An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function

Abstract

We present a general method for obtaining the quantum chromodynamical radiative corrections to the higher-twist (power-suppressed) contributions to inclusive deep-inelastic scattering in terms of light-cone correlation functions of the fundamental fields of quantum chromodynamics. Using this procedure, we calculate the previously unknown $\mathcal{O}({\alpha }_s)$ corrections to the twist-three part of the spin scaling function $g_T(x_B,Q^2)(=g_1(x_B,Q^2)+g_2(x_B,Q^2))$ and the corresponding forward Compton amplitude $S_T(\nu ,Q^2)$. Expanding our result about the unphysical point $x_B=\infty$, we arrive at an operator product expansion of the nonlocal product of two electromagnetic current operators involving twist-two and -three operators valid to $\mathcal{O}({\alpha }_s)$ for forward matrix elements. We find that the Wandzura-Wilczek relation between $g_1(x_B,Q^2)$ and the twist-two part of $g_T(x_B,Q^2)$ is respected in both the singlet and non-singlet sectors at this order, and argue its validity to all orders. The large-$N_c$ limit does not appreciably simplify the twist-three Wilson coefficients.

41 pages, 9 figures, corrected minor error

References in corpus (3)

• Global QCD Analysis of Parton Structure of the Nucleon: CTEQ5 Parton Distributions
• Spin Physics and Polarized Structure Functions
• One-Loop Factorization of the Nucleon g_2-Structure Function in the Non-Singlet Case

Cited by in corpus (16)

• Theory of deeply virtual Compton scattering on the nucleon
• Large-Momentum Effective Theory
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• Target mass corrections for spin-dependent structure functions in collinear factorization
• Delta-to-N-gamma Coulomb Quadrupole Amplitude in PQCD
• Single Transverse Spin Asymmetries at Parton Level
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• Generalized Parton Distributions and the Spin Structure of the Nucleon
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• One-Loop Corrections of Single Spin Asymmetries in Semi-Inclusive DIS
• Matching of Fracture Functions for SIDIS in Target Fragmentation Region
• QCD Evolutions of Twist-3 Chirality-Odd Operators
• Gauge Invariance and QCD Twist-3 Factorization for Single Spin Asymmetries
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• Twist-3 Double Spin Asymmetries in Drell-Yan Processes
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes