OPITeR: A program for tensor reduction of multi-loop Feynman Integrals

TL;DR

OPITeR is a FORM-based program designed to efficiently reduce complex multi-loop tensor Feynman integrals, accommodating high tensor ranks and multiple external momenta, while preserving symmetries in dimensional regularization.

Contribution

It introduces OPITeR, a novel tool capable of tensor reduction for multi-loop Feynman integrals with high ranks and multiple external momenta, including symmetry manifesting features.

Findings

Handles tensors with rank up to 20

Supports up to 8 external momenta

Maintains symmetries in tensor reduction

Abstract

We present OPITeR, a FORM program for the reduction of multi-loop tensor Feynman integrals. The program can handle tensors, including spinor indices, with rank of up to 20 and can deal with up to 8 independent external momenta. The reduction occurs in $D$ dimensions compatible with conventional dimensional regularization. The program is able to manifest symmetries of the integrand in the tensor reduced form.