Generation Function For One-loop Tensor Reduction
arXiv:2209.09517 · doi:10.1088/1572-9494/aca253
Abstract
For loop integrals, the reduction is the standard method. Having an efficient way to find reduction coefficients is an important topic in scattering amplitudes. In this paper, we present the generation functions of reduction coefficients for general one-loop integrals with arbitrary tensor rank.
38 Pages. Mistakes have been fixed
References in corpus (38)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- MHV Vertices And Tree Amplitudes In Gauge Theory
- Kira - A Feynman Integral Reduction Program
- FIRE6: Feynman Integral REduction with Modular Arithmetic
- A novel approach to integration by parts reduction
- Reduze 2 - Distributed Feynman Integral Reduction
- D-dimensional unitarity cut method
- One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
- One-Loop Amplitudes Of Gluons In SQCD
- Explicit solutions of the multi-loop integral recurrence relations and its application
- Feynman Integrals and Intersection Theory
- The Cut-Constructible Part of QCD Amplitudes
- Vector Space of Feynman Integrals and Multivariate Intersection Numbers
- Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
- Hepta-Cuts of Two-Loop Scattering Amplitudes
- On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes
- Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods
- Decomposition of Feynman Integrals by Multivariate Intersection Numbers
- Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
- Integral Coefficients for One-Loop Amplitudes
- Duals of Feynman Integrals, I: Differential Equations
- From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals
- Duals of Feynman Integrals, 2: Generalized Unitarity
- The NLO multileg working group: summary report
- Single Cut Integration
- Analytic Tadpole Coefficients of One-loop Integrals
- One-loop Feynman Integral Reduction by Differential Operators
- PV-Reduction of Sunset Topology with Auxiliary Vector
- Reduction of General One-loop Integrals Using Auxiliary Vector
- Reduction with Degenerate Gram matrix for One-loop Integrals
- Module Intersection and Uniform Formula for Iterative Reduction of One-loop Integrals
- Nontrivial One-loop Recursive Reduction Relation
- Iteratively Reduce Auxiliary Scalar Product in Multi-loop Integrals