Polarized Parton Distributions in the Photon and Factorization Scheme Dependence

Abstract

Spin-dependent parton distributions in the polarized virtual photon are investigated in QCD up to the next-to-leading order (NLO). In the case ${\Lambda }^2\ll P^2\ll Q^2$, where $-Q^2$ ($-P^2$) is the mass squared of the probe (target) photon, parton distributions can be predicted completely up to the NLO, but they are factorization-scheme-dependent. Parton distributions are analyzed in four different factorization schemes and their scheme dependence are discussed. Particular attentions are paid to the axial anomaly effect on the first moments of quark parton distributions, and also to the large-$x$ behaviors of the parton distributions. Gluon distribution in the virtual photon is found to be factorization-scheme independent up to the NLO.

15 pages, LaTeX, 3 postscript figures; one page shortened, refined arguments, no change in results and conclusions

References in corpus (3)

• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• Flavor Decomposition of the Polarized Quark Distributions in the Nucleon from Inclusive and Semi-inclusive Deep-inelastic Scattering
• Spin structure function of the virtual photon

Cited by in corpus (17)

• Theory of hard photoproduction
• Survey of present data on photon structure functions and resolved photon processes
• The Virtual Photon Structure to the Next-to-next-to-leading Order in QCD
• Polarized Virtual Photon Structure Function $g_2^{\gamma }$ and Twist-3 Effects in QCD
• The $alphaalph{a}_s^2$ corrections to the first moment of the polarized virtual photon structure function $g_1^{g}amma(x,Q^2,P^2)$
• Positivity constraints on photon structure functions
• Virtual photon structure functions and positivity constraints
• 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
• Parton distributions in the virtual photon target up to NNLO in QCD
• Parton Distributions in the Virtual Photon Target and Factorization Scheme Dependence
• Two-Photon Processes and Photon Structure
• Polarized Photon Structure: $g_1^{\gamma }$ and $g_2^{\gamma }$
• Polarized Structure Functions and Two-Photon Physics at Super-B