Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-05
Phys.Rev.Lett.105:201603,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 3 figures; minor corrections, published version
Scientific paper
10.1103/PhysRevLett.105.201603
We derive a set of sum rules for the light-by-light scattering and fusion: $\gamma\gamma \to all$, 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 $e^+ e^-$ 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.
Pascalutsa Vladimir
Vanderhaeghen Marc
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