Generation Function For One-loop Tensor Reduction

TL;DR

This paper introduces generation functions for reduction coefficients in one-loop tensor integrals, aiming to improve efficiency in scattering amplitude calculations.

Contribution

It presents a novel method to generate reduction coefficients for arbitrary tensor ranks in one-loop integrals.

Findings

Provides explicit generation functions for reduction coefficients.

Enhances computational efficiency in tensor integral reduction.

Applicable to general one-loop scattering amplitude calculations.

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.