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- W2951835586 abstract "One-loop two-, three- and four-point scalar functions are analytically integrated directly such that they are expressed in terms of Lauricella's hypergeometric function $F_D$. For two- and three-point functions, exact expressions are obtained with arbitrary combination of kinematic and mass parameters in arbitrary space-time dimension. Four-point function is expressed in terms of $F_D$ up to the finite part in the expansion around 4-dimensional space-time with arbitrary combination of kinematic and mass parameters. Since the location of the possible singularities of $F_D$ is known, information about the stabilities in the numerical calculation is obtained. We have developed a numerical library calculating $F_D$ around 4-dimensional space-time. The numerical values for IR divergent cases of four-point functions in massless QCD are calculated and agreed with golem95 package." @default.
- W2951835586 created "2019-06-27" @default.
- W2951835586 creator A5083266070 @default.
- W2951835586 date "2011-05-11" @default.
- W2951835586 modified "2023-09-27" @default.
- W2951835586 title "Numerical calculation of one-loop integration with hypergeometric functions" @default.
- W2951835586 hasPublicationYear "2011" @default.
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