Sum rule for photon target

Journal Article · Sat Sep 01 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.057901· OSTI ID:21027727

Bartos, E; Dubnicka, S ^[1]; Dubnickova, A Z ^[2]; Kuraev, E A ^[3]

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1. Institute of Physics, Slovak Academy of Sciences, Dubravska cesta 9, 845 11 Bratislava (Slovakia)
2. Department of Theor. Physics, Comenius University, 842 48 Bratislava (Slovakia)
3. Bogol'ubov Laboratory of Theoretical Physics, JINR, Dubna (Russian Federation)

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

• OSTI ID: 21027727
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
DIFFERENTIAL CROSS SECTIONS
ELECTRONS
FINE STRUCTURE
INTEGRALS
INTERMEDIATE STATE
JET MODEL
PHOTON-ELECTRON INTERACTIONS
PHOTON-PHOTON INTERACTIONS
PHOTONS
QUANTUM ELECTRODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
REST MASS
SCATTERING
SUM RULES