Scattering Amplitudes from Soft Theorems and Infrared Behavior
arXiv:1807.09738 · doi:10.1103/PhysRevLett.122.071601
Abstract
We prove that soft theorems uniquely fix scattering amplitudes in a wide range of theories, including Yang-Mills, gravity, the non-linear sigma model, Dirac-Born-Infeld, dilaton effective theories, extended theories like NLSM or BIYM, as well as some higher derivative corrections to these theories. We conjecture the same is true even when imposing more general soft behavior, simply by assuming the existence of soft operators, or by imposing gauge invariance/the Adler zero only up to a finite order in soft expansions. Besides reproducing known amplitudes, this analysis reveals a new higher order correction to the NLSM, and two interesting facts: the subleading theorem for the dilaton, and the subsubleading theorem for DBI follow automatically from the more leading theorems. These results provide motivation that asymptotic symmetries contain enough information to fully fix a holographic S-matrix.
References in corpus (33)
- New Relations for Gauge-Theory Amplitudes
- Asymptotic symmetries and subleading soft graviton theorem
- Effective Field Theories from Soft Limits
- New symmetries for the Gravitational S-matrix
- Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
- A Periodic Table of Effective Field Theories
- Soft sub-leading divergences in Yang-Mills amplitudes
- Subleading soft theorem in arbitrary dimension from scattering equations
- Ultraviolet Properties of N = 8 Supergravity at Five Loops
- Constraining subleading soft gluon and graviton theorems
- Sub-subleading soft gravitons and large diffeomorphisms
- Diagrammatic insights into next-to-soft corrections
- Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
- Color Memory
- Ambitwistor strings at null infinity and subleading soft limits
- Vector Effective Field Theories from Soft Limits
- Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
- Subleading Soft Factor for String Disk Amplitudes
- Gravitational Memory in Higher Dimensions
- Subleading Soft Theorem for Multiple Soft Gravitons
- Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model
- Infinite Soft Theorems from Gauge Symmetry
- Asymptotic Symmetries and Subleading Soft Photon Theorem in Effective Field Theories
- New Formulas for Amplitudes from Higher-Dimensional Operators
- Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton
- Double-soft behavior of the dilaton of spontaneously broken conformal invariance
- Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models
- The Infrared Structure of Nambu-Goldstone Bosons
- Soft pion theorem, asymptotic symmetry and new memory effect
- The B-field soft theorem and its unification with the graviton and dilaton
- Hidden Conformal Symmetry in Tree-Level Graviton Scattering
- On the Symmetry Foundation of Double Soft Theorems
- Black Hole Information Revisited
Cited by in corpus (38)
- Scattering of Spinning Black Holes from Exponentiated Soft Factors
- Conformally Soft Theorem in Gauge Theory
- MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
- UV considerations on scattering amplitudes in a web of theories
- New Soft Theorems for Goldstone Boson Amplitudes
- Soft Bootstrap and Effective Field Theories
- MHV scattering of gluons and gravitons in chiral strong fields
- Soft Matters, or the Recursions with Massive Spinors
- Shift symmetries, soft limits, and the double copy beyond leading order
- New Flavor-Kinematics Dualities and Extensions of Nonlinear Sigma Models
- Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons
- Algebraic branch points at all loop orders from positive kinematics and wall crossing
- Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr() theory
- Massive Fishnets
- Universal Relations in Composite Higgs Models
- Tree level amplitudes from soft theorems
- Taming higher-derivative interactions and bootstrapping gravity with soft theorems
- The Infrared Structure of Exceptional Scalar Theories
- Higher-order tree-level amplitudes in the nonlinear sigma model
- Multi-spin soft bootstrap and scalar-vector Galileon
- All-Multiplicity One-Loop Amplitudes in Born-Infeld Electrodynamics from Generalized Unitarity
- Nonrelativistic effective field theories with enhanced symmetries and soft behavior
- Quantum Corrections to Generic Branes: DBI, NLSM, and More
- A Soft Theorem for the Tropical Grassmannian
- The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red
- Inflationary Adler Conditions
- Exploring the Landscape for Soft Theorems of Nonlinear Sigma Models
- Matter Couplings and Equivalence Principles for Soft Scalars
- On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
- Hidden Conformal Invariance of Scalar Effective Field Theories
- Non-linearly realized discrete symmetries
- Emergence of Unitarity and Locality from Hidden Zeros at One-Loop Order
- Constraining higher-spin S-matrices
- D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes
- FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
- UV consistency conditions for CHY integrands
- Tree and -loop fundamental BCJ relations from soft theorems
- Soft Theorems to All Orders from Four-Dimensional Ambitwistor Strings