Gluon - W-meson scattering via different renormalization schemes

TL;DR

This paper compares two regularization schemes, gauge-invariant generalized Pauli-Villars and dimensional regularization, in calculating gluon-W-meson scattering amplitudes, highlighting their differences and consistency with Ward Identities.

Contribution

It demonstrates the impact of different regularization methods on the one-loop gluon-W-meson amplitude and verifies gauge invariance in the generalized Pauli-Villars scheme.

Findings

Generalized Pauli-Villars scheme satisfies Ward Identities

Dimensional regularization yields a constant difference

Both methods produce consistent physical results

Abstract

The one loop gluon - W-meson amplitude is calculated by means of the gauge-invariant generalized Pauli-Villars regularization and with the help of dimensional regularization. It is shown that in the former case the amplitude satisfies Generalized Ward Identities, whereas in the latter case the amplitude differs from the first one by the constant.