Reductions and Contractions of 1-loop Tensor Feynman Integrals

TL;DR

This paper presents new analytic results for contracted one-loop tensor Feynman integrals of rank 4, with numerical validation, advancing the computational techniques in quantum field theory.

Contribution

It introduces the first analytic expressions for rank 4 contracted one-loop tensor integrals and verifies them numerically, enhancing the understanding of tensor reduction methods.

Findings

Analytic results for rank 4 tensors are obtained.

Numerical cross-checks confirm the accuracy of the results.

Progress in constructing contracted one-loop tensors is demonstrated.

Abstract

We report on the progress in constructing contracted one-loop tensors. Analytic results for rank R=4 tensors, cross-checked numerically, are presented for the first time.