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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…

高能物理 - 理论 · 物理学 2026-02-25 Marco Maria Baccianti , Lorenz Eberhardt , Sebastian Mizera

We compute the potential-graviton contribution to the scattering amplitude, the radial action, and the scattering angle of two extremal black holes in N = 8 supergravity at the fifth post-Minkowskian order to next-to-leading order in a…

高能物理 - 理论 · 物理学 2025-09-23 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

We calculate the four-graviton scattering amplitude in Type II superstring theory at one loop up to seventh order in the low-energy expansion through the recently developed iterated integral formalism of Modular Graph Functions (MGFs). The…

高能物理 - 理论 · 物理学 2025-06-05 Emiel Claasen , Mehregan Doroudiani

A modification of the harmonic superfield formalism in $D=4, N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity…

高能物理 - 理论 · 物理学 2014-11-18 B. M. Zupnik

A calculational scheme of quantum-gravitational effects on the physical quantities is proposed. The calculations are performed in 4-$\epsilon$ dimension with $1/N$-expansion scheme, where the Einstein gravity is renormalizable and it has an…

高能物理 - 理论 · 物理学 2009-10-22 Kazuo Ghoroku

We compute the four-point amplitude with external adjoint particles in $\mathcal{N}=2$ SCQCD at two loops using $\mathcal{N}=1$ superspace Feynman diagrams, extending the results of arXiv:1406.7283. We consider the diagrammatic difference…

高能物理 - 理论 · 物理学 2015-06-15 Marta Leoni , Andrea Mauri , Alberto Santambrogio

We discuss the ultra-relativistic gravitational scattering of two massive particles at two-loop (3PM) level. We find that in this limit the real part of the eikonal, determining the deflection angle, is universal for gravitational theories…

高能物理 - 理论 · 物理学 2020-12-30 Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano

We investigate the different energy regimes in the conjectured SL(2,Z) invariant four graviton scattering amplitude that incorporates D-instanton contributions in 10d type IIB superstring theory. We show that the infinite product over…

高能物理 - 理论 · 物理学 2010-04-05 Jorge G. Russo

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

高能物理 - 理论 · 物理学 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes…

高能物理 - 理论 · 物理学 2018-12-18 Yvonne Geyer , Ricardo Monteiro

Following a semi-classical eikonal approach --- justified at transplanckian energies order by order in the deflection angle $\Theta_s\sim\frac{4G\sqrt{s}}{b} \equiv \frac{2 R}{b}$ --- we investigate the infrared features of gravitational…

高能物理 - 理论 · 物理学 2019-03-27 Marcello Ciafaloni , Dimitri Colferai , Gabriele Veneziano

The rigorous treatment of four-particle intermediate and final states poses a major challenge for lattice calculations of scattering and decay amplitudes, as well as long-distance matrix elements. As a step towards addressing these…

高能物理 - 格点 · 物理学 2026-03-26 Rajnandini Mukherjee , Maxwell T. Hansen

Weak gravity in the brane world scenario with a scalar field in the bulk between two end-of-the-world branes is investigated by using the doubly gauge invariant formalism. We review the result that Einstein gravity is restored in the low…

高能物理 - 理论 · 物理学 2008-11-26 Shinji Mukohyama

We study loop corrections to positivity bounds on effective field theories in the context of $2\to 2$ scattering in gravitational theories, in the presence of light particles. It has been observed that certain negative contributions at low…

高能物理 - 理论 · 物理学 2024-11-07 Simon Caron-Huot , Junsei Tokuda

By using the Renormalization Group Equations in Chiral Perturbation Theory, one can calculate the double chiral logs that appear at two loops in any matrix element. We calculate them in the $\pi \pi$ scattering amplitude, where they…

高能物理 - 唯象学 · 物理学 2009-10-28 Gilberto Colangelo

We consider single graviton loop corrections to the effective field equation of a massless, minimally coupled scalar on de Sitter background in the simplest gauge. We find a large temporal logarithm in the approach to freeze-in at late…

广义相对论与量子宇宙学 · 物理学 2022-03-16 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

The low-momentum expansion of the two-loop four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a circle and a two-torus is considered up to terms of order S^6R^4 (where S is a Mandelstam invariant and R is…

高能物理 - 理论 · 物理学 2009-11-13 Michael B. Green , Jorge G. Russo , Pierre Vanhove

We compute the potential-graviton contributions to the conservative scattering angle of two non-spinning bodies in maximal supergravity at fifth order in Newton's constant, including second-order self-force effects. Our goal is to tackle…

高能物理 - 理论 · 物理学 2026-01-21 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

We compute the anomalous two-loop four-point amplitudes in N=4 pure supergravity, using unitarity and the double-copy construction. We also present all terms determined by four-dimensional cuts in two all-multiplicity two-loop anomalous…

高能物理 - 理论 · 物理学 2020-04-07 Zvi Bern , David Kosower , Julio Parra-Martinez

We examine the stability of the mass hierarchy in hidden-sector supergravity theories. We show that a quadratically divergent tadpole can appear at two loops, even in minimal supergravity theories, provided the theory has a gauge- and…

高能物理 - 唯象学 · 物理学 2009-09-15 Jonathan Bagger , Erich Poppitz , Lisa Randall