Reduction of Feynman Integrals in the Parametric Representation III: Integrals with Cuts

Abstract

Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce integrals with cuts. Since the IBP method is available, it becomes possible to evaluate integrals with cuts by constructing and solving differential equations.

6 pages, 1 figure, matches published version

References in corpus (4)

• Reducing differential equations for multiloop master integrals
• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• Modern techniques of multiloop calculations
• Reduction of Feynman Integrals in the Parametric Representation II: Reduction of Tensor Integrals

Cited by in corpus (4)

• Emergence of Calabi-Yau manifolds in high-precision black hole scattering
• Soft Theorem to Three Loops in QCD and $\mathcal{N}=4$ Super Yang-Mills Theory
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• Unregulated Divergences of Feynman Integrals