Appell functions and the scalar one-loop three-point integrals in Feynman diagrams

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Abstract

The scalar three-point function appearing in one-loop Feynman diagrams is compactly expressed in terms of a generalized hypergeometric function of two variables. Use is made of the connection between such Appell function and dilogarithms coming from a previous investigation. Special cases are obtained for particular values of internal masses and external momenta. © 2006 IOP Publishing Ltd.

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Cabral-Rosetti, L. G., & Sanchis-Lozano, M. A. (2006). Appell functions and the scalar one-loop three-point integrals in Feynman diagrams. In Journal of Physics: Conference Series (Vol. 37, pp. 82–89). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/37/1/015

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