A tree-loop duality relation at two loops and beyond

作者:Bierenbaum Isabella*; Catani Stefano; Draggiotis Petros; Rodrigo German
来源:The Journal of High Energy Physics, 2010, 2010(10): 073.
DOI:10.1007/JHEP10(2010)073

摘要

The duality relation between one-loop integrals and phase-space integrals, developed in a previous work, is extended to higher-order loops. The duality relation is realized by a modification of the customary +i0 prescription of the Feynman propagators, which compensates for the absence of the multiple-cut contributions that appear in the Feynman tree theorem. We rederive the duality theorem at one-loop order in a form that is more suitable for its iterative extension to higher-loop orders. We explicitly show its application to two-and three-loop scalar master integrals, and we discuss the structure of the occurring cuts and the ensuing results in detail.

  • 出版日期2010-10