Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
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DOI：
10.1103/physrevd.102.016025
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发表时间：
2019-06
影响因子：
5
通讯作者：
M. Heller;A. von Manteuffel;R. Schabinger
中科院分区：
文献类型：
--
作者：
M. Heller;A. von Manteuffel;R. Schabinger
我们考虑具有代数先导奇点和全微分的Feynman积分，其形式为$\Ensureath{\epsilon}\Text{}\mathm{d}\Text{}\mathm{ln}$。我们首次证明了通过参数积分或匹配符号，可以用传统的多重多对数来计算包含不可有理化根的奇点的积分。作为我们的主要应用，我们评估了与强子对撞机上产生的Drell-yan轻子对的$\ensuremath{\alpha}{\ensuremath{\alpha}}_{s}$修正相关的双圈主积分。我们优化了我们的泛函基础，以允许在相空间的物理区域进行快速而稳定的数值计算。
We consider Feynman integrals with algebraic leading singularities and total differentials in $\ensuremath{\epsilon}\text{ }\mathrm{d}\text{ }\mathrm{ln}$ form. We show for the first time that it is possible to evaluate integrals with singularities involving unrationalizable roots in terms of conventional multiple polylogarithms, by either parametric integration or matching the symbol. As our main application, we evaluate the two-loop master integrals relevant to the $\ensuremath{\alpha}{\ensuremath{\alpha}}_{s}$ corrections to Drell-Yan lepton pair production at hadron colliders. We optimize our functional basis to allow for fast and stable numerical evaluations in the physical region of phase space.