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Related papers: The Duality Between Color and Kinematics and its A…

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Recently a duality between color and kinematics has been proposed, exposing a new unexpected structure in gauge theory and gravity scattering amplitudes. Here we propose that the relation goes deeper, allowing us to reorganize amplitudes…

High Energy Physics - Theory · Physics 2013-05-29 Zvi Bern , Tristan Dennen

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

Advances in scattering amplitudes have exposed previously-hidden color-kinematics and double-copy structures in theories ranging from gauge and gravity theories to effective field theories such as chiral perturbation theory and the…

High Energy Physics - Theory · Physics 2024-03-05 Zvi Bern , John Joseph Carrasco , Marco Chiodaroli , Henrik Johansson , Radu Roiban

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

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

Here we discuss color-kinematics duality for higher-derivative QCD-like amplitudes. We explicitly show that the duality still holds in this case and it can be instrumental in constructing the associated quadratic-gravity amplitudes by using…

High Energy Physics - Theory · Physics 2022-03-30 Gabriel Menezes

We clarify the relation between the classical double copy and the double copy for amplitudes in the setting of selfdual gauge and gravity theories. To this end we construct explicit all-order perturbative solutions in these theories and…

High Energy Physics - Theory · Physics 2025-03-21 Joris Raeymaekers

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the duality between color and kinematics manifest have been constructed in previous work. Here, we extend the discussion to fermions and scalars circulating in the loop…

High Energy Physics - Theory · Physics 2015-11-04 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

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…

High Energy Physics - Theory · Physics 2021-03-09 Eduardo Casali , Sebastian Mizera , Piotr Tourkine

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 propose an extension of the color-kinematics duality for nonlinear sigma models with nonsymmetric cosets. The role of color is played by curvatures in field space. The duality between curvature and kinematics allows for a new double…

High Energy Physics - Theory · Physics 2024-06-18 Andreas Helset

The conjectured duality between color and kinematics has significantly advanced our understanding of both gauge and gravitational theories. However, constructing numerators that manifest the color-kinematics (CK) duality, even for the…

High Energy Physics - Theory · Physics 2024-02-29 Zeyu Li , Gang Yang

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

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

In this talk, we review recent developments towards the calculation of multi-loop scattering amplitudes. In particular, we discuss how the colour-kinematics duality can provide new integral relations at one-loop level via the Loop-Tree…

High Energy Physics - Phenomenology · Physics 2018-01-10 William J. Torres Bobadilla

In this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in Einstein gravity. Previous analysis suggested that…

High Energy Physics - Theory · Physics 2013-11-05 Henrik Johansson , Agustin Sabio Vera , Eduardo Serna Campillo , Miguel A. Vazquez-Mozo

Classical double copy is an intriguing relationship between classical solutions to a gravity theory and solutions to classical Yang-Mills equations. Although formally inspired by the double copy relation between (quantum) scattering…

High Energy Physics - Theory · Physics 2020-02-19 Athira PV , A Manu

We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct the one-loop integrands for four-point scattering between two distinct massive scalars,…

High Energy Physics - Theory · Physics 2021-02-10 John Joseph M. Carrasco , Ingrid A. Vazquez-Holm
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