Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-02-02
Nucl.Phys.B608:235-278,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
41 pages, 9 figures, corrected minor error
Scientific paper
10.1016/S0550-3213(01)00249-8
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 ${\cal O}(\alpha_s)$ 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 ${\cal O}(\alpha_s)$ 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.
Ji Xiangdong
Osborne Jonathan
No associations
LandOfFree
An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-75533