标题： Cutkosky 表象和直接积分 显示英文标题

标题： Cutkosky representation and direct integration

摘要： 我们提出了一种基于Cutkosky表示的新方法，用于直接积分费曼积分。在此表示中，我们可以显式计算导致平方根奇点的积分，并仅保留导致对数奇点的积分，从而使得超越性权重变得明显。该方法简单易懂，具有算法性质，不会引入虚假的非物理奇点，也不需要将积分约化为纯积分基底。 显示英文摘要

摘要： We present a new method of direct integration of Feynman integrals based on the Cutkosky representation of the integrals. In this representation we are able to explicitly compute the integrals which yield square root singularities and leave only the integrals which yield logarithmic singularities, thus making the transcendentality weight manifest. The method is elementary, algorithmic, does not introduce spurious non-physical singularities and does not require a reduction to a basis of pure integrals.