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

✍ Scribed by Luis G. Cabral-Rosetti; Miguel A. Sanchis-Lozano

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 93 KB
• Volume: 115
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00121-1

✦ Synopsis

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 e ort 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.