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Related papers: Amplitudes and 4D Gauss-Bonnet Theory

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We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

Tree and loop level scattering amplitudes which involve physical massless bosons are derived directly from physical constraints such as locality, symmetry and unitarity, bypassing path integral constructions. Amplitudes can be projected…

High Energy Physics - Theory · Physics 2018-06-13 Rutger H. Boels , Hui Luo

We continue to investigate correspondences between, on the one hand, scattering amplitudes for massive higher-spin particles and gravitons in appropriate quantum-to-classical limits, and on the other hand, classical gravitational…

High Energy Physics - Theory · Physics 2023-06-08 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a…

High Energy Physics - Theory · Physics 2014-11-18 Nima Arkani-Hamed , Jared Kaplan

In this paper we study the Lorentzian path-integral of Gauss-Bonnet gravity in the mini-superspace approximation in four spacetime dimensions and investigate the transition amplitude from one configuration to another. Past studies motivate…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Gaurav Narain

We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as…

High Energy Physics - Theory · Physics 2017-02-16 Clifford Cheung , Anton de la Fuente , Raman Sundrum

In a toy model of gauge and gravitational interactions in $D \ge 4$ dimensions, endowed with an invariant UV cut-off $\Lambda$, and containing a large number $N$ of non-self-interacting matter species, the physical gauge and gravitational…

High Energy Physics - Theory · Physics 2009-11-07 G. Veneziano

At tree-level, scattering amplitudes involving only gluons or gravitons are unaffected by supersymmetry, allowing them to be efficiently encoded by and extracted from those of maximally supersymmetric (N=4,8) theories. This fails beyond…

High Energy Physics - Theory · Physics 2026-01-01 Jacob L. Bourjaily

Lorentz invariance, unitarity, and causality enforce powerful constraints on the theory space of physical scattering amplitudes. However, virtually all efforts in this direction have centered on the very simplest case of four-point…

High Energy Physics - Theory · Physics 2025-07-17 Clifford Cheung , Grant N. Remmen

We consider the scattering amplitudes of the form V_1 V_2 -> V_3 V_4, where V_i=\gamma, Z, W or g(=gluon) are the Standard Model gauge bosons, due to graviton exchange in Kaluza-Klein theories with large extra dimensions. This leads to a…

High Energy Physics - Phenomenology · Physics 2009-10-31 David Atwood , Shaouly Bar-Shalom , Amarjit Soni

We derive the subleading soft graviton theorem in a generic quantum theory of gravity for arbitrary number of soft external gravitons and arbitrary number of finite energy external states carrying arbitrary mass and spin. Our results are…

High Energy Physics - Theory · Physics 2018-01-17 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Biswajit Sahoo , Ashoke Sen , Mritunjay Verma

We investigate the Brower-Goddard extension of the Veneziano and Virasoro-Shapiro four-point amplitudes obtained by generalizing the Koba-Nielsen integrals to $d$-dimensional conformally invariant integrals. The amplitudes derived from this…

High Energy Physics - Theory · Physics 2024-06-28 N. Emil J. Bjerrum-Bohr , Christian Baadsgaard Jepsen

Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. In this paper, we…

High Energy Physics - Theory · Physics 2025-01-17 Samim Akhtar

We review the basic assumptions and spell out the detailed arguments that lead to the bound on the Regge growth of gravitational scattering amplitudes. The minimal extra ingredient compared to the gapped case - in addition to unitarity,…

High Energy Physics - Theory · Physics 2024-01-31 Kelian Häring , Alexander Zhiboedov

We compute the semi-classical potential arising from a generic theory of cubic gravity, a higher derivative theory of spin-2 particles, in the framework of modern amplitude techniques. We show that there are several interesting aspects of…

High Energy Physics - Theory · Physics 2020-01-29 William T Emond , Nathan Moynihan

We develop a formalism for describing the most general notion of tree-level scattering amplitudes in 4d conformal higher spin theory. As conformal higher spin fields obey higher-derivative equations of motion, there are many distinct…

High Energy Physics - Theory · Physics 2018-09-13 Tim Adamo , Simon Nakach , Arkady A. Tseytlin

We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that…

High Energy Physics - Theory · Physics 2019-12-25 Brando Bellazzini , Matthew Lewandowski , Javi Serra

We study a novel class of higher derivative theories for interacting massless gravitons in Minkowski spacetime. These theories were first discussed by Wald decades ago, and are characterized by scattering amplitudes essentially different…

High Energy Physics - Theory · Physics 2018-05-15 Dong Bai , Yu-Hang Xing

We evaluate the one-loop four-graviton scattering amplitude in type-II superstring theory exactly in $\alpha'$. This result is achieved by combining physical insights into the $i\varepsilon$ prescription in string theory with a new…

High Energy Physics - Theory · Physics 2026-02-25 Marco Maria Baccianti , Lorenz Eberhardt , Sebastian Mizera

We re-analyze a possible ambiguity in the application of dimensional regularization to Einstein-Gauss-Bonnet gravity, arising from the way one treats the Gauss-Bonnet term. It is demonstrated that the addition of such a term to the action…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Jan-Peter Boernsen , Anton E. M. van de Ven