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We discuss an alternative approach to studying the low energy limit of quantum general relativity. We investigate the low energy limit of a scattering cross-section for two massive scalar particles. Unlike calculations involving the…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Boris Latosh , Anton Yachmenev

We study implications of perturbative unitarity for quasi-single field inflation with the inflaton and one massive scalar. Analyzing high energy scattering, we show that non-Gaussianities with $|f_{\rm NL}|\gtrsim1$ cannot be realized…

High Energy Physics - Theory · Physics 2021-07-21 Suro Kim , Toshifumi Noumi , Keito Takeuchi , Siyi Zhou

Fully non-linear, plane-symmetric exact solutions of the Einstein equations describing the scattering of gravitational and electromagnetic waves have existed for many years. For these closed-form solutions to be found, idealized wave…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Breanna Camden , Chris Stevens , John Forbes

The strong nature of Composite Higgs models manifests at high energies through the growing behavior of the scattering amplitudes of longitudinally polarized weak bosons that leads to the formation of composite resonances as well as…

High Energy Physics - Phenomenology · Physics 2018-02-08 Diogo Buarque Franzosi , Piero Ferrarese

It has recently been shown that specific non-perturbative effects may lead to an explosive decay of flat direction condensates in supersymmetric theories. We confirm explicitly the efficiency of this process with lattice simulations: after…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Jean-Francois Dufaux

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

High Energy Physics - Theory · Physics 2022-12-02 Da Liu , Zhewei Yin

We compute spin-flip cross section for graviton photoproduction on a spin-1/2 target of finite mass. Using this tree-level result, we find one-loop graviton correction to the spin-flip low-energy forward Compton scattering amplitude by…

High Energy Physics - Theory · Physics 2012-10-11 Hovhannes R. Grigoryan

We study compatibility of the Standard Model of particle physics and General Relativity by means of gravitational positivity bounds, which provide a necessary condition for a low-energy gravitational theory to be UV completable within the…

High Energy Physics - Theory · Physics 2021-09-01 Katsuki Aoki , Tran Quang Loc , Toshifumi Noumi , Junsei Tokuda

We develop a framework to derive consistency constraints on gravitational Regge amplitudes based on the finite energy sum rules (FESRs), which directly connect gravitational Regge amplitudes at a finite ultraviolet scale with infrared…

High Energy Physics - Theory · Physics 2023-06-21 Toshifumi Noumi , Junsei Tokuda

Quantum quadratic gravity (QQG) produces a tree-level differential cross section for $\gamma\gamma\to\gamma\gamma$ that is well-behaved at all energies. From this we can study how the corrections to low energy scattering amplitudes are…

High Energy Physics - Phenomenology · Physics 2022-04-28 Bob Holdom

The gravitational field of two-body system, a high energetic particle and a massive particle at rest, is studied in the linearized Einstein gravity. The ultrarelativistic particle yields a plane-fronted gravitational shockwave which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 D. V. Fursaev , V. A. Tainov

We study the time-independent scattering of a planar gravitational wave propagating in the curved spacetime of a compact body with a polytropic equation of state. We begin by considering the geometric-optics limit, in which the…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Tom Stratton , Sam R. Dolan

We study the projective properties of planar zeros of tree-level scattering amplitudes in various theories. Whereas for pure scalar field theories we find that the planar zeros of the five-point amplitude do not enjoy projective invariance,…

High Energy Physics - Theory · Physics 2017-05-05 Diego Medrano Jimenez , Agustin Sabio Vera , Miguel A. Vazquez-Mozo

We consider soft graviton scattering for a theory where Einstein's gravity is minimally coupled to a scalar field in the presence of a cosmological constant, i.e. in a background de Sitter space. Employing a perturbative expansion in a…

High Energy Physics - Theory · Physics 2025-12-08 Divyesh N. Solanki , Pratik Chattopadhyay , Srijit Bhattacharjee

A relativistic quantum model of particle scattering near the horizon of a microscopic black hole unifies gravity and the harmonic-oscillator force. The model is obtained by modifying a harmonic-oscillator nonstandard Lagrangian for a closed…

High Energy Physics - Theory · Physics 2007-05-23 Marcia J. King

We discuss effects of unitarity on the low-x behaviour of the structure functions of deeply inelastic scattering. Particular attention is paid to the distinction between Regge and Renormalization Group $J$-plane singularities and their…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. A. Petrov

We present a systematic study of high energy scattering of non-abelian gauge particles in (3+1) dimensional Einstein gravity using semi-classical techniques of Verlinde and Verlinde. It is shown that the BRST gauge invariance of the…

High Energy Physics - Theory · Physics 2010-11-01 Supriya Kar , Jnanadeva Maharana

We use the worldline formalism to study tree-level scattering processes involving gravitons. A massless spin 2 particle is described by an $N=4$ supersymmetric worldline action which is also $O(4)$ symmetric. More generally, $N=2S$…

High Energy Physics - Theory · Physics 2023-08-23 Yuchen Du , Diana Vaman

We analyze scattering amplitudes with one soft external graviton and arbitrary number of other finite energy external states carrying arbitrary mass and spin to sub-subleading order in the momentum of the soft graviton. Our result can be…

High Energy Physics - Theory · Physics 2017-11-22 Alok Laddha , Ashoke Sen

We show that in the quadratic curvature theory of gravity, or simply $R_{\mu \nu} ^2$ gravity, the tree-level unitariy bound (tree unitarity) is violated in the UV region but an analog for $S$-matrix unitarity ($SS^{\dagger} = 1$) is…

High Energy Physics - Theory · Physics 2021-06-16 Yugo Abe , Takeo Inami , Keisuke Izumi