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

Journal Article · Mon Jan 30 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.95.014033· OSTI ID:1344365

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)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

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

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

OSTI ID:: 1344365

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

Report Number(s):: LA-UR-16-27996; PRVDAQ; TRN: US1700913

Journal Information:: Physical Review D, Vol. 95, Issue 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 43 works

Citation information provided by
Web of Science

References (62)

Saturation physics and deuteron–gold collisions at RHIC Jalilianmarian, J.; Kovchegov, Y. Progress in Particle and Nuclear Physics, Vol. 56, Issue 1 https://doi.org/10.1016/j.ppnp.2005.07.002	journal	January 2006
The three-loop splitting functions in QCD: The helicity-dependent case Moch, S.; Vermaseren, J. A. M.; Vogt, A. Nuclear Physics B, Vol. 889 https://doi.org/10.1016/j.nuclphysb.2014.10.016	journal	December 2014
Neutron spin-dependent structure function, Bjorken sum rule, and first evidence for singlet contribution at low $x$ Soffer, J.; Teryaev, O. V. Physical Review D, Vol. 56, Issue 3 https://doi.org/10.1103/PhysRevD.56.1549	journal	August 1997
Quark contribution to the small- $x$ evolution of color dipole Balitsky, Ian Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014001	journal	January 2007
Extraction of spin-dependent parton densities and their uncertainties de Florian, Daniel; Sassot, Rodolfo; Stratmann, Marco Physical Review D, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevD.80.034030	journal	August 2009
Flavor singlet contribution to the structure functiong 1 at small-x Bartels, J.; Ermolaev, B. I.; Ryskin, M. G. Zeitschrift für Physik C: Particles and Fields, Vol. 72, Issue 4 https://doi.org/10.1007/s002880050285	journal	December 1996
Double logarithmic asymptotics and regge singularities of quark amplitudes with flavour exchange Kirschner, R.; Lipatov, L. N. Nuclear Physics B, Vol. 213, Issue 1 https://doi.org/10.1016/0550-3213(83)90178-5	journal	March 1983
Small- $x$ Asymptotics of the Quark Helicity Distribution Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D. Physical Review Letters, Vol. 118, Issue 5 https://doi.org/10.1103/PhysRevLett.118.052001	journal	January 2017
Studying the perturbative Reggeon Griffiths, S.; Ross, D. A. The European Physical Journal C, Vol. 12, Issue 2 https://doi.org/10.1007/s100529900240	journal	January 2000
Running coupling effects for the singlet structure function g1 at small x Ermolaev, B. I.; Greco, M.; Troyan, S. I. Physics Letters B, Vol. 579, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.11.016	journal	January 2004
Unveiling the proton spin decomposition at a future electron-ion collider Aschenauer, Elke C.; Sassot, Rodolfo; Stratmann, Marco Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094030	journal	November 2015
Classical gluon production amplitude for nucleus-nucleus collisions: First saturation correction in the projectile Chirilli, Giovanni A.; Kovchegov, Yuri V.; Wertepny, Douglas E. Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)015	journal	March 2015
Semihard processes in QCD Gribov, L. Physics Reports, Vol. 100, Issue 1-2 https://doi.org/10.1016/0370-1573(83)90022-4	journal	November 1983
The Color Glass Condensate Gelis, Francois; Iancu, Edmond; Jalilian-Marian, Jamal Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.010909.083629	journal	November 2010
Gluon saturation and initial conditions for relativistic heavy ion collisions Albacete, J. L.; Marquet, C. Progress in Particle and Nuclear Physics, Vol. 76 https://doi.org/10.1016/j.ppnp.2014.01.004	journal	May 2014
Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept Kovchegov, Yuri V.; Weigert, Heribert Nuclear Physics A, Vol. 789, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2007.03.008	journal	June 2007
QCD running coupling effects for the non-singlet structure function at small x Ermolaev, B. I.; Greco, M.; Troyan, S. I. Nuclear Physics B, Vol. 571, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00812-3	journal	April 2000
Evolution at small : The color glass condensate Weigert, H. Progress in Particle and Nuclear Physics, Vol. 55, Issue 2 https://doi.org/10.1016/j.ppnp.2005.01.029	journal	October 2005
Small-x behavior and parton saturation: A QCD model Mueller, A. H. Nuclear Physics B, Vol. 335, Issue 1 https://doi.org/10.1016/0550-3213(90)90173-B	journal	April 1990
Triumvirate of running couplings in small-x evolution Kovchegov, Yuri V.; Weigert, Heribert Nuclear Physics A, Vol. 784, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2006.10.075	journal	March 2007
Operator expansion for high-energy scattering Balitsky, I. Nuclear Physics B, Vol. 463, Issue 1 https://doi.org/10.1016/0550-3213(95)00638-9	journal	March 1996
Wilson renormalization group for low x physics: Towards the high density regime Jalilian-Marian, Jamal; Kovner, Alex; Leonidov, Andrei Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014014	journal	November 1998
On the behaviour of non-singlet structure functions at small x Blümlein, J.; Vogt, A. Physics Letters B, Vol. 370, Issue 1-2 https://doi.org/10.1016/0370-2693(95)01568-X	journal	March 1996
Green’s function in the color field of a large nucleus McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 50, Issue 3 https://doi.org/10.1103/PhysRevD.50.2225	journal	August 1994
HERA-data in the light of small x evolution with state of the art NLO input Kuokkanen, Janne; Rummukainen, Kari; Weigert, Heribert Nuclear Physics A, Vol. 875 https://doi.org/10.1016/j.nuclphysa.2011.10.006	journal	February 2012
Quantum Electrodynamics at Infinite Momentum: Scattering from an External Field Bjorken, James D.; Kogut, John B.; Soper, Davison E. Physical Review D, Vol. 3, Issue 6 https://doi.org/10.1103/PhysRevD.3.1382	journal	March 1971
Unitarity and the BFKL pomeron Mueller, A. H. Nuclear Physics B, Vol. 437, Issue 1 https://doi.org/10.1016/0550-3213(94)00480-3	journal	March 1995
Fock space distributions, structure functions, higher twists, and small x McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 59, Issue 9 https://doi.org/10.1103/PhysRevD.59.094002	journal	March 1999
Quantum structure of the non-Abelian Weizsäcker-Williams field for a very large nucleus Kovchegov, Yuri V. Physical Review D, Vol. 55, Issue 9 https://doi.org/10.1103/PhysRevD.55.5445	journal	May 1997
The calculation of the two-loop spin splitting functions P (1) ij ( x ) Mertig, R.; van Neerven, W. L. Zeitschrift f�r Physik C Particles and Fields, Vol. 70, Issue 4 https://doi.org/10.1007/s002880050138	journal	May 1996
Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)068	journal	July 2014
The dipole picture of high energy scattering, the BFKL equation and many gluon compound states Chen, Zhang; Mueller, A. H. Nuclear Physics B, Vol. 451, Issue 3 https://doi.org/10.1016/0550-3213(95)00350-2	journal	October 1995
Calculating TMDs of a large nucleus: Quasi-classical approximation and quantum evolution Kovchegov, Yuri V.; Sievert, Matthew D. Nuclear Physics B, Vol. 903 https://doi.org/10.1016/j.nuclphysb.2015.12.008	journal	February 2016
Evidence for Polarization of Gluons in the Proton de Florian, Daniel; Sassot, Rodolfo; Stratmann, Marco Physical Review Letters, Vol. 113, Issue 1 https://doi.org/10.1103/PhysRevLett.113.012001	journal	July 2014
Baryon stopping and valence quark distribution at small x Itakura, Kazunori; Kovchegov, Yuri V.; McLerran, Larry Nuclear Physics A, Vol. 730, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2003.10.016	journal	January 2004
QCD analysis of polarized deep-inelastic scattering data and parton distributions Blümlein, Johannes; Böttcher, Helmut Nuclear Physics B, Vol. 636, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00342-5	journal	August 2002
Exclusive processes in perturbative quantum chromodynamics Lepage, G. Peter; Brodsky, Stanley J. Physical Review D, Vol. 22, Issue 9 https://doi.org/10.1103/PhysRevD.22.2157	journal	November 1980
Perturbative odderon in the dipole model Kovchegov, Yuri V.; Szymanowski, Lech; Wallon, Samuel Physics Letters B, Vol. 586, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.02.036	journal	April 2004
Quantum Chromodynamics at High Energy Kovchegov, Yuri V.; Levin, Eugene Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology https://doi.org/10.1017/CBO9781139022187	book	September 2012
Quantum chromodynamics and other field theories on the light cone Brodsky, S. Physics Reports, Vol. 301, Issue 4-6 https://doi.org/10.1016/S0370-1573(97)00089-6	journal	August 1998
The singlet contribution to the structure function g1(x,Q2) at small x Blümlein, J.; Vogt, A. Physics Letters B, Vol. 386, Issue 1-4 https://doi.org/10.1016/0370-2693(96)00958-6	journal	October 1996
Does leading $\ln x$ resummation predict the rise of $g_1$ at small $x$ ? Kiyo, Yuichiro; Kodaira, Jiro; Tochimura, Hiroshi Zeitschrift f�r Physik C Particles and Fields, Vol. 74, Issue 4 https://doi.org/10.1007/s002880050428	journal	May 1997
The renormalization group equation for the color glass condensate Iancu, Edmond; Leonidov, Andrei; McLerran, Larry Physics Letters B, Vol. 510, Issue 1-4 https://doi.org/10.1016/S0370-2693(01)00524-X	journal	June 2001
Unitarity at small Bjorken x Weigert, Heribert Nuclear Physics A, Vol. 703, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)01668-2	journal	June 2002
Overview of the spin structure function _g1 at arbitrary _x and _Q² Ermolaev, B. I.; Greco, M.; Troyan, S. I. https://doi.org/10.1393/ncr/i2010-10052-3	journal	April 2010
Reggeon interactions in perturbative QCD Kirschner, R. Zeitschrift für Physik C Particles and Fields, Vol. 65, Issue 3 https://doi.org/10.1007/BF01556138	journal	September 1995
Regge asymptotics of scattering with flavour exchange in QCD Kirschner, R. Zeitschrift für Physik C Particles and Fields, Vol. 67, Issue 3 https://doi.org/10.1007/BF01624588	journal	September 1995
Regge asymptotics of scattering amplitudes in the logarithmic approximation of QCD Kirschner, R. Zeitschrift für Physik C Particles and Fields, Vol. 31, Issue 1 https://doi.org/10.1007/BF01559604	journal	March 1986
Unitarization of the BFKL Pomeron on a nucleus Kovchegov, Yuri V. Physical Review D, Vol. 61, Issue 7 https://doi.org/10.1103/PhysRevD.61.074018	journal	March 2000
The color glass condensate and high energy scattering in QCD Iancu, Edmond; Venugopalan, Raju Quark–Gluon Plasma 3 https://doi.org/10.1142/9789812795533_0005	book	January 2004
Asymptotic freedom in parton language Altarelli, G.; Parisi, G. Nuclear Physics B, Vol. 126, Issue 2 https://doi.org/10.1016/0550-3213(77)90384-4	journal	August 1977
Wilson renormalization group for low x physics: Gluon evolution at finite parton density Jalilian-Marian, Jamal; Kovner, Alex; Weigert, Heribert Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014015	journal	November 1998
Soft gluons in the infinite-momentum wave function and the BFKL pomeron Mueller, A. H. Nuclear Physics B, Vol. 415, Issue 2 https://doi.org/10.1016/0550-3213(94)90116-3	journal	March 1994
Colour transparency and scaling properties of nuclear shadowing in deep inelastic scattering Nikolaev, N. N.; Zakharov, B. G. Zeitschrift f�r Physik C Particles and Fields, Vol. 49, Issue 4 https://doi.org/10.1007/BF01483577	journal	December 1991
Intercepts of the non-singlet structure functions Ermolaev, B. I.; Greco, M.; Troyan, S. I. Nuclear Physics B, Vol. 594, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00647-7	journal	January 2001
Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes Mueller, A. H.; Patel, Bimal Nuclear Physics B, Vol. 425, Issue 3 https://doi.org/10.1016/0550-3213(94)90284-4	journal	August 1994
Odderon in the color glass condensate Hatta, Y.; Iancu, E.; Itakura, K. Nuclear Physics A, Vol. 760, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2005.05.163	journal	October 2005
Polarized DIS in 𝒩 = 4 SYM: where is spin at strong coupling? Hatta, Yoshitaka; Ueda, Takahiro; Xiao, Bo-Wen Journal of High Energy Physics, Vol. 2009, Issue 08 https://doi.org/10.1088/1126-6708/2009/08/007	journal	August 2009
On the elimination of scale ambiguities in perturbative quantum chromodynamics Brodsky, Stanley J.; Lepage, G. Peter; Mackenzie, Paul B. Physical Review D, Vol. 28, Issue 1 https://doi.org/10.1103/PhysRevD.28.228	journal	July 1983
Helicity evolution at small x Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D. Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)072	journal	January 2016
Factorization and high-energy effective action Balitsky, Ian Physical Review D, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevD.60.014020	journal	June 1999
Gluon distribution functions for very large nuclei at small transverse momentum McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 7 https://doi.org/10.1103/PhysRevD.49.3352	journal	April 1994

Cited By (7)

The spin structure of the nucleon Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Reports on Progress in Physics, Vol. 82, Issue 7 https://doi.org/10.1088/1361-6633/ab0b8f	journal	June 2019
Non-eikonal corrections to multi-particle production in the color glass condensate Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor The European Physical Journal C, Vol. 79, Issue 7 https://doi.org/10.1140/epjc/s10052-019-7097-5	journal	July 2019
The spin structure of the nucleon Kabuss, Eva-Maria Czechoslovak Journal of Physics, Vol. 55, Issue S1 https://doi.org/10.1007/bf03031986	journal	January 2005
The spin structure of the nucleon Bass, S. D.; Thomas, A. W. Progress in Particle and Nuclear Physics, Vol. 33 https://doi.org/10.1016/0146-6410(94)90048-5	journal	January 1994
The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course Frois, B.; Hughes, V. W.; de Groot, N. International School of Nucleon Structure, The Spin Structure of the Nucleon https://doi.org/10.1142/9789814529051	conference	April 2017
Non-eikonal corrections to multi-particle production in the Color Glass Condensate Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor arXiv https://doi.org/10.48550/arxiv.1902.04483	text	January 2019
Helicity-dependent generalization of the JIMWLK evolution Cougoulic, Florian; Kovchegov, Yuri V. arXiv https://doi.org/10.48550/arxiv.1910.04268	text	January 2019

Similar Records

Global analysis of polarized DIS and SIDIS data with improved small-

x

helicity evolution

Journal Article · Mon Dec 11 00:00:00 EST 2023 · Physical Review. D. · OSTI ID:1344365

Adamiak, Daniel; Baldonado, Nicholas; Kovchegov, Yuri V.; +6 more

Analytic solution for the revised helicity evolution at small

x

and large

N_{c}

: New resummed gluon-gluon polarized anomalous dimension and intercept

Journal Article · Thu Jul 06 00:00:00 EDT 2023 · Physical Review. D. · OSTI ID:1344365

Borden, Jeremy; Kovchegov, Yuri V.

Helicity evolution at small

x

: Revised asymptotic results at large

N_{c}

and

N_{f}

Journal Article · Thu Sep 07 00:00:00 EDT 2023 · Physical Review. D. · OSTI ID:1344365

Adamiak, Daniel; Kovchegov, Yuri V.; Tawabutr, Yossathorn

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Atomic and Nuclear Physics

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

Citation Formats

References (62)

Cited By (7)

Similar Records

Related Subjects

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