S-Duality and Helicity Amplitudes

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I will demonstrate that SL(2,Z) duality is a property of all low-energy effective Abelian theories with electric or magnetic charges The duality will be verified at one loop by comparing the amplitudes in the case of an electron and the dyon that is its SL(2,Z) image, and I will show that it can be extended order by order in perturbation theory. I will discuss how the duality generically breaks down at high energies, and show how the results apply to the Seiberg-Witten theory.