O(α_s^2) contributions to the fragmentation function g_1(x,Q^2) in polarized e^+e^- annihilation

Abstract

Misprints in the C_F^2 part of the splitting function ΔP_{gq}^(1) Eq. (3.29) are corrected. Due to a minus sign error between the C_F^2- 1/2 C_A C_F piece and the remaining part of Eq. (A.4), Eq. (3.46) is changed. Finally z_{qq}^{PS,(2)} is know so that we can give the full expression for Δ\bar {\cal C}_{1,q}^{PS} in Eq. (A.1).

29 pages Latex

References in corpus (4)

• Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation
• Next-to-Leading Order Evolution of Polarized and Unpolarized Fragmentation Functions
• $O({\alpha }_s^2)$ Contributions to the asymmetric fragmentation function in $e^{+}{e}^{-}$ annihilation
• Next to Leading Order QCD Corrections to Polarized $\Lambda$ Production in DIS

Cited by in corpus (7)

• Harmonic Sums and Mellin Transforms up to two-loop Order
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• On the Drell-Levy-Yan Relation to $O({\alpha }_s^2)$
• $O({\alpha }_s^2)$ Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space
• BLM scale for the pion transition form factor
• QCD corrections up to order alpha_s^2 to polarized quark production in e^+ e^- -annihilation
• Relations among Higher Order QCD corrections