Constructing Amplitudes from Their Soft Limits

Abstract

The existence of universal soft limits for gauge-theory and gravity amplitudes has been known for a long time. The properties of the soft limits have been exploited in numerous ways; in particular for relating an n-point amplitude to an (n-1)-point amplitude by removing a soft particle. Recently, a procedure called inverse soft was developed by which "soft" particles can be systematically added to an amplitude to construct a higher-point amplitude for generic kinematics. We review this procedure and relate it to Britto-Cachazo-Feng-Witten recursion. We show that all tree-level amplitudes in gauge theory and gravity up through seven points can be constructed in this way, as well as certain classes of NMHV gauge-theory amplitudes with any number of external legs. This provides us with a systematic procedure for constructing amplitudes solely from their soft limits.

minor changes

References in corpus (9)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• All tree-level amplitudes in N=4 SYM
• Taming Tree Amplitudes In General Relativity
• Sharpening The Leading Singularity
• Tree Level Recursion Relations In General Relativity
• Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
• On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity
• Inverse Soft Factors and Grassmannian Residues
• New expressions for gravitational scattering amplitudes

Cited by in corpus (27)

• Evidence for a New Soft Graviton Theorem
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• BCJ duality and the double copy in the soft limit
• Wilson line approach to gravity in the high energy limit
• Scattering Amplitudes from Soft Theorems and Infrared Behavior
• Yang-Baxter operators and scattering amplitudes in $\mathcal{N}=4$ super-Yang-Mills theory
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• Unraveling conformal gravity amplitudes
• Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• On Soft Theorems And Form Factors In N=4 SYM Theory
• Soft Theorems from Effective Field Theory
• Tree level amplitudes from soft theorems
• Constructing Gravity Amplitudes from Real Soft and Collinear Factorisation
• All-order celestial OPE from on-shell recursion
• The analytic structure of amplitudes on backgrounds from gauge invariance and the infra-red
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• The n-point MHV one-loop Amplitude in N=4 Supergravity
• The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction
• Constructing EYM amplitudes by inverse soft limit
• Evaluating EYM amplitudes in four dimensions by refined graphic expansion
• Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
• Weighted Laplacians, cocycles and recursion relations
• Tree and $1$-loop fundamental BCJ relations from soft theorems
• Soft factors and interaction vertices from light-cone actions
• Deriving interaction vertices in higher derivative theories
• Helicity Spinor Methods and Tree Level QCD Corrections in Higgs Production via Weak Boson Fusion