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Dresden 2013 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 44: Hadronenstruktur und -spektroskopie

HK 44.7: Talk

Tuesday, March 5, 2013, 18:30–18:45, HSZ-403

Sum rules for light-by-light scattering — •Vladyslav Pauk1,2, Vladimir Paskalutsa1, and Marc Vanderhaeghen11Johannes Gutenberg University, Mainz — 2National Taras Shevchenko University of Kyiv

Title: Light-by-light scattering sum rules and meson transition form factors

In the seminar a set of exact sum rules for the light-by-light fusion process will be discussed. These sum rules involve energy weighted integrals of light-by-light fusion cross sections, which can be measured at e+ e- colliders and allow one to constrain the energy behavior of these response functions. The implication of the sum rules within a perturbative quantum field theory framework will be shown. Specifically, electrodynamics of spin-0, spin-1/2, and spin-1 fields will be considered at tree level and beyond. The sum rules will then by applied to the production of mesons by a virtual photon and a real photon. It will be demonstrated that these sum rules imply non-trivial new relations between the two-photon decay widths of mesons and the gamma* gamma transition form factors for (pseudo-) scalar, axial-vector and tensor mesons. The phenomenological implications of these results for mesons both in the light quark sector and in the charm quark sector will be discussed. The seminar will also give an outlook on the application of these new results to constrain the hadronic uncertainties due to the light-by-light contribution to the muon's anomalous magnetic moment.

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