Polarized Virtual Photon Structure Function $g_2^{\gamma }$ and Twist-3 Effects in QCD

Abstract

We investigate the twist-3 effects in the polarized virtual photon structure. The structure functions $g_1^{\gamma }$ and $g_2^{\gamma }$ of polarized photon could be experimentally studied in the future polarized $ep$ or $e^{+}{e}^{-}$ colliders. The leading contributions to $g_1^{\gamma }$ are the twist-2 effects, while another structure function $g_2^{\gamma }$, which only exists for the virtual photon target, receives not only the twist-2 but also twist-3 contributions. We first show that the twist-3 effects actually exist in the box-diagram contributions and we extract the twist-3 part, which can also be reproduced by the pure QED operator product expansion. We then calculate the non-trivial lowest moment ($n=3$) of the twist-3 contribution to $g_2^{\gamma }$ in QCD. For large $N_c$ (the number of colors), the QCD analysis of the twist-3 effects in the flavor nonsinglet part of $g_2^{\gamma }$ becomes tractable and we can obtain its moments in a compact form for all $n$.

27 pages, LaTeX, 9 eps figures, eqsection.sty file included, Appendix A added, some minor changes for Fig.1

References in corpus (3)

• Evolution equation for the structure function g_2(x,Q^2)
• Spin-Dependent Structure Functions of Real and Virtual Photons
• Spin-Dependent Structure Functions of the Photon

Cited by in corpus (9)

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• Target Mass Effects in Polarized Virtual Photon Structure Functions
• Target Mass Corrections for the Virtual Photon Structure Functions to the Next-to-next-to-leading Order in QCD
• Transition from real to virtual polarized photon structures
• Heavy quark effects on parton distribution functions in the unpolarized virtual photon up to the next-to-leading order in QCD
• Resummation of large logarithms in the heavy quark effects on the parton distributions inside the virtual photon
• Mass effects in the polarized virtual photon structure
• Parton distributions in the virtual photon target up to NNLO in QCD
• Polarized Structure Functions and Two-Photon Physics at Super-B