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This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that…

High Energy Physics - Theory · Physics 2014-07-22 Alexander Ochirov , Piotr Tourkine

Color-kinematics duality in the adjoint has proven key to the relationship between gauge and gravity theory scattering amplitude predictions. In recent work, we demonstrated that at four-point tree-level, a small number of color-dual EFT…

High Energy Physics - Theory · Physics 2021-07-14 John Joseph M. Carrasco , Laurentiu Rodina , Suna Zekioglu

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 demonstrate a physical motivation for extending color-dual or BCJ double-copy construction to include theories with kinematic numerators that obey the same algebraic relations as symmetric structure constants,…

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

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

We explore tree-level amplitude relations for SU(N)xSU(M) bi-fundamental matter theories. Embedding the group-theory structure in a Lie three-algebra, we derive Kleiss-Kuijf-like relations for bi-fundamental matter theories in general…

High Energy Physics - Theory · Physics 2015-06-16 Yu-tin Huang , Henrik Johansson , Sangmin Lee

The BCJ duality between color and kinematics brings two advantages to calculating multi-loop scattering amplitudes. First the number of ordered cuts that need to be performed to fix the integrand to a gauge theory is minimal -- reducing the…

High Energy Physics - Theory · Physics 2024-08-16 John Joseph M. Carrasco , Alex Edison , Nia Robles Del Pino , Suna Zekioğlu

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

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

This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We emphasize, in particular, applications to…

High Energy Physics - Theory · Physics 2019-09-05 Zvi Bern , John Joseph Carrasco , Marco Chiodaroli , Henrik Johansson , Radu Roiban

We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones.…

High Energy Physics - Theory · Physics 2010-12-13 Z. Bern , J. J. M. Carrasco , H. Johansson

We give a geometric interpretation of color-kinematics duality between tree-level scattering amplitudes of gauge and gravity theories. Using their representation as intersection numbers we show how to obtain Bern-Carrasco-Johansson…

High Energy Physics - Theory · Physics 2020-04-10 Sebastian Mizera

We find double copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying…

High Energy Physics - Theory · Physics 2017-12-29 Walter D. Goldberger , Siddharth G. Prabhu , Jedidiah O. Thompson

We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to…

High Energy Physics - Theory · Physics 2021-07-28 Andreas Brandhuber , Gang Chen , Gabriele Travaglini , Congkao Wen

The duality between color and kinematics enables the construction of multiloop gravity integrands directly from corresponding gauge-theory integrands. This has led to new nontrivial insights into the structure of gravity theories, including…

High Energy Physics - Theory · Physics 2016-05-18 Zvi Bern , Scott Davies , Josh Nohle

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

The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory object, which linearises the Yang-Mills equations. This…

High Energy Physics - Theory · Physics 2020-08-26 Luigi Alfonsi , Chris D. White , Sam Wikeley

We give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality. Amplitudes are constructed using double copies of pure…

High Energy Physics - Theory · Physics 2015-11-11 Henrik Johansson , Alexander Ochirov

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

We show that color-kinematics duality is a manifest property of the equations of motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this insight enables an implementation of the double copy at the level of…

High Energy Physics - Theory · Physics 2021-11-18 Clifford Cheung , James Mangan
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