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.
Fundamental constants from photon-photon scattering in three-beam collisions
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abstract
Direct measurement of the elastic scattering of real photons on an electromagnetic field would allow the fundamental low-energy constants of quantum electrodynamics (QED) to be experimentally determined. We show that scenarios involving the collision of three laser beams have several advantages over conventional two-beam scenarios. The kinematics of a three-beam collision allows for a higher signal-to-noise ratio in the detection region, without the need for polarimetry and separates out contributions from different orders of photon scattering. A planar configuration of colliding a photon beam from an x-ray free electron laser with two optical beams is studied in detail. We show that measurements of elastic photon scattering and vacuum birefringence are possible with currently available technology.
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Coherent enhancement of QED cross-sections in electromagnetic backgrounds
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.