Rapidity evolution of TMDs with running coupling

Balitsky, Ian; Chirilli, Giovanni A.

doi:10.1103/PhysRevD.106.034007

Title: Rapidity evolution of TMDs with running coupling

Abstract

The scale of a coupling constant for rapidity-only evolution of transverse-momentum dependent (TMD) operators in the Sudakov kinematic region is calculated using the Brodsky-Lepage-Mackenzie optimal scale setting [S. J. Brodsky et al., Phys. Rev. D 28, 228 (1983).]. The effective argument of a coupling constant is halfway in the logarithmical scale between the transverse momentum and energy of TMD distribution. The resulting rapidity-only evolution equation is solved for quark and gluon TMDs.

Authors:: Balitsky, Ian; Chirilli, Giovanni A.

Publication Date:: Thu Aug 04 00:00:00 EDT 2022

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

OSTI Identifier:: 1879920

Alternate Identifier(s):: OSTI ID: 1880018

Report Number(s):: JLAB-THY-22-3614; DOE/OR/23177-5489; arXiv:2205.03119
Journal ID: ISSN 2470-0010; PRVDAQ; 034007

Grant/Contract Number:: AC05-06OR2317; FG02-97ER41028; AC05-06OR23177

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 106 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Balitsky, Ian, and Chirilli, Giovanni A. Rapidity evolution of TMDs with running coupling.  United States: N. p., 2022. 
Web.  doi:10.1103/PhysRevD.106.034007.

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                    Balitsky, Ian, & Chirilli, Giovanni A. Rapidity evolution of TMDs with running coupling.  United States.  https://doi.org/10.1103/PhysRevD.106.034007

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                    Balitsky, Ian, and Chirilli, Giovanni A. Thu .  
"Rapidity evolution of TMDs with running coupling".  United States.  https://doi.org/10.1103/PhysRevD.106.034007.

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@article{osti_1879920,

  title        = {Rapidity evolution of TMDs with running coupling},

  author       = {Balitsky, Ian and Chirilli, Giovanni A.},

  abstractNote = {The scale of a coupling constant for rapidity-only evolution of transverse-momentum dependent (TMD) operators in the Sudakov kinematic region is calculated using the Brodsky-Lepage-Mackenzie optimal scale setting [S. J. Brodsky et al., Phys. Rev. D 28, 228 (1983).]. The effective argument of a coupling constant is halfway in the logarithmical scale between the transverse momentum and energy of TMD distribution. The resulting rapidity-only evolution equation is solved for quark and gluon TMDs.},

  doi          = {10.1103/PhysRevD.106.034007},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 106,

  place        = {United States},

  year         = {Thu Aug 04 00:00:00 EDT 2022},

  month        = {Thu Aug 04 00:00:00 EDT 2022}

}

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Works referenced in this record:

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Title: Rapidity evolution of TMDs with running coupling

Abstract

Citation Formats

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

Quark contribution to the small- x evolution of color dipole journal, January 2007

Calculation of the transverse parton distribution functions at next-to-next-to-leading order journal, June 2014

An exponential regulator for rapidity divergences journal, November 2020

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QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum journal, February 2005

Triumvirate of running couplings in small-x evolution journal, March 2007

Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order journal, July 2018

Foundations of Perturbative QCD book, May 2011

Next-to-leading order evolution of color dipoles journal, January 2008

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Twist-2 matching of transverse momentum dependent distributions journal, June 2017

The QCD Pomeron with optimal renormalization journal, August 1999

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Transverse momentum distribution in Drell-Yan pair and W and Z boson production journal, January 1985

Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel journal, April 2015

Connecting different TMD factorization formalisms in QCD journal, September 2017

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

On the elimination of scale ambiguities in perturbative quantum chromodynamics journal, July 1983

Power corrections to TMD factorization for Z-boson production journal, May 2018

Evolution equations for QCD string operators journal, January 1989

Sudakov Resummation in the Small- x Saturation Formalism journal, February 2013

Erratum: Transverse momentum dependent fragmentation function at next-to–next-to–leading order [Phys. Rev. D 93 , 011502(R) (2016)] journal, November 2016

Parton distribution and decay functions journal, January 1982

Sudakov double logarithms resummation in hard processes in the small- x saturation formalism journal, December 2013

Transverse momentum dependence in gluon distribution and fragmentation functions journal, April 2001

Transverse momentum dependent fragmentation function at next-to–next-to–leading order journal, January 2016

Naive nonabelianization and resummation of fermion bubble chains journal, April 1995

Gluon TMD in particle production from low to moderate x
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Quark contribution to the small- $x$ evolution of color dipole
journal, January 2007

Calculation of the transverse parton distribution functions at next-to-next-to-leading order
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An exponential regulator for rapidity divergences
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Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone
journal, July 2012

Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution
journal, September 2019

QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005

Triumvirate of running couplings in small-x evolution
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Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
journal, July 2018

Foundations of Perturbative QCD
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journal, January 2008

Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small x
journal, May 2021

Twist-2 matching of transverse momentum dependent distributions
journal, June 2017

The QCD Pomeron with optimal renormalization
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Higher-twist corrections to gluon TMD factorization
journal, July 2017

Transverse momentum distribution in Drell-Yan pair and W and Z boson production
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Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
journal, April 2015

Connecting different TMD factorization formalisms in QCD
journal, September 2017

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