Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On the tensor reduction of one-loop pentagons and hexagons

T. Diakonidis, J. Fleischer, J. Gluza, K. Kajda, T. Riemann, J. B. Tausk

Abstract

We perform analytical reductions of one-loop tensor integrals with 5 and 6 legs to scalar master integrals. They are based on the use of recurrence relations connecting integrals in different space-time dimensions. The reductions are expressed in a compact form in terms of signed minors, and have been implemented in a mathematica package called hexagon.m. We present several numerical examples.

On the tensor reduction of one-loop pentagons and hexagons

Abstract

We perform analytical reductions of one-loop tensor integrals with 5 and 6 legs to scalar master integrals. They are based on the use of recurrence relations connecting integrals in different space-time dimensions. The reductions are expressed in a compact form in terms of signed minors, and have been implemented in a mathematica package called hexagon.m. We present several numerical examples.

Paper Structure

This paper contains 6 sections, 25 equations, 1 figure, 4 tables.

Table of Contents

  1. Introduction
  2. Notations
  3. Pentagons
  4. Hexagons
  5. Numerical results
  6. Summary

Figures (1)

  • Figure 1: Momentum flow used in hexagon.m for six and five point diagrams.