QCD radiative and power corrections and Generalized GDH sum rules

Abstract

We extend the earlier suggested QCD-motivated model for the $Q^2$-dependence of the generalized Gerasimov-Drell-Hearn (GDH) sum rule which assumes the smooth dependence of the structure function $g_T$, while the sharp dependence is due to the $g_2$ contribution and is described by the elastic part of the Burkhardt-Cottingham sum rule. The model successfully predicts the low crossing point for the proton GDH integral, but is at variance with the recent very accurate JLAB data. We show that, at this level of accuracy, one should include the previously neglected radiative and power QCD corrections, as boundary values for the model. We stress that the GDH integral, when measured with such a high accuracy achieved by the recent JLAB data, is very sensitive to QCD power corrections. We estimate the value of these power corrections from the JLAB data at $Q^2\sim 1{GeV}^2$. The inclusion of all QCD corrections leads to a good description of proton, neutron and deuteron data at all $Q^2$.

10 pages, 4 figures (to be published in Physical Review D)

References in corpus (17)

• Measurements of GEn/GMn from the ^2H(vec{e},e'vec{n})^1H Reaction to Q^2=1.45 (GeV/c)^2
• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Experimental determination of the evolution of the Bjorken integral at low Q^2
• The Q^2 evolution of the generalized Gerasimov-Drell-Hearn integral for the neutron using a He-3 target
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• Measurement of the Proton and Deuteron Spin Structure Function g_1 in the Resonance Region
• Leading and higher twists in the proton polarized structure function at large Bjorken x
• Spin-Dependent Twist-Four Matrix Elements from g_1 Data in the Resonance Region
• Measurement of Inclusive Spin Structure Functions of the Deuteron
• The $Q^2$-dependence of the generalised Gerasimov-Drell-Hearn integral for the deuteron, proton and neutron
• Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
• On the $G_2$ Manifestation for Longitudinally Polarized
• The Q^2-dependence of the Generalised Gerasimov-Drell-Hearn Integral for the Proton
• Bjorken sum rule at low Q^2
• Spin Physics in the Resonance Region
• The GDH sum rule for the deuteron
• Gerasimov-Drell-Hearn and Burkhardt-Cottingham Sum Rules for Proton, Neutron and Deuteron

Cited by in corpus (21)

• Spin Structure of the Nucleon - Status and Recent Results
• The Spin Structure of the Nucleon
• Experimental study of isovector spin sum rules
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• Bjorken Sum Rule and pQCD frontier on the move
• Nucleon spin structure and pQCD frontier on the move
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Moments of the Spin Structure Functions g_1^p and g_1^d for 0.05 < Q^2 < 3.0 GeV^2
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Analyticity and higher twists
• Nucleon spin structure at low momentum transfers
• Sum Rules and Moments of the Nucleon Spin Structure Functions
• Measurement of the Bjorken Sum at very low $Q^2$
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Moments of Spin Structure Functions: Sum Rules and Polarizabilities
• Bjorken sum rule in QCD with analytic coupling
• The g2p Experiment: A Measurement of the Proton's Spin Structure Functions
• Highlights and Perspectives of the JLab Spin Physics Program
• Small-x behavior of non-singlet spin structure function and Bjorken sum rule with pQCD correction up to NNLO and Higher twist correction
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• Study of spin sum rules (and the strong coupling constant at large distances)