Helicity evolution at small x: Flavor singlet and nonsinglet observables

被引:57
作者
Kovchegov, Yuri V. [1 ]
Pitonyak, Daniel [2 ,3 ]
Sievert, Matthew D. [4 ,5 ]
机构
[1] Ohio State Univ, Dept Phys, 174 W 18th Ave, Columbus, OH 43210 USA
[2] Penn State Univ Berks, Div Sci, Reading, PA 19610 USA
[3] Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USA
[4] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[5] Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA
关键词
COLOR GLASS CONDENSATE; STRUCTURE-FUNCTION G(1); PERTURBATIVE QUANTUM CHROMODYNAMICS; GLUON DISTRIBUTION-FUNCTIONS; DEEP-INELASTIC-SCATTERING; WEIZSACKER-WILLIAMS FIELD; HIGH-ENERGY SCATTERING; LARGE NUCLEUS; BFKL POMERON; SPLITTING FUNCTIONS;
D O I
10.1103/PhysRevD.95.014033
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We extend our earlier results for the quark helicity evolution at small x [J. High Energy Phys. 01 (2016) 072] to derive the small-x asymptotics of the flavor singlet and flavor nonsinglet quark helicity TMDs and PDFs and of the g(1) structure function. In the flavor singlet case we rederive the evolution equations obtained in our previous paper on the subject [J. High Energy Phys. 01 (2016) 072], 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. All evolution equations resum double-logarithmic powers of alpha(s) ln(2) (1/x) in the polarization-dependent evolution along with the single-logarithmic powers of alpha(s) ln(1/x) in the unpolarized evolution which includes saturation effects. We solve the linearized flavor nonsinglet equation analytically, obtaining an intercept which agrees with the one calculated earlier by Bartels, Ermolaev and Ryskin [Z. Phys. C 70, 273 (1996)] using the infrared evolution equations. Our numerical solution of the linearized large-N-c evolution equations for the flavor singlet case is presented in the accompanying Letter [Phys. Rev. Lett. 118, 052001 (2017)] and is further discussed here.
引用
收藏
页数:26
相关论文
共 72 条
[1]  
A Kuraev E., 1977, Sov. Phys. JETP, V45, P199
[2]   Gluon saturation and initial conditions for relativistic heavy ion collisions [J].
Albacete, J. L. ;
Marquet, C. .
PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2014, 76 :1-42
[3]   ASYMPTOTIC FREEDOM IN PARTON LANGUAGE [J].
ALTARELLI, G ;
PARISI, G .
NUCLEAR PHYSICS B, 1977, 126 (02) :298-318
[4]   Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions [J].
Altinoluk, Tolga ;
Armesto, Nestor ;
Beuf, Guillaume ;
Martinez, Mauricio ;
Salgado, Carlos A. .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (07)
[5]   Unveiling the proton spin decomposition at a future electron-ion collider [J].
Aschenauer, Elke C. ;
Sassot, Rodolfo ;
Stratmann, Marco .
PHYSICAL REVIEW D, 2015, 92 (09)
[6]  
BALITSKII YY, 1978, SOV J NUCL PHYS+, V28, P822
[7]   Factorization and high-energy effective action [J].
Balitsky, I .
PHYSICAL REVIEW D, 1999, 60 (01)
[8]   Operator expansion for high-energy scattering [J].
Balitsky, I .
NUCLEAR PHYSICS B, 1996, 463 (01) :99-157
[9]   Quark contribution to the small-x evolution of color dipole [J].
Balitsky, Ian .
PHYSICAL REVIEW D, 2007, 75 (01)
[10]  
Bartels J, 1996, Z PHYS C PART FIELDS, V70, P273