Soft Radiation from Scattering Amplitudes Revisited

Abstract

We apply the recently developed formalism by Kosower, Maybee and O'Connell (KMO) to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in Four and higher dimensions. We use this formalism in conjunction with quantum soft theorems to derive radiative electro-magnetic and gravitational fields in low frequency expansion and to next to leading order in the coupling. We show that in all dimensions, the classical limit of sub-leading soft (photon and graviton) theorems is consistent with the classical soft theorems proved by Sen et al in a series of papers. In particular Saha, Sahoo and Sen proved classical soft theorems for electro-magnetic and gravitational radiation in Four dimensions. For the class of scattering processes that can be analyzed using KMO formalism, we show that the classical limit of quantum soft theorems is consistent with these classical soft theorems, paving the way for their proof from scattering amplitudes.

arXiv comment53 pages, Improved presentation, typos corrected

References in corpus (41)

• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• General Relativity from Scattering Amplitudes
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Evidence for a New Soft Graviton Theorem
• Radiation and the classical double copy for color charges
• From Boundary Data to Bound States
• Observables and amplitudes for spinning particles and black holes
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Kerr Black Holes as Elementary Particles
• $\pi \pi$ Scattering in Three Flavour ChPT
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• On Post-Minkowskian Hamiltonians in General Relativity
• From Boundary Data to Bound States II: Scattering Angle to Dynamical Invariants (with Twist)
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Color-Kinematics Duality for QCD Amplitudes
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Double copy for massive quantum particles with spin
• Gravitational Radiation from Color-Kinematics Duality
• Light-like Scattering in Quantum Gravity
• Universality in the classical limit of massless gravitational scattering
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• Classical potential for general spinning bodies
• Soft Photon and Graviton Theorems in Effective Field Theory
• Infrared features of gravitational scattering and radiation in the eikonal approach
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Gravity Waves from Soft Theorem in General Dimensions
• An $S$-Matrix for Massless Particles
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• On the Double Copy for Spinning Matter
• Subleading Soft Theorem for Multiple Soft Gravitons
• From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
• Subleading Soft Graviton Theorem for Loop Amplitudes
• Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
• The Double Copy of Massive Scalar-QCD
• A Classical Proof of the Classical Soft Graviton Theorem in D>4
• Scattering amplitudes in gauge theories with and without supersymmetry

Cited by in corpus (15)

• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Classical Solutions and their Double Copy in Split Signature
• Asymptotic dynamics on the worldline for spinning particles
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Black Holes in Klein Space
• Light-ray operators, detectors and gravitational event shapes
• Soft Gravity by Squaring Soft QED on the Celestial Sphere
• Spin Dependent Gravitational Tail Memory in $D=4$
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Yang-Mills observables: from KMOC to eikonal through EFT
• NS-NS Spacetimes from Amplitudes
• Smoothness of Classical Limit in KMOC Formalism