Single Cut Integration

Abstract

We present an analytic technique for evaluating single cuts for one-loop integrands, where exactly one propagator is taken to be on shell. Our method extends the double-cut integration formalism of one-loop amplitudes to the single-cut case. We argue that single cuts give meaningful information about amplitudes when taken at the integrand level. We discuss applications to the computation of tadpole coefficients.

v2: corrected typo in abstract

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Cited by in corpus (22)

• On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes
• Decomposition of Feynman Integrals by Multivariate Intersection Numbers
• Loop amplitudes in gauge theories: modern analytic approaches
• Generic multiloop methods and application to N=4 super-Yang-Mills
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Integrand Reduction for Two-Loop Scattering Amplitudes through Multivariate Polynomial Division
• One-loop monodromy relations on single cuts
• BCJ Identities and $d$-Dimensional Generalized Unitarity
• The Q-cut Representation of One-loop Integrands and Unitarity Cut Method
• One-Loop Yang-Mills Integrands from Scattering Equations
• External leg corrections in the unitarity method
• Analytic Tadpole Coefficients of One-loop Integrals
• One-loop Feynman Integral Reduction by Differential Operators
• Generation Function For One-loop Tensor Reduction
• Reduction of General One-loop Integrals Using Auxiliary Vector
• Reduction with Degenerate Gram matrix for One-loop Integrals
• Universal Treatment of Reduction for One-Loop Integrals in Projective Space
• Nontrivial One-loop Recursive Reduction Relation
• Reduction of one-loop integrals with higher poles by unitarity cut method
• Application of BCFW-recursion relations and the Feynman-tree theorem to the four gluon amplitude with all plus helicities
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Integrands of Less-Supersymmetric Yang-Mills at One Loop