6533b83afe1ef96bd12a701d
RESEARCH PRODUCT
Light-by-light scattering sum rules constraining meson transition form factors
Vladyslav PaukVladyslav PaukMarc VanderhaeghenVladimir Pascalutsasubject
PhysicsNuclear and High Energy PhysicsSpinorMesonNuclear TheoryAstrophysics::High Energy Astrophysical PhenomenaNuclear TheoryScalar (mathematics)High Energy Physics::PhenomenologyOrder (ring theory)Virtual particleFOS: Physical sciencesNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Quantum mechanicsProduction (computer science)High Energy Physics::ExperimentSum rule in quantum mechanicsEnergy (signal processing)Mathematical physicsdescription
Relating the forward light-by-light scattering to energy weighted integrals of the \gamma* \gamma -fusion cross sections, with one real photon (\gamma) and one virtual photon (\gamma*), we find two new exact super-convergence relations. They complement the known super-convergence relation based on the extension of the GDH sum rule to the light-light system. We also find a set of sum rules for the low-energy photon-photon interaction. All of the new relations are verified here exactly at leading order in scalar and spinor QED. The super-convergence relations, applied to the \gamma* \gamma -production of mesons, lead to intricate relations between the \gamma \gamma -decay widths or the \gamma* \gamma -transition form factors for (pseudo-) scalar, axial-vector and tensor mesons. We discuss the phenomenological implications of these results for mesons in both the light-quark sector and the charm-quark sector.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-03 |