DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Journal of High Energy Physics (Online)
 [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)

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

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704
OSTI ID:
1530525
Report Number(s):
BNL-211821-2019-JAAM
Journal Information:
Journal of High Energy Physics (Online), Vol. 2019, Issue 5; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 40 works
Citation information provided by
Web of Science

References (77)

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
Foundations of Perturbative QCD book May 2011
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
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
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
k t Factorization for Hard Processes in Nuclei journal January 2011
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

Cited By (1)


Similar Records

Comparison of improved TMD and CGC frameworks in forward quark dijet production
Journal Article · 2020 · Journal of High Energy Physics (Online) · OSTI ID:1763913

Low x physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
Journal Article · 2019 · Journal of High Energy Physics (Online) · OSTI ID:1574429

Photoproduction of three jets in the CGC: gluon TMDs and dilute limit
Journal Article · 2020 · Journal of High Energy Physics (Online) · OSTI ID:1658559