微扰论中的符号求和与高阶
Symbolic Summation and Higher Orders in Perturbation Theory
摘要:
微扰论中的高阶需要在多个环上计算费曼积分。我们报告的方法来系统地解决费曼积分的符号求和和讨论的基本算法。例如,在两个圈的非平面顶点,或从最近的计算的三圈QCD修正的深度非弹性散射的结构函数的积分给出的例子。
英文摘要:
Higher orders in perturbation theory require the calculation of Feynman integrals at multiple loops. We report on an approach to systematically solve Feynman integrals by means of symbolic summation and discuss the underlying algorithms. Examples such as the non-planar vertex at two loops, or integrals from the recent calculation of the three-loop QCD corrections to structure functions in deep-inelastic scattering are given.
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