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We present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory…

High Energy Physics - Theory · Physics 2018-04-04 Yvonne Geyer , Ricardo Monteiro

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 prove that the scattering equation formalism for Yang-Mills amplitudes can be used to make manifest the theory's color-kinematics duality. This is achieved through a concrete reduction algorithm which renders this duality manifest…

High Energy Physics - Theory · Physics 2016-10-12 N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Poul H. Damgaard , Bo Feng

Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first proposed by W. Bardeen. We study this problem in the…

High Energy Physics - Theory · Physics 2024-01-10 Ricardo Monteiro , Ricardo Stark-Muchão , Sam Wikeley

The double copy relates scattering amplitudes in gauge and gravity theories. In this paper, we expand the scope of the double copy to construct spacetime metrics through a systematic perturbative expansion. The perturbative procedure is…

High Energy Physics - Theory · Physics 2017-04-18 A. Luna , R. Monteiro , I. Nicholson , A. Ochirov , D. O'Connell , N. Westerberg , C. D. White

We construct entangled states of gluons that scatter exactly as if they were gravitons. Operationally, these objects implement the double copy at the level of the wave function. Our analysis begins with a general ansatz for a wave function…

High Energy Physics - Theory · Physics 2020-05-28 Clifford Cheung , Grant N. Remmen

The double copy relationship between Yang-Mills theory and general relativity can be stated in terms of a field theory Kawai-Lewellen-Tye (KLT) momentum kernel, which maps two colour-ordered gluon amplitudes to a graviton amplitude at…

High Energy Physics - Theory · Physics 2024-06-21 Tim Adamo , Sonja Klisch

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

Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper,…

High Energy Physics - Theory · Physics 2018-12-27 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We are investigating if the double copy structure as product of scattering amplitudes of gauge theories applies to cosmological correlators computed in a class of theories for inflation by the operatorial version of the In-In formalism of…

High Energy Physics - Theory · Physics 2020-05-06 A. R. Fazio

The double copy relates gauge and gravitational theories, with widespread application to quantum scattering amplitudes and classical perturbative results. It also connects exact classical solutions of Abelian gauge and gravitational…

High Energy Physics - Theory · Physics 2025-10-02 Brian Kent , Aaron Zimmerman

We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

We find that unitarity cuts and the duality between color and kinematics are sufficient constraints to bootstrap $D$-dimensional QCD scattering amplitudes starting from three-particle tree-level. Specifically, we calculate tree level…

High Energy Physics - Theory · Physics 2024-09-25 John Joseph M. Carrasco , Aslan Seifi

Recent explorations on how to construct a double copy of massive gauge fields have shown that, while any amplitude can be written in a form consistent with colour-kinematics duality, the double copy is generically unphysical. In this paper,…

High Energy Physics - Theory · Physics 2021-07-13 Mariana Carrillo González , Arshia Momeni , Justinas Rumbutis

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

In this paper, we have introduced a fundamentally different approach, based on a bottom-up methodology, to expand tree-level Yang-Mills (YM) amplitudes into Yang-Mills-scalar (YMS) amplitudes and Bi-adjoint-scalar (BAS) amplitudes. Our…

High Energy Physics - Theory · Physics 2026-05-05 Chang Hu , Kang Zhou

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using…

High Energy Physics - Theory · Physics 2013-05-29 Z. Bern , C. Boucher-Veronneau , H. Johansson

Celestial amplitudes which use conformal primary wavefunctions rather than plane waves as external states offer a novel opportunity to study properties of amplitudes with manifest conformal covariance and give insight into a potential…

High Energy Physics - Theory · Physics 2021-09-01 Eduardo Casali , Andrea Puhm

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a…

High Energy Physics - Theory · Physics 2025-12-04 Tomas Brauner , Yang Li , Diederik Roest , Tianzhi Wang