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One-loop monodromy relations on single cuts

delete2017-10-16
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A
Alexander Ochirov *
P
Piotr Tourkine
P
Pierre Vanhove
DOI:10.1007/JHEP10(2017)105delete
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摘要

摘要

En 中文
The discovery of colour-kinematic duality has led to significant progress in the computation of scattering amplitudes in quantum field theories. At tree level, the origin of the duality can be traced back to the monodromies of open-string amplitudes. This construction has recently been extended to all loop orders. In the present paper, we dissect some consequences of these new monodromy relations at one loop. We use single cuts in order to relate them to the tree-level relations. We show that there are new classes of kinematically independent single-cut amplitudes. Then we turn to the Feynman diagrammatics of the string-theory monodromy relations. We revisit the string-theoretic derivation and argue that some terms, that vanish upon integration in string and field theory, provide a characterisation of momentum-shifting ambiguities in these representations. We observe that colour-dual representations are compatible with this analysis.
Keyword:
Scattering Amplitudes
Superstrings and Heterotic Strings
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期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

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University of Cambridge
学者数:
7.7W
论文数: 7.1W
被引数: 13.7W
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Universite Paris Saclay
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7.3W
论文数: 5.3W
被引数: 540
U
University of Edinburgh
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5.2W
论文数: 4.6W
被引数: 71
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