Sum rule for photon target

Details Sum rule for photon target Sum rule for photon target

2007-04-30

arxiv.org/abs/0704.3896v2

Phys.Rev.D76:057901,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 3 pages, 2 figures

Scientific paper

10.1103/PhysRevD.76.057901

The amplitude of zero angle scattering of electron on photon in the 3-rd QED order of fine structure constant with $\gamma^*\gamma$ intermediate state converting into quark--antiquark is considered. Utilizing analytic properties of elastic photon--photon scattering amplitude an explicit expression for differential cross- section of quark--antiquark pair production at electron-photon collision in peripheral kinematics is derived apparently. Limiting case of small transferred momenta with an application of the Weizs\"acker-Williams like relation gives the sum rule for photon target, bringing into the relation the sum of ratios of the four power of the quark charges to squared quark masses with integral over the total $\gamma\gamma \to 2 jets$ cross--section.

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