Two-loop self-energy diagrams worked out with NDIM

TL;DR

This paper applies the Negative Dimensional Integration Method to compute two-loop massless self-energy Feynman integrals, revealing a 36-fold degeneracy and validating results against traditional techniques.

Contribution

It demonstrates the effectiveness of NDIM in calculating complex two-loop integrals and explores degeneracy patterns in the solutions.

Findings

Identified a 36-fold degeneracy in the solutions.

Validated NDIM results against traditional methods.

Provided explicit calculations for specific propagator exponents.

Abstract

In this work we calculate two two-loop massless Feynman integrals pertaining to self-energy diagrams using NDIM (Negative Dimensional Integration Method). We show that the answer we get is 36-fold degenerate. We then consider special cases of exponents for propagators and the outcoming results compared with known ones obtained via traditional methods.