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arXiv 1801.01033hep-ph
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两种不同质量费米子从重到轻形状因子的双圈主积分

Two-Loop master integrals for heavy-to-light form factors of two different massive fermions

Long-Bin Chen

摘要:

我们计算了在NNLO QCD或QED修正下两个不同质量费米子的任意动量转移的重-轻形状因子的双圈主积分。这些积分允许确定两个大质量费米子的重到轻形状因子的振幅的双圈QCD或QED修正,在一个完整的分析方式,没有任何近似。主积分的解析结果是使用微分方程的方法,随着主积分的规范基的适当选择。主积分的所有结果都用Goncharov多项式表示。

英文摘要:

We calculate the full set of the two-loop master integrals for heavy-to-light form factors of two different massive fermions for arbitrary momentum transfer in NNLO QCD or QED corrections. These integrals allow to determine the two-loop QCD or QED corrections to the amplitudes for heavy-to-light form factors of two massive fermions in a full analytical way, without any approximations. The analytical results of the master integrals are derived using the method of differential equations, along with a proper choosing of canonical basis for the master integrals. All the results of master integrals are expressed in terms of Goncharov polylogarithms.

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