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Related papers: Scalar-Graviton Amplitudes

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We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known four, five, and six graviton one-loop amplitudes for which the external legs have identical…

High Energy Physics - Theory · Physics 2010-10-27 Andreas Brandhuber , Simon McNamara , Bill Spence , Gabriele Travaglini

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Mikko Partanen , Jukka Tulkki

Using the recent formula presented by He and Cachazo-Mason-Skinner for the link representation of tree-level N=8 supergravity amplitudes, we derived a CSW-like expansion for the Next-to-MHV 6- and 7-graviton amplitudes by using the global…

High Energy Physics - Theory · Physics 2015-06-12 Brenda Penante , Sayeh Rajabi , Grigory Sizov

We discuss giant graviton expansions for the Schur index of ${\cal N}=4$ $U(N)$ SYM with the insertion of Wilson lines of the fundamental and the anti-fundamental representations. We first propose a double-sum giant graviton expansion and…

High Energy Physics - Theory · Physics 2024-04-02 Yosuke Imamura

Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction…

High Energy Physics - Theory · Physics 2012-12-24 Gregory Gabadadze , Kurt Hinterbichler , Justin Khoury , David Pirtskhalava , Mark Trodden

We discuss locally Weyl (scale) covariant generalisations of gravitational theories using Riemann-Cartan-Weyl space-times in arbitrary dimensions. We demonstrate the procedure of Weyl gauging on two examples in particular: General…

General Relativity and Quantum Cosmology · Physics 2019-04-18 Tekin Dereli , Cem Yetişmişoğlu

We prove in two ways that, for a special class of nonlocal field theories consistent with linear and non-linear stability at the classical level, and with unitarity and super-renormalizability or finiteness at the quantum level, the…

High Energy Physics - Theory · Physics 2021-10-29 Leonardo Modesto , Gianluca Calcagni

We use the formulation of conformal higher spin (CHS) theories in twistor space to study their tree-level scattering amplitudes, finding expressions for all three-point anti-MHV amplitudes and all MHV amplitudes involving positive helicity…

High Energy Physics - Theory · Physics 2017-04-26 Tim Adamo , Philipp Haehnel , Tristan McLoughlin

Doubly-holographic models, also known as Karch-Randall brane worlds, have shown to be very useful for understanding recent developments around computing entropies in semi-classical gravity coupled to conformal matter. Although there cannot…

High Energy Physics - Theory · Physics 2021-05-05 Dominik Neuenfeld

We study a solution of the field equations for dilatonic gravity and obtain its post-post-newtonian limit. It turns out that terms to this and higher orders in the expansion may become important in strong gravitational fields, even though…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Matos , H. Villegas

In the metric formulation gravitons are described with the parity symmetric $S_+^2\otimes S_-^2$ representation of Lorentz group. General Relativity is then the unique theory of interacting gravitons with second order field equations. We…

High Energy Physics - Theory · Physics 2015-10-27 Kirill Krasnov

Main results of our recent investigations on five-dimensional scenarios of massive (bi-)gravity will be summarized in this article. In particular, we will show how to construct higher dimensional massive graviton terms from the…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Tuan Q. Do

In this lecture we summarize recent calculations pointing to the possible ultraviolet finiteness of N = 8 supergravity in four dimensions. We outline the modern unitarity method, which enables multiloop calculations in this theory and…

High Energy Physics - Theory · Physics 2009-03-02 Z. Bern , J. J. M. Carrasco , H. Johansson

We examine the double copy structure of anyons in gauge theory and gravity. Using on-shell amplitude techniques, we construct little group covariant spinor-helicity variables describing massive particles with spin, which together with…

High Energy Physics - Theory · Physics 2021-12-21 Daniel J Burger , William T. Emond , Nathan Moynihan

We study the New Massive Gravity extended by the curvature cubed invariant and the Cosmological Constant using the tree-level scattering amplitudes on a maximally symmetric space-time. We identify the parameter space, consisting of the…

High Energy Physics - Theory · Physics 2020-06-16 Giorgi Tukhashvili

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

In this paper we evaluate the modified celestial amplitude for gravitons and gluons, as defined in arXiv:1801.10171[hep-th]. We find that the modified (tree) amplitude is finite for gravitons in Einstein gravity. The modified amplitude…

High Energy Physics - Theory · Physics 2020-04-22 Shamik Banerjee , Sudip Ghosh , Pranjal Pandey , Arnab Priya Saha

We find a construction that expresses any tree-level $n$-particle ${\rm N^{k-2}MHV}$ color-ordered partial amplitude in gauge theory as a linear combination of a basis of dimension $\eulerian{n-3}{k-2}$. Here $\eulerian{p}{q}$ denotes the…

High Energy Physics - Theory · Physics 2016-01-26 Freddy Cachazo , Guojun Zhang

In this paper we study the multipole expansion of the long-wavelength effective action for radiative sources in ($d$+1) spacetime dimensions. We present detailed expressions for the multipole moments for the case of scalar-,…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Loris Amalberti , François Larrouturou , Zixin Yang

The double-soft limit of gluon and graviton amplitudes is studied in four dimensions at tree level. In general this limit is ambiguous and we introduce two natural ways of taking it: A consecutive double-soft limit where one particle is…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Klose , Tristan McLoughlin , Dhritiman Nandan , Jan Plefka , Gabriele Travaglini