Target Mass Effects in Polarized Virtual Photon Structure Functions

We study target mass effects in the polarized virtual photon structure functions g 1 (x, Q , P ), g 2 (x, Q , P ) in the kinematic region Λ P 2 Q, where −Q2(−P ) is the mass squared of the probe (target) photon. We obtain the expressions for g 1 (x, Q , P ) and g 2 (x, Q , P ) 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 xmax(= 1/(1+ P 2 Q2 )), the maximal value of x, as the ratio P /Q increases. Target mass effects for the sum rules of g 1 and g γ 2 are also discussed. YNU-HEPTh-03-102 KUNS-1845 July 2003 ∗e-mail address: [email protected] †e-mail address: [email protected] ‡e-mail address: [email protected]