A new formulation of the loop-tree duality at higher loops

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作者
Runkel, Robert [1 ]
Szor, Zoltan [1 ]
Vesga, Juan Pablo [1 ]
Weinzierl, Stefan [1 ]
机构
[1] Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, Inst Phys, D-55099 Mainz, Germany
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O59 [应用物理学];
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摘要
We present a new formulation of the loop-tree duality theorem for higher loop diagrams valid both for massless and massive cases. l-loop integrals are expressed as weighted sum of trees obtained from cutting l internal propagators of the loop graph. In addition, the uncut propagators gain a modified id -prescription, named dual-propagators. In this new framework one can go beyond graphs and calculate the integrand of loop amplitudes as a weighted sum of tree graphs, which form a tree-like object. These objects can be computed efficiently via recurrence relations.
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页数:10
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