Helicity evolution at small x: Flavor singlet and nonsinglet observables

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

doi:10.1103/PhysRevD.95.014033

Title: Helicity evolution at small $x$ : Flavor singlet and nonsinglet observables

Abstract

We extend our earlier results for the quark helicity evolution at small x to derive the small-x asymptotics of the flavor singlet and flavor nonsinglet quark helicity TMDs and PDFs and of the g₁ structure function. In the flavor singlet case we rederive the evolution equations obtained in our previous paper on the subject, performing additional cross-checks of our results. In the flavor nonsinglet case we construct new small-x evolution equations by employing the large-N_c limit. Here, all evolution equations resum double-logarithmic powers of α_sln²(1/x) in the polarization-dependent evolution along with the single-logarithmic powers of α_sln(1/x) in the unpolarized evolution which includes saturation effects.

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); Brookhaven National Lab. (BNL), Upton, NY (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Mon Jan 30 00:00:00 EST 2017

Research Org.:: Los Alamos National Laboratory (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:: 1344365

Alternate Identifier(s):: OSTI ID: 1341925; OSTI ID: 1604438

Report Number(s):: LA-UR-16-27996
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1700913

Grant/Contract Number:: AC52-06NA25396; SC0004286; SC0012704

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 95; Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

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. Helicity evolution at small x: Flavor singlet and nonsinglet observables.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.95.014033.

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                    Kovchegov, Yuri V., Pitonyak, Daniel, & Sievert, Matthew D. Helicity evolution at small x: Flavor singlet and nonsinglet observables.  United States.  https://doi.org/10.1103/PhysRevD.95.014033

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                    Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Mon .  
"Helicity evolution at small x: Flavor singlet and nonsinglet observables".  United States.  https://doi.org/10.1103/PhysRevD.95.014033.  https://www.osti.gov/servlets/purl/1344365.

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@article{osti_1344365,

  title        = {Helicity evolution at small x: Flavor singlet and nonsinglet observables},

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

  abstractNote = {We extend our earlier results for the quark helicity evolution at small x to derive the small-x asymptotics of the flavor singlet and flavor nonsinglet quark helicity TMDs and PDFs and of the g1 structure function. In the flavor singlet case we rederive the evolution equations obtained in our previous paper on the subject, performing additional cross-checks of our results. In the flavor nonsinglet case we construct new small-x evolution equations by employing the large-Nc limit. Here, all evolution equations resum double-logarithmic powers of αsln2(1/x) in the polarization-dependent evolution along with the single-logarithmic powers of αsln(1/x) in the unpolarized evolution which includes saturation effects.},

  doi          = {10.1103/PhysRevD.95.014033},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 95,

  place        = {United States},

  year         = {Mon Jan 30 00:00:00 EST 2017},

  month        = {Mon Jan 30 00:00:00 EST 2017}

}

Copy to clipboard

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Works referencing / citing this record:

The spin structure of the nucleon
journal, June 2019

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
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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
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Helicity-dependent generalization of the JIMWLK evolution
text, January 2019

Cougoulic, Florian; Kovchegov, Yuri V.
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Title: Helicity evolution at small x : Flavor singlet and nonsinglet observables

Abstract

Citation Formats

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

The three-loop splitting functions in QCD: The helicity-dependent case journal, December 2014

Neutron spin-dependent structure function, Bjorken sum rule, and first evidence for singlet contribution at low x journal, August 1997

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

Extraction of spin-dependent parton densities and their uncertainties journal, August 2009

Flavor singlet contribution to the structure functiong 1 at small-x journal, December 1996

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

Studying the perturbative Reggeon journal, January 2000

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

Unveiling the proton spin decomposition at a future electron-ion collider journal, November 2015

Classical gluon production amplitude for nucleus-nucleus collisions: First saturation correction in the projectile journal, March 2015

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

Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept journal, June 2007

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

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

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

Wilson renormalization group for low x physics: Towards the high density regime journal, November 1998

On the behaviour of non-singlet structure functions at small x journal, March 1996

Green’s function in the color field of a large nucleus journal, August 1994

HERA-data in the light of small x evolution with state of the art NLO input journal, February 2012

Quantum Electrodynamics at Infinite Momentum: Scattering from an External Field journal, March 1971

Unitarity and the BFKL pomeron journal, March 1995

Fock space distributions, structure functions, higher twists, and small x journal, March 1999

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

The calculation of the two-loop spin splitting functions P (1) ij ( x ) journal, May 1996

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

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

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

QCD analysis of polarized deep-inelastic scattering data and parton distributions journal, August 2002

Exclusive processes in perturbative quantum chromodynamics journal, November 1980

Perturbative odderon in the dipole model journal, April 2004

Quantum Chromodynamics at High Energy book, September 2012

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

The singlet contribution to the structure function g1(x,Q2) at small x journal, October 1996

Does leading $\ln x$ resummation predict the rise of $g_1$ at small $x$ ? journal, May 1997

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

Unitarity at small Bjorken x journal, June 2002

Overview of the spin structure function g1 at arbitrary x and Q2 journal, April 2010

Reggeon interactions in perturbative QCD journal, September 1995

Regge asymptotics of scattering with flavour exchange in QCD journal, September 1995

Regge asymptotics of scattering amplitudes in the logarithmic approximation of QCD journal, March 1986

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

The color glass condensate and high energy scattering in QCD book, January 2004

Asymptotic freedom in parton language journal, August 1977

Wilson renormalization group for low x physics: Gluon evolution at finite parton density journal, November 1998

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

Colour transparency and scaling properties of nuclear shadowing in deep inelastic scattering journal, December 1991

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

Odderon in the color glass condensate journal, October 2005

Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling? journal, August 2009

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

Helicity evolution at small x journal, January 2016

Factorization and high-energy effective action journal, June 1999

Gluon distribution functions for very large nuclei at small transverse momentum journal, April 1994

The spin structure of the nucleon journal, June 2019

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

The spin structure of the nucleon journal, January 2005

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

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

Title: Helicity evolution at small $x$ : Flavor singlet and nonsinglet observables

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

The three-loop splitting functions in QCD: The helicity-dependent case
journal, December 2014

Neutron spin-dependent structure function, Bjorken sum rule, and first evidence for singlet contribution at low $x$
journal, August 1997

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

Extraction of spin-dependent parton densities and their uncertainties
journal, August 2009

Flavor singlet contribution to the structure functiong 1 at small-x
journal, December 1996

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

Studying the perturbative Reggeon
journal, January 2000

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

Unveiling the proton spin decomposition at a future electron-ion collider
journal, November 2015

Classical gluon production amplitude for nucleus-nucleus collisions: First saturation correction in the projectile
journal, March 2015

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

Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept
journal, June 2007

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

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

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

Wilson renormalization group for low x physics: Towards the high density regime
journal, November 1998

On the behaviour of non-singlet structure functions at small x
journal, March 1996

Green’s function in the color field of a large nucleus
journal, August 1994

HERA-data in the light of small x evolution with state of the art NLO input
journal, February 2012

Quantum Electrodynamics at Infinite Momentum: Scattering from an External Field
journal, March 1971

Unitarity and the BFKL pomeron
journal, March 1995

Fock space distributions, structure functions, higher twists, and small x
journal, March 1999

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

The calculation of the two-loop spin splitting functions P (1) ij ( x )
journal, May 1996

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

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

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

QCD analysis of polarized deep-inelastic scattering data and parton distributions
journal, August 2002

Exclusive processes in perturbative quantum chromodynamics
journal, November 1980

Perturbative odderon in the dipole model
journal, April 2004

Quantum Chromodynamics at High Energy
book, September 2012

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

The singlet contribution to the structure function g1(x,Q2) at small x
journal, October 1996

Does leading $\ln x$ resummation predict the rise of $g_1$ at small $x$ ?
journal, May 1997

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

Unitarity at small Bjorken x
journal, June 2002

Overview of the spin structure function _g1 at arbitrary _x and _Q²
journal, April 2010

Reggeon interactions in perturbative QCD
journal, September 1995

Regge asymptotics of scattering with flavour exchange in QCD
journal, September 1995

Regge asymptotics of scattering amplitudes in the logarithmic approximation of QCD
journal, March 1986

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

The color glass condensate and high energy scattering in QCD
book, January 2004

Asymptotic freedom in parton language
journal, August 1977

Wilson renormalization group for low x physics: Gluon evolution at finite parton density
journal, November 1998

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

Colour transparency and scaling properties of nuclear shadowing in deep inelastic scattering
journal, December 1991

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

Odderon in the color glass condensate
journal, October 2005

Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling?
journal, August 2009

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

Helicity evolution at small x
journal, January 2016

Factorization and high-energy effective action
journal, June 1999

Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994

The spin structure of the nucleon
journal, June 2019

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

The spin structure of the nucleon
journal, January 2005

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

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