Subleading soft theorem in arbitrary dimension from scattering equations

Abstract

We investigate the new soft graviton theorem recently proposed in arXiv:1404.4091. We use the CHY formula to prove this universal formula for both Yang-Mills theory and gravity scattering amplitudes at tree level in arbitrary dimension.

8 pages

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Cited by in corpus (116)

• New Symmetries of Massless QED
• Asymptotic symmetries and subleading soft graviton theorem
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Celestial amplitudes and conformal soft theorems
• Unifying Relations for Scattering Amplitudes
• The method of regions and next-to-soft corrections in Drell-Yan production
• Constraining subleading soft gluon and graviton theorems
• More on Soft Theorems: Trees, Loops and Strings
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Sub-sub-leading soft-graviton theorem in arbitrary dimension
• Diagrammatic insights into next-to-soft corrections
• Null Infinity and Unitary Representation of The Poincare Group
• Logarithmic Terms in the Soft Expansion in Four Dimensions
• Next-to-soft corrections to high energy scattering in QCD and gravity
• One-loop Scattering Equations and Amplitudes from Forward Limit
• Infrared features of gravitational scattering and radiation in the eikonal approach
• Perturbative gravity at null infinity
• Ambitwistor strings at null infinity and subleading soft limits
• New Double Soft Emission Theorems
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Noether's Second Theorem and Ward Identities for Gauge Symmetries
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Subleading Soft Factor for String Disk Amplitudes
• Soft Graviton Theorem in Arbitrary Dimensions
• Gluons and gravitons at one loop from ambitwistor strings
• Building Blocks for Subleading Helicity Operators
• Gravity Waves from Soft Theorem in General Dimensions
• Scattering Amplitudes from Soft Theorems and Infrared Behavior
• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• Perturbative gauge theory at null infinity
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• Cosmological Scattering Equations
• BMS, String Theory, and Soft Theorems
• A $d$-Dimensional Stress Tensor for Mink${}_{d+2}$ Gravity
• Soft Theorems in Superstring Theory
• Subleading Soft Theorem for Multiple Soft Gravitons
• On the soft limit of closed string amplitudes with massive states
• Conformal Invariance of the Subleading Soft Theorem in Gauge Theory
• Asymptotic Symmetries and Weinberg's Soft Photon Theorem in Mink${}_{d+2}$
• Subleading Soft Graviton Theorem for Loop Amplitudes
• Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
• Symmetries of free massless particles and soft theorems
• The Double Copy Structure of Soft Gravitons
• UV considerations on scattering amplitudes in a web of theories
• On the soft limit of open string disk amplitudes with massive states
• Scattering equations and virtuous kinematic numerators and dual-trace functions
• Note on soft theorems and memories in even dimensions
• Subsubleading soft theorems of gravitons and dilatons in the bosonic string
• Elimination and recursions in the scattering equations
• Double Soft Theorems and Shift Symmetry in Nonlinear Sigma Models
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• $\Lambda$ Scattering Equations
• Cosmological Scattering Equations at Tree-level and One-loop
• On the Subleading-Soft Behaviour of QCD Amplitudes
• Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton
• DDF operators, open string coherent states and their scattering amplitudes
• Soft Photon Theorem for High Energy Amplitudes in Yukawa and Scalar Theories
• $n$-point amplitudes with a single negative-helicity graviton
• On single and double soft behaviors in NLSM
• Double-soft behavior for scalars and gluons from string theory
• Soft Theorems from String Theory
• Note on asymptotic symmetries and soft gluon theorems
• Quadratic Feynman Loop Integrands From Massless Scattering Equations
• Double Soft Theorem for Perturbative Gravity
• Singular Solutions in Soft Limits
• Soft theorems in maximally supersymmetric theories
• Factorized soft graviton theorems at loop level
• Expansion of Einstein-Yang-Mills theory by Differential Operators
• Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
• Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
• Double Soft Limit of Graviton Amplitude from the Cachazo-He-Yuan Formalism
• Note on Soft Graviton theorem by KLT Relation
• Soft-collinear gravity beyond the leading power
• Soft Theorems from Effective Field Theory
• Gravitational soft theorem from emergent soft gauge symmetries
• Soft Graviton Emission at High and Low Energies in Yukawa and Scalar Theories
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• $1/L^2$ corrected soft photon theorem from a CFT${}_3$ Ward identity
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• The CHY representation of tree-level primitive QCD amplitudes
• Double-Soft Limits of Gluons and Gravitons
• Soft Theorem of N=4 SYM in Grassmannian Formulation
• Soft Photon theorem in the small negative cosmological constant limit
• Multiloop Soft Theorem for Gravitons and Dilatons in the Bosonic String
• Multi-Soft gluon limits and extended current algebras at null-infinity
• Matter Couplings and Equivalence Principles for Soft Scalars
• A Note on Soft Factors for Closed String Scattering
• Soft Theorems from Compactification
• A factorization approach to next-to-leading-power threshold logarithms
• New Magnetic Symmetries in $(d+2)$-Dimensional QED
• Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit
• A Monte Carlo Approach to the 4D Scattering Equations
• Soft factors from classical scattering on the Reissner-Nordström spacetime
• Note on Identities Inspired by New Soft Theorems
• Leading soft theorem for multiple gravitini
• Bootstrapping solutions of scattering equations
• CHY formulae in 4d
• One-loop integrand from generalised scattering equations
• Off-Shell Yang-Mills Amplitude in the CHY Formalism
• Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
• Leading multi-soft limits from scattering equations
• Multi-Regge kinematics and the scattering equations
• Tree and $1$-loop fundamental BCJ relations from soft theorems
• Soft gravitational radiation from multi-body collisions
• Soft Theorems and the KLT-Relation
• CHY Theory for Several Fields
• Fermions and the scattering equations
• Soft-Theorems for Scalar Particles: The Dilatons Story
• Sudakov Representation of the Cachazo-He-Yuan Scattering Equations Formalism
• Gravitational Scattering in the High-Energy Limit
• Helicity Constraints To Soft Factor Of All Spin
• Extended DBI and its generalizations from graded soft theorems