Generalized Hypergeometric Functions and the Evaluation of Scalar One-loop Integrals in Feynman Diagrams
Cabral-Rosetti, Luis G. ; Sanchis-Lozano, Miguel A.
arXiv, 9809213 / Harvested from arXiv
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.
Publié le : 1998-09-01
Classification:  High Energy Physics - Phenomenology,  Mathematical Physics
@article{9809213,
     author = {Cabral-Rosetti, Luis G. and Sanchis-Lozano, Miguel A.},
     title = {Generalized Hypergeometric Functions and the Evaluation of Scalar
  One-loop Integrals in Feynman Diagrams},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809213}
}
Cabral-Rosetti, Luis G.; Sanchis-Lozano, Miguel A. Generalized Hypergeometric Functions and the Evaluation of Scalar
  One-loop Integrals in Feynman Diagrams. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809213/