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Related papers: Covariant Color-Kinematics Duality

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Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension…

High Energy Physics - Theory · Physics 2022-11-30 Leron Borsten , Hyungrok Kim , Branislav Jurčo , Tommaso Macrelli , Christian Saemann , Martin Wolf

We find that the duality between color and kinematics can be used to inform the high energy behavior of effective field theories. Namely, we demonstrate that the massless gauge theory of Yang-Mills deformed by a higher-derivative $F^3$…

High Energy Physics - Theory · Physics 2023-10-10 John Joseph M. Carrasco , Matthew Lewandowski , Nicolas H. Pavao

Color-kinematics (CK) duality is a remarkable symmetry of gluon amplitudes that is the key to the double copy which links gauge theory and gravity amplitudes. Here we show that the complete Yang-Mills action itself, including its…

High Energy Physics - Theory · Physics 2023-03-23 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

Colour-kinematics duality is the conjecture of a group theory-like structure for the kinematic dependence of scattering amplitudes in gauge theory and gravity. This structure has been verified at tree level in various ways, but similar…

High Energy Physics - Theory · Physics 2013-07-18 Rutger H. Boels , Reinke Sven Isermann , Ricardo Monteiro , Donal O'Connell

Color-kinematics duality states that the kinematic numerators of the cubic tree-level Yang-Mills scattering amplitudes obey the same symmetry properties that the color factors obey due to the Jacobi identity. We present a novel strategy for…

High Energy Physics - Theory · Physics 2026-01-07 Roberto Bonezzi , Christoph Chiaffrino , Olaf Hohm , Maria Foteini Kallimani

Recently 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…

High Energy Physics - Theory · Physics 2015-06-12 Rutger H. Boels , Bernd A. Kniehl , Oleg V. Tarasov , Gang Yang

Color/kinematics duality and the double-copy construction have proved to be systematic tools for gaining new insight into gravitational theories. Extending our earlier work, in this paper we introduce new double-copy constructions for large…

High Energy Physics - Theory · Physics 2017-08-25 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour…

High Energy Physics - Theory · Physics 2023-08-02 Richard J. Szabo , Guillaume Trojani

We show that double field theory arises from the color-kinematic double copy of Yang-Mills theory. A precise double copy prescription for the Yang-Mills action at quadratic and cubic order is provided that yields the double field theory…

High Energy Physics - Theory · Physics 2022-03-02 Felipe Diaz-Jaramillo , Olaf Hohm , Jan Plefka

We provide evidence in favor of the conjectured duality between color and kinematics for the case of nonsupersymmetric pure Yang-Mills amplitudes by constructing a form of the one-loop four-point amplitude of this theory that makes the…

High Energy Physics - Theory · Physics 2015-09-09 Zvi Bern , Scott Davies , Tristan Dennen , Yu-tin Huang , Josh Nohle

We show that the double copy of gauge theory amplitudes to $\mathcal{N}=0$ supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematic duality is a condition for the Becchi-Rouet-Stora-Tyutin…

High Energy Physics - Theory · Physics 2021-05-14 Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf

The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of…

High Energy Physics - Theory · Physics 2023-11-08 Roberto Bonezzi , Felipe Diaz-Jaramillo , Silvia Nagy

We present the first application of color-kinematics (CK) duality at the three-loop level in non-supersymmetric pure Yang-Mills (YM) theory. Building on the minimal deformation approach introduced in \cite{Li:2023akg}, we extend its use to…

High Energy Physics - Theory · Physics 2024-10-23 Zeyu Li , Gang Yang , Guorui Zhu

We investigate color-kinematics duality for gauge-theory amplitudes produced by the pure nonabelian Yang-Mills action deformed by higher-dimension operators. For the operator denoted by F^3, the product of three field strengths, the…

High Energy Physics - Theory · Physics 2012-10-24 Johannes Broedel , Lance J. Dixon

We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example. We follow this by investigating two forms of…

High Energy Physics - Theory · Physics 2021-04-14 Soner Albayrak , Savan Kharel , David Meltzer

We discuss how Moyal deformations of gauge theories, which arise naturally from open string theory, fit into the paradigm of colour-kinematics duality and the double copy of gauge theory to gravity. Along the way we encounter novel…

High Energy Physics - Theory · Physics 2024-01-30 Richard J. Szabo

To explore color/kinematics duality for general representations of the gauge group we formulate the duality for general abelian orbifolds of the SU(N), N=4 super Yang-Mills theory in four dimensions, which have fields in the bi-fundamental…

High Energy Physics - Theory · Physics 2015-06-17 Marco Chiodaroli , Qingjun Jin , Radu Roiban

We perturbatively calculate classical radiation in Yang-Mills theory and dilaton gravity, to next-to-leading order in couplings. The radiation is sourced by the scattering of two relativistic massive scalar sources with the dynamical effect…

High Energy Physics - Theory · Physics 2018-12-05 Chia-Hsien Shen

We examine the color-kinematics duality within the BV formalism, highlighting its emergence as a feature of specific gauge-fixed actions. Our goal is to establish a general framework for studying the duality while investigating…

High Energy Physics - Theory · Physics 2024-12-09 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

We study the duality between color and kinematics for the Sudakov form factors of ${\rm tr}(F^2)$ in non-supersymmetric pure Yang-Mills theory. We construct the integrands that manifest the color-kinematics duality up to two loops. The…

High Energy Physics - Theory · Physics 2022-07-13 Zeyu Li , Gang Yang , Jinxuan Zhang
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