Integrands of loop amplitudes within loop-tree duality
Integrands of loop amplitudes within loop-tree duality
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DOI：
10.1103/physrevd.101.116014
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发表时间：
2020-06
影响因子：
5
通讯作者：
R. Runkel;Z. Szőr;J. Vesga;S. Weinzierl
中科院分区：
文献类型：
--
作者：
R. Runkel;Z. Szőr;J. Vesga;S. Weinzierl
使用循环树对偶，我们涉及到一个重整化的$n$点$l$-循环振幅在量子场论的相空间积分的正则化的$l$-倍向前限制的UV-减去$（n+2l）$-点树振幅类对象。我们表明，最多三个循环后一个对象是很容易计算的递归关系。这定义了一个被积函数的环路振幅与一个整体定义的环路动量。场和质量重整在壳方案中进行。
Using loop-tree duality, we relate a renormalised $n$-point $l$-loop amplitude in a quantum field theory to a phase-space integral of a regularised $l$-fold forward limit of a UV-subtracted $(n+2l)$-point tree-amplitude-like object. We show that up to three loops the latter object is easily computable from recurrence relations. This defines an integrand of the loop amplitude with a global definition of the loop momenta. Field and mass renormalisation are performed in the on-shell scheme.