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arXiv 1507.04256hep-ph
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介绍SummerTime:一个高精度计算DRA方法中出现的和的软件包

Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method

Roman N. Lee, Kirill T. Mingulov

摘要:

我们介绍了Mathematica软件包SummerTime的任意精度计算的总和出现在结果的迭代方法。到目前为止,这些结果包括以下几类积分:3-loop在壳无质量顶点积分,3-loop在壳质量算子型积分,4-loop QED型蝌蚪积分,4-loop无质量传播子。该软件包可用于高精度数值计算任意时空维上上述族积分的展开系数。此外,该软件包还可用于计算多重zeta值、调和多项式和其他用带因式分解被加数的嵌套和表示的超越数。

英文摘要:

We introduce the Mathematica package SummerTime for arbitrary-precision computation of sums appearing in the results of DRA method. So far these results include the following families of the integrals: 3-loop onshell massless vertices, 3-loop onshell mass operator type integrals, 4-loop QED-type tadpoles, 4-loop massless propagators. The package can be used for high-precision numerical computation of the expansion coefficients of the integrals from the above families around arbitrary space-time dimension. In addition, this package can also be used for calculation of multiple zeta values, harmonic polylogarithms and other transcendental numbers expressed in terms of nested sums with factorized summand.

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