Libra：多圈积分微分系统变换软件包
Libra: a package for transformation of differential systems for multiloop integrals
摘要：
我们为Mathematica系统提供了一个新的软件包，称为Libra。其目的是为一阶或多元微分系统$\partial_i \boldsymbol j = M_i \boldsymbol j$的变换提供方便的工具。特别是，天秤座是专为减少到$ε$形式的微分系统出现在多回路计算。该软件包还包含一些工具来构造通解：通过路径有序指数的微扰展开和通过正则奇点附近的广义幂级数展开。Libra还提供了工具来确定原始主积分渐近中的最小系数列表，足以固定边界条件。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
