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Polarization effects in light-by-light scattering: Euler-Heisenberg versus Born-Infeld

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arxiv 1701.07375 v3 pith:T2IAA5EL submitted 2017-01-25 hep-ph physics.optics

classification hep-phphysics.optics
keywords electrodynamicsquantumborn-infeldpolarizationscatteringeffectsgivelight-by-light
verification ladder T0 review T1 audit T2 compute T3 formal
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The angular dependence of the differential cross section of unpolarized light-by-light scattering summed over final polarizations is the same in any low-energy effective theory of quantum electrodynamics and also in Born-Infeld electrodynamics. In this paper we derive general expressions for polarization-dependent low-energy scattering amplitudes, including a hypothetical parity-violating situation. These are evaluated for quantum electrodynamics with charged scalar or spinor particles, which give strikingly different polarization effects. Ordinary quantum electrodynamics is found to exhibit rather intricate polarization patterns for linear polarizations, whereas supersymmetric quantum electrodynamics and Born-Infeld electrodynamics give particularly simple forms.

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Cited by 3 Pith papers

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    This paper shows that replacing a photon with a classical laser field can coherently boost QED cross-sections and improve their energy scaling, for example sigma_1->1 ~ (omega/m)^4 versus sigma_2->2 ~ (omega/m)^6.

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