Differential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions

Details Differential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions Differential Reduction Algorithms for the All-Order Epsilon Expansion of Hypergeometric Functions

2008-08-19

arxiv.org/abs/0808.2605v5

Physics

High Energy Physics

High Energy Physics - Phenomenology

Poster presentation by S.A. Yost at the 34th International Conference on High Energy Physics, Philadelphia, August 2008. 3 pag

Scientific paper

Hypergeometric functions provide a useful representation of Feynman diagrams occuring in precision phenomenology. In dimension regularization, the epsilon-expansion of these functions about d=4 is required. We discuss the current status of differential reduction algorithms. As an illustration, we consider the construction of the all-order epsilon-expansion of the Appell hypergeometric function about integer values of the parameters and present an explicit evaluations of the first few terms.

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