Small-x asymptotics of the gluon helicity distribution

doi:10.1007/JHEP10(2017)198

Title: Small-x asymptotics of the gluon helicity distribution

Abstract

Here, we determine the small-x asymptotics of the gluon helicity distribution in a proton at leading order in perturbative QCD at large N_c. To achieve this, we begin by evaluating the dipole gluon helicity TMD at small x. In the process we obtain an interesting new result: in contrast to the unpolarized dipole gluon TMD case, the operator governing the small-x behavior of the dipole gluon helicity TMD is different from the operator corresponding to the polarized dipole scattering amplitude (used in our previous work to determine the small-x asymptotics of the quark helicity distribution).

Authors:

Kovchegov, Yuri V. ^[1]; Pitonyak, Daniel ^[2];

^[3]

The Ohio State Univ., Columbus, OH (United States)
Penn State Univ.-Berks, Reading, PA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2017-10-27

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); The Ohio State Univ., Columbus, OH (United States)

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

OSTI Identifier:: 1411358

Alternate Identifier(s):: OSTI ID: 1604436

Report Number(s):: LA-UR-17-25006
Journal ID: ISSN 1029-8479; TRN: US1800223

Grant/Contract Number:: AC52-06NA25396; SC0004286

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: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics

Citation Formats


                    Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Small-x asymptotics of the gluon helicity distribution.  United States: N. p., 2017. 
        Web.  doi:10.1007/JHEP10(2017)198.

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                    Kovchegov, Yuri V., Pitonyak, Daniel, & Sievert, Matthew D. Small-x asymptotics of the gluon helicity distribution.  United States.  doi:10.1007/JHEP10(2017)198.

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                    Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Fri .  
        "Small-x asymptotics of the gluon helicity distribution".  United States.  doi:10.1007/JHEP10(2017)198.  https://www.osti.gov/servlets/purl/1411358.

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@article{osti_1411358,

  title        = {Small-x asymptotics of the gluon helicity distribution},

  author       = {Kovchegov, Yuri V. and Pitonyak, Daniel and Sievert, Matthew D.},

  abstractNote = {Here, we determine the small-x asymptotics of the gluon helicity distribution in a proton at leading order in perturbative QCD at large Nc. To achieve this, we begin by evaluating the dipole gluon helicity TMD at small x. In the process we obtain an interesting new result: in contrast to the unpolarized dipole gluon TMD case, the operator governing the small-x behavior of the dipole gluon helicity TMD is different from the operator corresponding to the polarized dipole scattering amplitude (used in our previous work to determine the small-x asymptotics of the quark helicity distribution).},

  doi          = {10.1007/JHEP10(2017)198},

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

  number       = 10,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {10}

}

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DOI: 10.1007/JHEP10(2017)198

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Works referenced in this record:

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Works referencing / citing this record:

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
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Non-eikonal corrections to multi-particle production in the color glass condensate
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Sub-eikonal corrections to scattering amplitudes at high energy
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Longitudinal double-spin asymmetry for inclusive jet and dijet production in $p p$ collisions at $\sqrt{s} = 510 GeV$
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Helicity-dependent generalization of the JIMWLK evolution
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Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/physrevd.100.114020

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Title: Small-x asymptotics of the gluon helicity distribution

Abstract

Citation Formats

The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction journal, February 1996

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

Running coupling and power corrections in non-linear evolution at the high-energy limit journal, March 2007

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

Double logarithmic asymptotics and regge singularities of quark amplitudes with flavour exchange journal, March 1983

Small- x Asymptotics of the Quark Helicity Distribution journal, January 2017

First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis journal, September 2017

Studying the perturbative Reggeon journal, January 2000

Running coupling effects for the singlet structure function g1 at small x journal, January 2004

QCD running coupling effects for the non-singlet structure function at small x journal, April 2000

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

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

Operator expansion for high-energy scattering journal, March 1996

Non-Abelian Weizsäcker-Williams field and a two-dimensional effective color charge density for a very large nucleus journal, November 1996

Gauge-Invariant Decomposition of Nucleon Spin journal, January 1997

Longitudinal polarized parton densities updated journal, February 2006

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

The g1 problem: Deep inelastic electron scattering and the spin of the proton journal, June 1990

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A first unbiased global determination of polarized PDFs and their uncertainties journal, October 2014

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Iterative Monte Carlo analysis of spin-dependent parton distributions journal, April 2016

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Quantum structure of the non-Abelian Weizsäcker-Williams field for a very large nucleus journal, May 1997

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

Calculating TMDs of a large nucleus: Quasi-classical approximation and quantum evolution journal, February 2016

Evidence for Polarization of Gluons in the Proton journal, July 2014

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

Small- x asymptotics of the quark helicity distribution: Analytic results journal, September 2017

Resumming double logarithms in the QCD evolution of color dipoles journal, May 2015

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Asymptotic freedom in parton language journal, August 1977

The angular momentum controversy: What’s it all about and does it matter? journal, August 2014

Inclusive cross section and double-helicity asymmetry for π 0 production at midrapidity in p + p collisions at s = 510 GeV journal, January 2016

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

AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks journal, July 2011

Precision Measurement of the Longitudinal Double-Spin Asymmetry for Inclusive Jet Production in Polarized Proton Collisions at s = 200 GeV journal, August 2015

Quark-antiquark exchange in γ* γ* scattering journal, September 2003

Intercepts of the non-singlet structure functions journal, January 2001

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

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all journal, September 2016

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

Helicity evolution at small x journal, January 2016

Factorization and high-energy effective action journal, June 1999

Non-eikonal corrections to multi-particle production in the color glass condensate journal, July 2019

Non-eikonal corrections to multi-particle production in the color glass condensate journal, July 2019

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

Longitudinal double-spin asymmetry for inclusive jet and dijet production in p p collisions at s = 510 GeV journal, September 2019

Helicity-dependent generalization of the JIMWLK evolution journal, December 2019

The complete tree-level result up to order 1/Q for polarized deep-inelastic leptoproduction
journal, February 1996

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

Running coupling and power corrections in non-linear evolution at the high-energy limit
journal, March 2007

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

Double logarithmic asymptotics and regge singularities of quark amplitudes with flavour exchange
journal, March 1983

Small- $x$ Asymptotics of the Quark Helicity Distribution
journal, January 2017

First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis
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Studying the perturbative Reggeon
journal, January 2000

Running coupling effects for the singlet structure function g1 at small x
journal, January 2004

QCD running coupling effects for the non-singlet structure function at small x
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Small-x behavior and parton saturation: A QCD model
journal, April 1990

Triumvirate of running couplings in small-x evolution
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Operator expansion for high-energy scattering
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Non-Abelian Weizsäcker-Williams field and a two-dimensional effective color charge density for a very large nucleus
journal, November 1996

Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997

Longitudinal polarized parton densities updated
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The construction of gauge-links in arbitrary hard processes
journal, May 2006

The g1 problem: Deep inelastic electron scattering and the spin of the proton
journal, June 1990

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journal, February 2012

A first unbiased global determination of polarized PDFs and their uncertainties
journal, October 2014

-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order
journal, November 2012

Iterative Monte Carlo analysis of spin-dependent parton distributions
journal, April 2016

Unitarity and the BFKL pomeron
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Quantum structure of the non-Abelian Weizsäcker-Williams field for a very large nucleus
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Transverse momentum dependence in gluon distribution and fragmentation functions
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Calculating TMDs of a large nucleus: Quasi-classical approximation and quantum evolution
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Evidence for Polarization of Gluons in the Proton
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journal, January 2004

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The renormalization group equation for the color glass condensate
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journal, October 2012

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Small- x asymptotics of the quark helicity distribution: Analytic results
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Resumming double logarithms in the QCD evolution of color dipoles
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Asymptotic freedom in parton language
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Inclusive cross section and double-helicity asymmetry for $π^{0}$ production at midrapidity in $p + p$ collisions at $\sqrt{s} = 510 GeV$
journal, January 2016

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

AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
journal, July 2011

Precision Measurement of the Longitudinal Double-Spin Asymmetry for Inclusive Jet Production in Polarized Proton Collisions at $\sqrt{s} = 200 GeV$
journal, August 2015

Quark-antiquark exchange in γ* γ* scattering
journal, September 2003

Intercepts of the non-singlet structure functions
journal, January 2001

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

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

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

Helicity evolution at small x
journal, January 2016

Factorization and high-energy effective action
journal, June 1999

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

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

Longitudinal double-spin asymmetry for inclusive jet and dijet production in $p p$ collisions at $\sqrt{s} = 510 GeV$
journal, September 2019

Helicity-dependent generalization of the JIMWLK evolution
journal, December 2019