Feynman Amplitudes as Power Series

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Abstract
It is shown that single-loop Feynman integrals have a simple, natural expression as generalized hypergeometric power series. It is shown how to continue these power series to regions of physical interest and how to use them to derive simple systems of differential equations satisfied by single-loop Feynman integrals. Applications to the evaluation of the box-graph contribution to the scattering of light by light are discussed.

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