Helicity evolution at small x

Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D.

doi:10.1007/JHEP01(2016)072

Title: Helicity evolution at small x

Abstract

Here, we construct small-x evolution equations which can be used to calculate quark and anti-quark helicity TMDs and PDFs, along with the g₁ structure function. These evolution equations resum powers of α_s ln²(1/x) in the polarization-dependent evolution along with the powers of α_s ln(1/x) in the unpolarized evolution which includes saturation effects. Moreover, the equations are written in an operator form in terms of polarization-dependent Wilson line-like operators. While the equations do not close in general, they become closed and self-contained systems of non-linear equations in the large-N_c and large-N_c & N_f limits. Finally, as a cross-check, in the ladder approximation, our equations map onto the same ladder limit of the infrared evolution equations for the g₁ structure function derived previously by Bartels, Ermolaev and Ryskin.

Authors:

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

The Ohio State Univ., Columbus, OH (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Wed Jan 13 00:00:00 EST 2016

Research Org.:: The Ohio State Univ., Columbus, OH (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)

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

OSTI Identifier:: 1604443

Alternate Identifier(s):: OSTI ID: 1295201

Report Number(s):: BNL-112209-2016-JA; BNL-111624-2015-JA
Journal ID: ISSN 1029-8479; TRN: US2104246

Grant/Contract Number:: SC0004286; SC00112704

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: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Resummation; Perturbative QCD; resummation; perturbative QCD

Citation Formats


                    Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Helicity evolution at small x.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP01(2016)072.

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                    Kovchegov, Yuri V., Pitonyak, Daniel, & Sievert, Matthew D. Helicity evolution at small x.  United States.  https://doi.org/10.1007/JHEP01(2016)072

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                    Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Wed .  
"Helicity evolution at small x".  United States.  https://doi.org/10.1007/JHEP01(2016)072.  https://www.osti.gov/servlets/purl/1604443.

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@article{osti_1604443,

  title        = {Helicity evolution at small x},

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

  abstractNote = {Here, we construct small-x evolution equations which can be used to calculate quark and anti-quark helicity TMDs and PDFs, along with the g1 structure function. These evolution equations resum powers of αs ln2(1/x) in the polarization-dependent evolution along with the powers of αs ln(1/x) in the unpolarized evolution which includes saturation effects. Moreover, the equations are written in an operator form in terms of polarization-dependent Wilson line-like operators. While the equations do not close in general, they become closed and self-contained systems of non-linear equations in the large-Nc and large-Nc & Nf limits. Finally, as a cross-check, in the ladder approximation, our equations map onto the same ladder limit of the infrared evolution equations for the g1 structure function derived previously by Bartels, Ermolaev and Ryskin.},

  doi          = {10.1007/JHEP01(2016)072},

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

  number       = 1,

  volume       = 2016,

  place        = {United States},

  year         = {Wed Jan 13 00:00:00 EST 2016},

  month        = {Wed Jan 13 00:00:00 EST 2016}

}

Copy to clipboard

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Works referenced in this record:

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Jalilianmarian, J.; Kovchegov, Y.
Progress in Particle and Nuclear Physics, Vol. 56, Issue 1
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Brodsky, S.
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Kabuss, Eva-Maria
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Non-eikonal corrections to multi-particle production in the color glass condensate
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Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
The European Physical Journal C, Vol. 79, Issue 7
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The spin structure of the nucleon
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Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
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Helicity-dependent generalization of the JIMWLK evolution
text, January 2019

Cougoulic, Florian; Kovchegov, Yuri V.
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Similar Records

Title: Helicity evolution at small x

Abstract

Citation Formats

Saturation physics and deuteron–gold collisions at RHIC journal, January 2006

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

Studying the perturbative Reggeon journal, January 2000

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

Semihard processes in QCD journal, November 1983

The Color Glass Condensate journal, November 2010

Gluon saturation and initial conditions for relativistic heavy ion collisions journal, May 2014

Evolution at small : The color glass condensate journal, October 2005

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

Subleading- corrections in non-linear small-x evolution journal, May 2009

Operator expansion for high-energy scattering journal, March 1996

An investigation of the spin structure of the proton in deep inelastic scattering of polarised muons on polarised protons journal, December 1989

Gauge-Invariant Decomposition of Nucleon Spin journal, January 1997

New mechanism for generating a single transverse spin asymmetry journal, August 2012

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

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

Evolution of Gluon TMD at Low and Moderate x journal, January 2015

Unitarity and the BFKL pomeron journal, March 1995

Universal features of JIMWLK and BK evolution at small x journal, July 2004

A measurement of the spin asymmetry and determination of the structure function g1 in deep inelastic muon-proton scattering journal, May 1988

Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions journal, July 2014

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

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

Baryon stopping and valence quark distribution at small x journal, January 2004

Back-to-back jets in QCD journal, December 1981

Quantum Chromodynamics at High Energy book, September 2012

Quantum chromodynamics and other field theories on the light cone journal, August 1998

The renormalization group equation for the color glass condensate journal, June 2001

Unitarity at small Bjorken x journal, June 2002

Proton Spin Structure from Measurable Parton Distributions journal, October 2012

Factorization Of Hard Processes In QCD book, July 1989

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

Gluon recombination and shadowing at small values of x journal, May 1986

The saturation scale and its x-dependence from Λ polarization studies journal, January 2009

A two-dimensional model for mesons journal, June 1974

Polarized hyperons from pA scattering in the gluon saturation regime journal, March 2003

Asymptotic freedom in parton language journal, August 1977

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

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

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

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

The spin structure of the nucleon journal, January 2005

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

The spin structure of the nucleon journal, June 2019

The spin structure of the nucleon journal, January 1994

The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course conference, April 2017

Single Spin Asymmetry in Forward $pA$ Collisions text, January 2016

Gluon and Wilson loop TMDs for hadrons of spin $\leq$ 1 text, January 2016

Non-eikonal corrections to multi-particle production in the Color Glass Condensate text, January 2019

Helicity-dependent generalization of the JIMWLK evolution text, January 2019

Saturation physics and deuteron–gold collisions at RHIC
journal, January 2006

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

Studying the perturbative Reggeon
journal, January 2000

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

Semihard processes in QCD
journal, November 1983

The Color Glass Condensate
journal, November 2010

Gluon saturation and initial conditions for relativistic heavy ion collisions
journal, May 2014

Evolution at small : The color glass condensate
journal, October 2005

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

Subleading- corrections in non-linear small-x evolution
journal, May 2009

Operator expansion for high-energy scattering
journal, March 1996

An investigation of the spin structure of the proton in deep inelastic scattering of polarised muons on polarised protons
journal, December 1989

Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997

New mechanism for generating a single transverse spin asymmetry
journal, August 2012

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

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

Evolution of Gluon TMD at Low and Moderate x
journal, January 2015

Unitarity and the BFKL pomeron
journal, March 1995

Universal features of JIMWLK and BK evolution at small x
journal, July 2004

A measurement of the spin asymmetry and determination of the structure function g1 in deep inelastic muon-proton scattering
journal, May 1988

Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
journal, July 2014

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

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

Baryon stopping and valence quark distribution at small x
journal, January 2004

Back-to-back jets in QCD
journal, December 1981

Quantum Chromodynamics at High Energy
book, September 2012

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

The renormalization group equation for the color glass condensate
journal, June 2001

Unitarity at small Bjorken x
journal, June 2002

Proton Spin Structure from Measurable Parton Distributions
journal, October 2012

Factorization Of Hard Processes In QCD
book, July 1989

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

Gluon recombination and shadowing at small values of x
journal, May 1986

The saturation scale and its x-dependence from Λ polarization studies
journal, January 2009

A two-dimensional model for mesons
journal, June 1974

Polarized hyperons from pA scattering in the gluon saturation regime
journal, March 2003

Asymptotic freedom in parton language
journal, August 1977

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

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

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

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

The spin structure of the nucleon
journal, January 2005

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

The spin structure of the nucleon
journal, June 2019

The spin structure of the nucleon
journal, January 1994

The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course
conference, April 2017

Single Spin Asymmetry in Forward $pA$ Collisions
text, January 2016

Gluon and Wilson loop TMDs for hadrons of spin $\leq$ 1
text, January 2016

Non-eikonal corrections to multi-particle production in the Color Glass Condensate
text, January 2019

Helicity-dependent generalization of the JIMWLK evolution
text, January 2019