Abstract
Abstract We investigate the transition of the polarized photon structure function g 1 γ ( x , Q 2 , P 2 ) when the target photon shifts from on-shell ( P 2 = 0 ) to far off-shell ( P 2 ≫ Λ 2 ) region. The analysis is performed to the next-to-leading order in QCD. The first moment of g 1 γ which vanishes for the real photon, turns to be a negative value when target photon becomes off-shell. The explicit P 2 -dependence of the first moment sum rule as well as of the structure function g 1 γ ( x , Q 2 , P 2 ) as a function of x is studied in the framework of the vector meson dominance model.
Highlights
When the target photon becomes off-shell, P 2 = 0, the first moment of the corresponding photon structure function g1γ(x, Q2, P 2) does not vanish any more
We investigate the transition of the polarized photon structure function g1γ(x, Q2, P 2) when the target photon shifts from on-shell (P 2 = 0) to far off-shell (P 2 ≫ Λ2) region
The QCD analysis of g1γ for a real photon (P 2 = 0) target was performed in the leading order (LO) [15], and in the next-to-leading order (NLO) [11, 18]
Summary
When the target photon becomes off-shell, P 2 = 0, the first moment of the corresponding photon structure function g1γ(x, Q2, P 2) does not vanish any more. Where An = (Aψn , AGn , ANn S) denote the photon matrix elements of the hadronic operators Rn renormalized at μ2 = Q20 and are defined as γ(p)|Rn(μ)|γ(p)
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