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One-loop monodromy relations on single cuts


Type

Article

Change log

Authors

Ochirov, Alexander 
Vanhove, Pierre 

Abstract

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.

Description

Keywords

hep-th, hep-th

Journal Title

JHEP

Conference Name

Journal ISSN

1126-6708
1029-8479

Volume Title

2017

Publisher

Springer Science and Business Media LLC
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)