Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution

doi:10.1103/PhysRevD.100.051504

Title: Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution

Abstract

We discuss conformal properties of TMD operators and present the result of the conformal rapidity evolution of TMD operators in the Sudakov region.

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

Publication Date:: 2019-09-20

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:: 1563035

Alternate Identifier(s):: OSTI ID: 1567054

Report Number(s):: JLAB-THY-19-2940; DOE/OR/23177-4682; arXiv:1905.09144
Journal ID: ISSN 2470-0010; PRVDAQ; 051504

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

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 5; 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. Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution.  United States: N. p., 2019. 
        Web.  doi:10.1103/PhysRevD.100.051504.

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                    Balitsky, Ian, & Chirilli, Giovanni A. Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution.  United States.  doi:10.1103/PhysRevD.100.051504.

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                    Balitsky, Ian, and Chirilli, Giovanni A. Fri .  
        "Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution".  United States.  doi:10.1103/PhysRevD.100.051504.

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@article{osti_1563035,

  title        = {Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution},

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

  abstractNote = {We discuss conformal properties of TMD operators and present the result of the conformal rapidity evolution of TMD operators in the Sudakov region.},

  doi          = {10.1103/PhysRevD.100.051504},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {9}

}

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DOI: 10.1103/PhysRevD.100.051504

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Cited by: 1 work

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FIG. 1: Typical diagrams for production (a) and virtual (b) contributions to the evolution kernel. The dashed lines denote gauge links.

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Works referenced in this record:

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FIG. 1 (p. 3)

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Title: Conformal invariance of transverse-momentum dependent parton distributions rapidity evolution

Abstract

Citation Formats

Figures / Tables:

Finite-component field representations of the conformal group journal, June 1969

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

Structure of rapidity divergences in multi-parton scattering soft factors journal, April 2018

On the small-x evolution of the color quadrupole and the Weizsäcker–Williams gluon distribution journal, November 2011

Universal transverse momentum dependent soft function at NNLO journal, March 2016

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

Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order journal, September 2016

Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target journal, September 2013

Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone journal, July 2012

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

Systematic analysis of double-scale evolution journal, August 2018

Small-x physics in perturbative QCD journal, July 1997

Generalized parton correlation functions for a spin-1/2 hadron journal, August 2009

Correspondence between Soft and Rapidity Anomalous Dimensions journal, February 2017

Operator expansion for high-energy scattering journal, March 1996

Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution journal, June 2011

Wave Equations in Conformal Space journal, April 1936

Unitarization of the BFKL Pomeron on a nucleus journal, March 2000

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

Proper definition and evolution of generalized transverse momentum dependent distributions journal, August 2016

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

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

An effective field theory for forward scattering and factorization violation journal, August 2016

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

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

Tensor representations of conformal algebra and conformally covariant operator product expansion journal, March 1973

Factorization and high-energy effective action journal, June 1999

Parton distribution and decay functions journal, January 1982

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

Rapidity renormalized TMD soft and beam functions at two loops journal, March 2016

Finite-component field representations of the conformal group
journal, June 1969

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

Structure of rapidity divergences in multi-parton scattering soft factors
journal, April 2018

On the small-x evolution of the color quadrupole and the Weizsäcker–Williams gluon distribution
journal, November 2011

Universal transverse momentum dependent soft function at NNLO
journal, March 2016

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

Unpolarized transverse momentum dependent parton distribution and fragmentation functions at next-to-next-to-leading order
journal, September 2016

Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
journal, September 2013

Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone
journal, July 2012

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

Systematic analysis of double-scale evolution
journal, August 2018

Small-x physics in perturbative QCD
journal, July 1997

Generalized parton correlation functions for a spin-1/2 hadron
journal, August 2009

Correspondence between Soft and Rapidity Anomalous Dimensions
journal, February 2017

Operator expansion for high-energy scattering
journal, March 1996

Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution
journal, June 2011

Wave Equations in Conformal Space
journal, April 1936

Unitarization of the BFKL Pomeron on a nucleus
journal, March 2000

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

Proper definition and evolution of generalized transverse momentum dependent distributions
journal, August 2016

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

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

An effective field theory for forward scattering and factorization violation
journal, August 2016

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

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

Tensor representations of conformal algebra and conformally covariant operator product expansion
journal, March 1973

Factorization and high-energy effective action
journal, June 1999

Parton distribution and decay functions
journal, January 1982

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

Rapidity renormalized TMD soft and beam functions at two loops
journal, March 2016