Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams

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2000
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Cabral Rosetti, Luis Gustavo
Sanchis Lozano, Miguel Ángel
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Abstract
Present and future high-precision tests of the Standard Model and beyond for the fundamental constituents and interactions in Nature are demanding complex perturbative calculations involving multi-leg and multi-loop Feynman diagrams. Currently, large effort is devoted to the search for closed expressions of loop integrals, written whenever possible in terms of known - often hypergeometric-type - functions. In this work, the scalar three-point function is re-evaluated by means of generalized hypergeometric functions of two variables. Finally, use is made of the connection between such Appell functions and dilogarithms coming from a previous investigation, to recover well-known results.
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Cabral Rosetti, Luis Gustavo Sanchis Lozano, Miguel Ángel 2000 Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams Journal of Computational and Applied Mathematics 115 1-2 93 99
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