boussarie, Renaud, & Kotko, Piotr. Interplay of the CGC and TMD frameworks to all orders in kinematic twist. United States. doi:10.1007/JHEP05(2019)156.
Altinoluk, Tolga, Boussarie, Renaud, and Kotko, Piotr. Fri . "Interplay of the CGC and TMD frameworks to all orders in kinematic twist". United States. doi:10.1007/JHEP05(2019)156. https://www.osti.gov/servlets/purl/1530525.
@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}
}

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Cited by: 3 works
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Works referenced in this record:

Asymptotic freedom in parton language
journal, August 1977


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


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


Unitarity and the BFKL pomeron
journal, March 1995


Unitarity at small Bjorken x
journal, June 2002


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


When does the gluon reggeize?
journal, May 2015


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


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


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


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
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

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


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

Evolution equations for QCD string operators
journal, January 1989


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


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

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


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


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

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

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


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

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

BCFW recursion for off-shell gluons
journal, July 2014


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

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


Multi-parton amplitudes in gauge theories
journal, February 1991


TMD gluon distributions for multiparton processes
journal, February 2019


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


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


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


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

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


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


    Works referencing / citing this record:

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

    • Altinoluk, Taiga; Boussarie, Renaud
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)208