多分量主积分的维数递推与解析方法:利用么正割构造齐次解
The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions
摘要:
我们考虑的情况下,几个主积分在一个给定的部门的应用程序中的Ranking方法。我们建立了一个连接之间的齐次部分的维递归和最大酉削减相应的积分:一个最大削减主积分似乎是一个解决方案的齐次部分的维递归关系。这一观察使我们能够进行一个必要的步骤,即构造齐次方程的通解,在这种情况下,齐次方程是一个耦合的差分方程组。
英文摘要:
We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations.
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