Sum Rules for Light-by-Light Scattering

Journal Article · Fri Nov 12 04:00:00 EST 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.201603· OSTI ID:21541692

Pascalutsa, Vladimir; Vanderhaeghen, Marc ^[1]

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1. Institut fuer Kernphysik, Johannes Gutenberg Universitaet, Mainz D-55099 (Germany)

We derive a set of sum rules for the light-by-light scattering and fusion: {gamma}{gamma}{yields}all, and verify them in lowest order QED calculations. A prominent implication of these sum rules is the superconvergence of the helicity-difference total cross section for photon fusion, which in the hadron sector reveals an intricate cancellation between the pseudoscalar and tensor mesons. An experimental verification of superconvergence of the polarized photon fusion into hadrons is called for, but will only be possible at e{sup +}e{sup -} and {gamma}{gamma} colliders with both beams polarized. We also show how the sum rules can be used to measure various contributions to the low-energy light-by-light scattering.

• OSTI ID: 21541692
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 105; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BEAMS
BOSONS
COLLISIONS
CROSS SECTIONS
ELECTRODYNAMICS
ELECTROMAGNETIC RADIATION
ELECTRON COLLISIONS
ELECTRON-POSITRON COLLISIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GAMMA RADIATION
HADRONS
HELICITY
IONIZING RADIATIONS
LIGHT SCATTERING
MASSLESS PARTICLES
MESONS
PARTICLE PROPERTIES
PHOTONS
POLARIZED BEAMS
POSITRON COLLISIONS
PSEUDOSCALAR MESONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RADIATIONS
SCATTERING
SUM RULES
TENSOR MESONS
TOTAL CROSS SECTIONS