6533b7dbfe1ef96bd127160d
RESEARCH PRODUCT
Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams
Miguel A. Sanchis-lozanoLuis G. Cabral-rosettisubject
Appell functionLoop integralDilogarithmAppell seriesApplied MathematicsScalar (mathematics)Feynman diagramFOS: Physical sciencesFísicaMathematical Physics (math-ph)Generalized hypergeometric functionLoop integralHypergeometric seriesAlgebraIntegral calculussymbols.namesakeComputational MathematicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)symbolsFeynman diagramHypergeometric functionMathematical PhysicsPochhammer symbolMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-03-01 |