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arXiv · hep-ph/0202142

Polarized Virtual Photon Structure Function $g_2^γ$ and Twist-3 Effects in QCD

Hideshi Baba·Ken Sasaki·Tsuneo Uematsu
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Abstract

We investigate the twist-3 effects in the polarized virtual photon structure. The structure functions $g_1^γ$ and $g_2^γ$ of polarized photon could be experimentally studied in the future polarized $ep$ or $e^+e^-$ colliders. The leading contributions to $g_1^γ$ are the twist-2 effects, while another structure function $g_2^γ$, 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 $g_2^γ$ in QCD. For large $N_c$ (the number of colors), the QCD analysis of the twist-3 effects in the flavor nonsinglet part of $g_2^γ$ becomes tractable and we can obtain its moments in a compact form for all $n$.

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Hideshi Baba, Ken Sasaki, Tsuneo Uematsu. 2002-04-18. Polarized Virtual Photon Structure Function $g_2^γ$ and Twist-3 Effects in QCD. https://doi.org/10.1103/physrevd.65.114018

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