Light-cone gauge integrals: Prescriptionlessness at two loops

TL;DR

This paper extends a prescriptionless method for evaluating light-cone gauge integrals to two-loop order, providing finite and divergent parts without relying on the Mandelstam-Leibbrandt prescription, simplifying calculations in quantum field theory.

Contribution

It introduces a prescriptionless approach to two-loop light-cone gauge integrals using NDIM, eliminating the need for the ML prescription in higher-order calculations.

Findings

The method reproduces known divergent parts of two-loop integrals.

Finite parts of integrals are obtained for arbitrary propagator exponents.

The approach simplifies calculations by avoiding gauge-dependent prescriptions.

Abstract

The only calculations performed beyond one-loop level in the light-cone gauge make use of the Mandelstam-Leibbrandt (ML) prescription in order to circumvent the notorious gauge dependent poles. Recently we have shown that in the context of negative dimensional integration method (NDIM) such prescription can be altogether abandoned, at least in one-loop order calculations. We extend our approach, now studying two-loop integrals pertaining to two-point functions. While previous works on the subject present only divergent parts for the integrals, we show that our prescriptionless method gives the same results for them, besides finite parts for arbitrary exponents of propagators.