Spin Structure Function of the Virtual Photon Beyond the Leading Order in QCD

Abstract

Polarized photon structure can be studied in the future polarized $e^{+}{e}^{-}$ colliding-beam experiments. We investigate the spin-dependent structure function of the virtual photon $g_1^{\gamma }(x,Q^2,P^2)$, in perturbative QCD for ${\Lambda }^2\ll P^2\ll Q^2$, where $-Q^2$ ($-P^2$) is the mass squared of the probe (target) photon. The analysis is performed to next-to-leading order in QCD. We particularly emphasize the renormalization scheme independence of the result.The non-leading corrections significantly modify the leading log result, in particular, at large $x$ as well as at small $x$. We also discuss the non-vanishing first moment sum rule of $g_1^{\gamma }$, where $\mathcal{O}({\alpha }_s)$ corrections are computed.

39 pages, LaTeX, 6 Postscript Figures, eqsection.sty file included

References in corpus (5)

• Spin - Dependent Parton Distributions of the Longitudinally Polarized Photon Beyond the Leading Order
• Probing the Parton Densities of Virtual Photons at ep Colliders
• Photoproduction of Jets and Heavy Flavors at Future Polarized ep - Colliders
• The gluon contribution to the polarized structure function $g_2$
• Polarized Virtual Photon Structure Function in the Next-to-leading Order in QCD

Cited by in corpus (20)

• Theory of hard photoproduction
• 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
• Photon Structure Function in Supersymmetric QCD Revisited
• Squark Contributions to Photon Structure Functions and Positivity Constraints
• Parton distributions in the virtual photon target up to NNLO in QCD
• Mass effects in the polarized virtual photon structure
• Polarized Virtual Photon Structure Function in the Next-to-leading Order in QCD
• Two-Photon Processes and Photon Structure
• Polarized Structure Functions and Two-Photon Physics at Super-B
• Photon structure functions with heavy particle mass effects
• Polarized Photon Structure: $g_1^{\gamma }$ and $g_2^{\gamma }$