6533b82cfe1ef96bd128ec42

RESEARCH PRODUCT

Appell Functions and the Scalar One-Loop Three-point Integrals in Feynman Diagrams

Luis G. Cabral-rosettiMiguel A. Sanchis-lozano

subject

PhysicsHistoryParticle physicsScalar (mathematics)Mathematics::Classical Analysis and ODEsFOS: Physical sciencesGeneralized hypergeometric functionComputer Science ApplicationsEducationHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)symbolsFeynman diagramMathematical physics

description

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.

https://dx.doi.org/10.48550/arxiv.hep-ph/0206081