论文标题
带有4个繁殖器的2环自我的GKZ系统
GKZ-system of the 2-loop self energy with 4 propagators
论文作者
论文摘要
应用源自Mellin-Barnes代表和Miller转换的线性部分微分方程系统，我们介绍了带有4个繁殖器的2循环自我图的Feynman积分的GKZ系统。派生的GKZ系统的编码等于外部动量平方和虚拟质量平方之间的独立无量纲比率的数量。总共536个超几何函数是在原点和无穷大的街区中获得的，其中30个线性独立的超几何函数的收敛区域具有非空相交构成了整个参数空间的适当子集中的基本解决方案系统。
Applying the system of linear partial differential equations derived from the Mellin-Barnes representation and the Miller transformation, we present the GKZ-system of the Feynman integral of the 2-loop self energy diagram with 4 propagators. The codimension of the derived GKZ-system equals the number of independent dimensionless ratios among the external momentum squared and virtual mass squared. In total 536 hypergeometric functions are obtained in the neighborhoods of the origin and infinity, in which 30 linearly independent hypergeometric functions whose convergent regions have nonempty intersection constitute a fundamental solution system in a proper subset of the whole parameter space.
