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Seedless Reduction of Feynman Integrals

Leonardo de la Cruz, David A. Kosower

Abstract

We show how to construct a complete set of lowering operators, whose successive application reduces an arbitrary Fenyman integral to a combination of master integrals. The construction builds systems of equations for generic integral indices using IBP-generating vectors. The solution to each system is a lowering operator.

Seedless Reduction of Feynman Integrals

Abstract

We show how to construct a complete set of lowering operators, whose successive application reduces an arbitrary Fenyman integral to a combination of master integrals. The construction builds systems of equations for generic integral indices using IBP-generating vectors. The solution to each system is a lowering operator.
Paper Structure (9 sections, 46 equations, 2 figures)

This paper contains 9 sections, 46 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Setup and Strategy
  3. Massless Double Box
  4. Bulk Lowering Operators
  5. Boundary Lowering Operators
  6. Propagator Lowering Operators
  7. Massless Pentabox
  8. Implementation
  9. Conclusions

Figures (2)

  • Figure 1: Double box integral with massless external momenta
  • Figure 2: Pentabox graph with outgoing massless external momenta.