Analytic results for planar three-loop integrals for massive form factors

作者:Henn Johannes M; Smirnov Alexander V; Smirnov Vladimir A
来源:The Journal of High Energy Physics, 2016, 2016(12): 144.
DOI:10.1007/JHEP12(2016)144

摘要

We use the method of differential equations to analytically evaluate all planar three-loop Feynman integrals relevant for form factor calculations involving massive particles. Our results for ninety master integrals at general q(2) are expressed in terms of multiple polylogarithrns, and results for fiftyone master integrals at the threshold q(2) = 4m(2) are expressed in terms of multiple polylogarithms of argument one, with indices equal to zero or to a sixth root of unity.

  • 出版日期2016-12-28
  • 单位中国科学院理论物理研究所