Virtual photon structure functions and positivity constraints

Details Virtual photon structure functions and positivity constraints Virtual photon structure functions and positivity constraints

2002-05-15

arxiv.org/abs/hep-ph/0205159v2

Phys.Rev. D66 (2002) 034014

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 13 eps figures

Scientific paper

10.1103/PhysRevD.66.034014

We study the three positivity constraints among the eight virtual photon structure functions, derived from the Cauchy-Schwarz inequality and which are hence model-independent. The photon structure functions obtained from the simple parton model show quite different behaviors in a massive quark or a massless quark case, but they satisfy, in both cases, the three positivity constraints. We then discuss an inequality which holds among the unpolarized and polarized photon structure functions $F_1^\gamma$, $g_1^\gamma$ and $W_{TT}^\tau$, 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, and we examine whether this inequality is satisfied by the perturbative QCD results.

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