Color-kinematic duality for form factors

By R. Boels, Bernd A. Kniehl, O. Tarasov, Gang Yang. 2012

151 citations recorded by the source corpus.

A bstractRecently a powerful duality between color and kinematics has been proposed for integrands of scattering amplitudes in quite general gauge theories. In this paper the duality proposal is extended to the more general class of gauge theory observables formed by form factors. After a discussion of the general setup the existence of the duality is verified in two- and three-loop examples in four-dimensional maximally supersymmetric Yang-Mills theory which involve the stress energy tensor multiplet. In these cases the duality reproduces known results in a particularly transparent and uniform way. As a non- trivial application we obtain a very simple form of the integrand of the four-loop two-point (Sudakov) form factor which passes a large set of unitarity cut checks.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/caa30c99aa5cf1bd769a2a978e32d15153d92a80

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Citations in the corpus

Pure gravities via color-kinematics duality for fundamental matter (2014, methodology): “Perhaps the best starting point for understanding the spectrum of massless gauge theories is the on-shell supermultiplet of N = 4 SYM [47, 48].”
Ultraviolet properties of N=8 supergravity at five loops (2018, background): “2) remains a conjecture [31], although evidence continues to accumulate [20,42,50,51].”
Type D spacetimes and the Weyl double copy (2018, unknown): “At loop level, the double copy has been extensively studied [17–31], but to date it is still a conjecture [27].”
Colour-Kinematics duality for one-loop rational amplitudes (2013, methodology): “Recently the two-point form factor was obtained in colourdual form up to four loops, and the three-point up to two loops [18].”
Black holes and the double copy (2014, background): “Other investigations have verified their application in form factors rather than scattering amplitudes [29], and also in theories with fundamental matter [30].”
The classical double copy for Taub–NUT spacetime (2015, background): “Follow-up work has examined loop-level amplitudes [3, 12–30], form-factors [31], or alternative theories [32].”