The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization

TL;DR

This paper computes the two-mass contribution to the three-loop gluon vacuum polarization in QCD at zero virtuality, also providing a similar result for the photon in QED, advancing precision in quantum field theory calculations.

Contribution

It presents the first calculation of the two-mass three-loop gluon vacuum polarization at zero virtuality for general masses, including an analogous QED result.

Findings

Explicit formulas for the two-mass three-loop gluon vacuum polarization at p^2=0.

Extension of the calculation to the photon in QED.

Enhanced understanding of multi-loop corrections in gauge theories.

Abstract

We calculate the two-mass contribution to the 3-loop vacuum polarization of the gluon in Quantum Chromodynamics at virtuality $p^2 = 0$ for general masses and also present the analogous result for the photon in Quantum Electrodynamics.