Target Mass Effects in Polarized Virtual Photon Structure Functions

Details Target Mass Effects in Polarized Virtual Photon Structure Functions Target Mass Effects in Polarized Virtual Photon Structure Functions

2003-07-10

arxiv.org/abs/hep-ph/0307136v1

Phys.Rev. D68 (2003) 054025

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, LaTeX, 9 eps figures

Scientific paper

10.1103/PhysRevD.68.054025

We study target mass effects in the polarized virtual photon structure functions $g_1^\gamma (x,Q^2,P^2)$, $g_2^\gamma (x,Q^2,P^2)$ in the kinematic region $\Lambda^2\ll P^2 \ll Q^2$, where $-Q^2 (-P^2)$ is the mass squared of the probe (target) photon. We obtain the expressions for $g_1^\gamma (x,Q^2,P^2)$ and $g_2^\gamma (x,Q^2,P^2)$ in closed form by inverting the Nachtmann moments for the twist-2 and twist-3 operators. Numerical analysis shows that target mass effects appear at large $x$ and become sizable near $x_{\rm max}(=1/(1+\frac{P^2}{Q^2}))$, the maximal value of $x$, as the ratio $P^2/Q^2$ increases. Target mass effects for the sum rules of $g_1^\gamma$ and $g_2^\gamma$ are also discussed.

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