论文标题
天秤座：用于转换差分系统的包装套件的包装
Libra: a package for transformation of differential systems for multiloop integrals
论文作者
论文摘要
我们提出了一个用于Mathematica系统的新软件包，称为Libra。它的目的是为一个或几个变量的一阶差分系统提供方便的工具，用于转换一阶微分系统$ \ partial_i \ boldsymbol j = m_i \ boldsymbol j $。特别是，天秤座设计用于将差异系统的$ε$减少到$ε$中。该软件包还包含一些用于构建通用解决方案的工具：通过扰动路径订购的指数的扰动扩展以及通过常规奇异点附近的广义功率系列扩展。Libra还具有确定原始主积分渐近线的最小系数列表，足以固定边界条件。
We present a new package for Mathematica system, called Libra. Its purpose is to provide convenient tools for the transformation of the first-order differential systems $\partial_i \boldsymbol j = M_i \boldsymbol j$ for one or several variables. In particular, Libra is designed for the reduction to $ε$-form of the differential systems which appear in multiloop calculations. The package also contains some tools for the construction of general solution: both via perturbative expansion of path-ordered exponent and via generalized power series expansion near regular singular points.Libra also has tools to determine the minimal list of coefficients in the asymptotics of the original master integrals, sufficient for fixing the boundary conditions.
