Abstract
We study the polarized Bjorken sum rule at low momentum transfer squared Q 2 ≤ 3 GeV2 in the twist-two approximation and to the next-to-next-to-leading order accuracy.
Similar content being viewed by others
References
M. Anselmino, A. Efremov, and E. Leader, “The theory and phenomenology of polarized deep inelastic scattering,” Phys. Rept. 261, 1 (1995); S. E. Kuhn, J.-P. Chen, and E. Leader, “Spin structure of the nucleon-status and recent results,” Prog. Part. Nucl. Phys. 63, 1 (2009).
J. D. Bjorken, “Applications of the chiral U(6)x(6) algebra of current densities,” Phys. Rev. 148, 1467 (1966); “Inelastic scattering of polarized leptons from polarized nucleons,” Phys. Rev., Ser. D 1, 1376 (1970).
K. V. Dharmawardane et al. (CLAS Collaboration), “Measurement of the x- and Q**2-dependence of the asymmetry A(1) on the nucleon,” Phys. Lett., Ser. B 641, 11 (2006); P. E. Bosted et al. (CLAS Collaboration), “Quark-hadron duality in spin structure functions g(1)p and g(1)d,” Phys. Rev., Ser. C 75, 035203 (2007); Y. Prok et al. (CLAS Collaboration), “Moments of the spin structure functions g**p(1) and g**d(1) for 0.05 < Q**2 < 3.0-GeV**2,” Phys. Lett., Ser. B 672, 12 (2009).
M. Amarian et al. (CLAS Collaboration), “The Q**2 evolution of the generalized Gerasimov-Drell-Hearn integral for the neutron using a He-3 target,” Phys. Rev. Lett. 89, 242301 (2002); 92, 022301 (2004); R. Fatemi et al. (CLAS Collaboration), “Measurement of the proton spin structure function g(1)(x, Q**2) for Q**2 from 0.15 to 1.6 GeV**2 with CLAS,” Phys. Rev. Lett. 91, 222002 (2003); A. Deur et al. (CLAS Collaboration), “Experimental determination of the evolution of the Bjorken integral at low Q**2,” Phys. Rev. Lett. 93, 212001 (2004).
K. Abe et al. (E154 Collaboration), “Precision determination of the neutron spin structure function g1(n),” Phys. Rev. Lett. 79, 26 (1997); P. L. Anthony et al. (E155 Collaboration), “Measurements of the Q**2 dependence of the proton and neutron spin structure functions g(1)**p and g(1)**n,” Phys. Lett., Ser. B 493, 19 (2000).
P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, “Adler function, Bjorken sum rule, and the Crewther relation to order α 4s in a general gauge theory,” Phys. Rev. Lett. 104, 132004 (2010).
V. L. Khandramai et al., “Four-loop QCD analysis of the Bjorken sum rule vs. data,” Phys. Lett., Ser. B 706, 340 (2012).
R. S. Pasechnik et al., Nucleon spin structure and pQCD frontier on the move,” Phys. Rev., Ser. D 81, 016010 (2010); “Nucleon spin structure at low momentum transfers,” Phys. Rev., Ser. D 82, 076007 (2010); “Bjorken sum rule and pQCD frontier on the move,” Phys. Rev., Ser. D 78, 071902 (2008).
A. L. Kataev et al., “Next to next-to-leading order QCD analysis of the CCFR data for xF3 and F2 structure functions of the deep inelastic neutrino-nucleon scattering,” Phys. Lett., Ser. B 388, 179 (1996); “Next to next-to-leading order QCD analysis of the revised CCFR data for xF3 structure function and the higher twist contributions,” Phys. Lett., Ser. B 417, 374 (1998).
G. Grunberg, “Renormalization group improved perturbative QCD,” Phys. Lett., Ser. B 95, 70 (1980); “Renormalization scheme independent QCD and QED: the method of effective charges,” Phys. Rev., Ser. D 29, 2315 (1984).
G. Parente, A. V. Kotikov, and V. G. Krivokhizhin, “Next to next-to-leading order QCD analysis of DIS structure functions,” Phys. Lett., Ser. B 333, 190 (1994); A. V. Kotikov, G. Parente, and J. Sanchez Guillen, “Renormalization scheme invariant analysis of the DIS structure functions F2 and F(L),” Z. Phys., Ser. C 58, 465 (1993).
S. A. Larin and J. A. M. Vermaseren, “The alpha-s**3 corrections to the Bjorken sum rule for polarized electroproduction and to the Gross-Llewellyn Smith sum rule,” Phys. Lett., Ser. B 259, 345 (1991).
D. V. Shirkov, Massive Perturbative QCD, Regular in the IR Limit, arXiv:1208.2103[hep-th].
A. V. Kotikov, “On the behavior of DIS structure function ratio R (x, Q**2) at small x,” Phys. Lett., Ser. B 338, 349 (1994); JETP Lett. 59, 1 (1995).
D. I. Kazakov and A. V. Kotikov, “Total alpha-s correction to deep inelastic scattering cross-section ration, R = sigma-l/sigma-t in QCD. Calculation of longitudinal structure function,” Nucl. Phys., Ser. B 307, 721 (1988); Nucl. Phys., Ser. B 345 (E), 299 (1990); Yad. Fiz. 46, 1767 (1987); A. V. Kotikov, “Behavior of R = sigma-l/sigma-t ratio in QCD at x → 0 and x → 1 and its parametrization,” Sov. J. Nucl. Phys. 49, 1068 (1989).
B. Badelek, J. Kwiecinski, and A. Stasto, “A model for F(L) and R = F(L)/F(T) at low x and low Q**2,” Z. Phys., Ser. C 74, 297 (1997).
A. V. Kotikov, A. V. Lipatov, and N. P. Zotov, “The longitudinal structure function F(L): perturbative QCD and k(T) factorization versus experimental data at fixed W,” J. Exp. Theor. Phys. 101, 811 (2005).
D. V. Shirkov and I. L. Solovtsov, “Analytic model for the QCD running coupling with universal alpha-s(0) value,” Phys. Rev. Lett. 79, 1209 (1997).
G. Cvetic et al., “Small-x behavior of the structure function F(2) and its slope partial lnF(2)/partial ln(1/x) for “Frozen” and analytic strong-coupling constants,” Phys. Lett., Ser. B 679, 350 (2009); A. V. Kotikov, V. G. Krivokhizhin, and B. G. Shaikhatdenov, “Analytic and “Frozen” QCD coupling constants up to NNLO from DIS data,” Phys. Atom. Nucl. 75, 507 (2012); A. V. Kotikov and B. G. Shaikhatdenov, Q2-evolution of parton densities at small x values, Combined H1 and ZEUS F2 Data, arXiv:1212.4582[hep-ph].
Author information
Authors and Affiliations
Additional information
The work was supported by RFBR grant no. 10-02-01259-a.
The article is published in the original.
Rights and permissions
About this article
Cite this article
Kotikov, A.V., Shaikhatdenov, B.G. Perturbative QCD analysis of the Bjorken sum rule. Phys. Part. Nuclei 45, 26–29 (2014). https://doi.org/10.1134/S1063779614010535
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779614010535