Loop amplitudes monodromy relations and color-kinematics duality

Casali, Eduardo; Mizera, Sebastian; Tourkine, Piotr

doi:10.1007/jhep03(2021)048

Loop amplitudes monodromy relations and color-kinematics duality

Journal Article · Wed Mar 03 00:00:00 EST 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2021)048· OSTI ID:1839666

Casali, Eduardo ^[1]; Mizera, Sebastian ^[2]; ^[3]

University of California, Davis, CA (United States); Institute for Advanced Study
Institute for Advanced Study, Princeton, NJ (United States)
CNRS & Sorbonne Université, Paris (France)

Color-kinematics duality is a remarkable conjectured property of gauge theory which, together with double copy, is at the heart of a wealth of new developments in scattering amplitudes. So far, its validity has been verified in most cases only empirically, with limited ab initio understanding beyond tree-level. In this paper we provide initial steps in a first-principle understanding of color-kinematics duality and double-copy at loop level, through a detailed analysis of the field-theory limit of the monodromy relations of string theory at one loop. In this limit, we dissect the type of Feynman graphs generated and the relations they obey. We find that graphs with contact-terms are unavoidable and are generated in the field theory limit of “bulk” contours which do not have a standard physical interpretation in string perturbation theory. We show how they are related to ambiguities in the definition of the loop momentum and that their role is precisely to cancel those ambiguities.

View Accepted Manuscript (DOE)

Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988; SC0009999

OSTI ID:: 1839666

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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