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Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard…

High Energy Physics - Theory · Physics 2022-06-28 Mariana Carrillo-González , Claudia de Rham , Andrew J. Tolley

We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the…

High Energy Physics - Theory · Physics 2019-05-29 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

Scattering amplitudes of the spin-4/3 fractional superstring are shown to satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level in the string perturbation expansion. This fractional superstring is characterized by…

High Energy Physics - Theory · Physics 2009-10-22 Philip C. Argyres , S. -H. Henry Tye

Motivated by recent progress in the high-energy description of gravitational scattering, we develop a systematic Regge-theory framework for $2\to2+n$ amplitudes describing the scattering of two massive particles with $n$ graviton emissions,…

High Energy Physics - Theory · Physics 2026-01-30 Francesco Alessio , Vittorio Del Duca , Riccardo Gonzo , Emanuele Rosi

In this paper, we study loop corrections to the recently proposed new soft theorem of Cachazo-Strominger, for both gravity and gauge theory amplitudes. We first review the proof of its tree-level validity based on BCFW recursion relations,…

High Energy Physics - Theory · Physics 2015-06-19 Song He , Yu-tin Huang , Congkao Wen

We construct tree-level amplitude for massive particles using on-shell recursion relations based on two classes of momentum shifts: an all-line transverse shift that deforms momentum by its transverse polarization vector, and a massive…

High Energy Physics - Phenomenology · Physics 2024-11-14 Yohei Ema , Ting Gao , Wenqi Ke , Zhen Liu , Kun-Feng Lyu , Ishmam Mahbub

Using the principles of the modern scattering amplitudes programme, we develop a formalism for constructing the amplitudes of three-dimensional topologically massive gauge theories and gravity. Inspired by recent developments in four…

High Energy Physics - Theory · Physics 2021-04-16 Nathan Moynihan

We complete the generalisation of the BCFW recursion relation to the off-shell case, allowing for the computation of tree level scattering amplitudes for full High Energy Factorisation (HEF), i.e. with both incoming partons having a…

High Energy Physics - Phenomenology · Physics 2017-02-03 Andreas van Hameren , Krzysztof Kutak , Mirko Serino

We show that the half-integrands in the CHY representation of tree amplitudes give rise to the definition of differential forms -- the scattering forms -- on the moduli space of a Riemann sphere with $n$ marked points. These differential…

High Energy Physics - Theory · Physics 2018-04-04 Leonardo de la Cruz , Alexander Kniss , Stefan Weinzierl

We consider $D$-dimensional amplitudes in $R^2$ gravities (conformal gravity in $D=4$) and in the recently introduced $(DF)^2$ gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related…

High Energy Physics - Theory · Physics 2017-11-21 Thales Azevedo , Oluf Tang Engelund

We find a large class of supersymmetric domain wall solutions from six-dimensional $N=(2,2)$ gauged supergravity with various gauge groups. In general, the embedding tensor lives in $\mathbf{144}_c$ representation of the global symmetry…

High Energy Physics - Theory · Physics 2021-08-27 Parinya Karndumri , Patharadanai Nuchino

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…

High Energy Physics - Theory · Physics 2025-09-23 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory. We show that the D3-brane loop superamplitudes can be obtained from the…

High Energy Physics - Theory · Physics 2020-08-26 Congkao Wen , Shun-Qing Zhang

Recent studies of scattering amplitudes in planar N=4 SYM theory revealed the existence of a hidden dual superconformal symmetry. Together with the conventional superconformal symmetry it gives rise to powerful restrictions on the planar…

High Energy Physics - Theory · Physics 2014-11-20 G. P. Korchemsky , E. Sokatchev

We show that on-shell recursion relations hold for tree amplitudes in generic two derivative theories of multiple particle species and diverse spins. For example, in a gauge theory coupled to scalars and fermions, any amplitude with at…

High Energy Physics - Theory · Physics 2011-03-02 Clifford Cheung

The search for a theory of the S-Matrix has revealed surprising geometric structures underlying amplitudes ranging from the worldsheet to the amplituhedron, but these are all geometries in auxiliary spaces as opposed to kinematic space…

High Energy Physics - Theory · Physics 2018-06-13 Nima Arkani-Hamed , Yuntao Bai , Song He , Gongwang Yan

We study supersymmetric $AdS_4\times \Sigma_2$ and $AdS_3\times \Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\times SU(2)$ gauge group. The gauged supergravity is obtained by coupling three vector…

High Energy Physics - Theory · Physics 2018-12-31 Parinya Karndumri

Motivated by the study of extreme mass-ratio binary systems, recent work has explored the use of curved backgrounds in computations of classical gravitational amplitudes [arXiv:2308.15304, arXiv:2308.14832, arXiv:2406.14770]. While these…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Carl Jordan Eriksen

We present a novel ten-dimensional description of ambitwistor strings. This formulation is based on a set of supertwistor variables involving pure spinors and a set of constraints previously introduced in the context of the $D=10$…

High Energy Physics - Theory · Physics 2020-11-04 Diego García Sepúlveda , Max Guillen

In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in $D$ dimensional…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Ibrahim Gullu
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