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20132026
most citedScattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

538 citations · 3.6k across the 37 of their papers we have counts for

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hep-th2026

Five-point spinor-helicity Compton amplitudes in gauge theory and gravity

Raikhik Das, Mao Zeng

We calculate the five-point tree-level Compton amplitudes for minimally coupled spinning matter in gauge theory and gravity in the massive spinor-helicity formalism, using BCFW rec…

hep-th2023★ 2 cited

Conservative binary dynamics at order in electrodynamics

Zvi Bern, Enrico Herrmann, Radu Roiban +4

We compute the potential-photon contributions to the classical relativistic scattering angle of two charged non-spinning bodies in electrodynamics through fifth order in the coupli…

hep-th2023★ 49 cited

Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model

Leor Barack, Zvi Bern, Enrico Herrmann +8

We compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying a scalar cha…

hep-th2022★ 87 cited

Conservative Binary Dynamics with a Spinning Black Hole at from Scattering Amplitudes

Fernando Febres Cordero, Manfred Kraus, Guanda Lin +2

We compute the conservative two-body Hamiltonian of a compact binary system with a spinning black hole through to all orders in velocity, including linear and qu…

hep-th2022★ 17 cited

Snowmass White Paper: Gravitational Waves and Scattering Amplitudes

Alessandra Buonanno, Mohammed Khalil, Donal O'Connell +3

We review recent progress and future prospects for harnessing powerful tools from theoretical high-energy physics, such as scattering amplitudes and effective field theory, to deve…

hep-th2021★ 46 cited

Scalar QED as a toy model for higher-order effects in classical gravitational scattering

Zvi Bern, Juan Pablo Gatica, Enrico Herrmann +2

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We inves…

hep-th2021★ 205 cited

Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at

Zvi Bern, Julio Parra-Martinez, Radu Roiban +4

We complete the calculation of conservative two-body scattering dynamics at fourth post-Minkowskian order, i.e. and all orders in velocity, including radiative contributio…

hep-th2021★ 17 cited

Radiative Classical Gravitational Observables at from Scattering Amplitudes

Enrico Herrmann, Julio Parra-Martinez, Michael S. Ruf +1

We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and supergravity in the formalism of Kosower,…

hep-th2021★ 162 cited

Gravitational Bremsstrahlung from Reverse Unitarity

Enrico Herrmann, Julio Parra-Martinez, Michael S. Ruf +1

We compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in Newton's constant, ,…

hep-th2021★ 247 cited

Scattering Amplitudes and Conservative Binary Dynamics at

Zvi Bern, Julio Parra-Martinez, Radu Roiban +4

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, . As in pr…

hep-th2020★ 228 cited

Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory

Zvi Bern, Andres Luna, Radu Roiban +2

We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effe…

hep-th2020★ 177 cited

Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations

Julio Parra-Martinez, Michael S. Ruf, Mao Zeng

We use supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative pa…

hep-th2019★ 452 cited

Black Hole Binary Dynamics from the Double Copy and Effective Theory

Zvi Bern, Clifford Cheung, Radu Roiban +3

We describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. Our…

hep-th2019★ 538 cited

Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

Zvi Bern, Clifford Cheung, Radu Roiban +3

We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the mod…

hep-th2019★ 76 cited

The two-loop five-point amplitude in supergravity

Samuel Abreu, Lance J. Dixon, Enrico Herrmann +2

We compute the symbol of the two-loop five-point amplitude in supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only 4-di…

hep-th2018★ 137 cited

The two-loop five-point amplitude in super-Yang-Mills theory

Samuel Abreu, Lance J. Dixon, Enrico Herrmann +2

We compute the symbol of the two-loop five-point scattering amplitude in = 4 super-Yang-Mills theory, including its full color dependence. This requires constructing…

hep-th2018★ 1 cited

Two-loop D-dimensional unitarity and dual conformal symmetry

Zvi Bern, Michael Enciso, Harald Ita +1

In this talk we show that dual conformal symmetry has unexpected applications to Feynman integrals in dimensional regularization. Outside dimensions, the symmetry is anomalous,…

hep-th2018★ 72 cited

Differential equations from unitarity cuts: nonplanar hexa-box integrals

Samuel Abreu, Ben Page, Mao Zeng

We compute -factorized differential equations for all dimensionally-regularized integrals of the nonplanar hexa-box topology, which contribute for instance to 2-loop 5-point QCD…

hep-th2018★ 35 cited

Dual Conformal Structure Beyond the Planar Limit

Zvi Bern, Michael Enciso, Chia-Hsien Shen +1

The planar scattering amplitudes of super-Yang--Mills theory display symmetries and structures which underlie their relatively simple analytic properties such as…

hep-th2018★ 149 cited

Ultraviolet Properties of N = 8 Supergravity at Five Loops

Zvi Bern, John Joseph Carrasco, Wei-Ming Chen +5

We use the recently developed generalized double-copy construction to obtain an improved representation of the five-loop four-point integrand of supergravity whose leading…

hep-th2017★ 45 cited

Dual Conformal Symmetry, Integration-by-Parts Reduction, Differential Equations and the Nonplanar Sector

Zvi Bern, Michael Enciso, Harald Ita +1

We show that dual conformal symmetry, mainly studied in planar super-Yang-Mills theory, has interesting consequences for Feynman integrals in nonsupersymmetric the…

hep-th2017★ 120 cited

The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy

Zvi Bern, John Joseph M. Carrasco, Wei-Ming Chen +3

We use the recently developed generalized double-copy procedure to construct an integrand for the five-loop four-point amplitude of N=8 supergravity. This construction starts from…

hep-th2017★ 26 cited

Manifesting enhanced cancellations in supergravity: integrands versus integrals

Zvi Bern, Michael Enciso, Julio Parra-Martinez +1

Examples of "enhanced ultraviolet cancellations" with no known standard-symmetry explanation have been found in a variety of supergravity theories. By examining one- and two-loop e…

hep-th2017★ 35 cited

Differential equations on unitarity cut surfaces

Mao Zeng

We reformulate differential equations (DEs) for Feynman integrals to avoid doubled propagators in intermediate steps. External momentum derivatives are dressed with loop momentum d…