Anomalies Dismissed of Ambiguities and the Neutral Pion Decay

TL;DR

This paper explores the neutral pion decay and related anomalies using an alternative divergence handling method, offering a new perspective that minimizes ambiguities in the theoretical analysis.

Contribution

It introduces a novel approach to manage divergences in pion decay calculations, reducing the role of ambiguities and providing an alternative understanding of the anomaly phenomena.

Findings

The new method recovers traditional results.

Ambiguities are shown to be non-essential.

Provides an alternative conceptual framework.

Abstract

The correlation between the neutral electromagnetic pion decay, the Sutherland-Veltman paradox and the $AVV$ triangle anomaly phenomenon is discussed within the framework of an alternative strategy to handle the divergences involved in the perturbative evaluation of the associated physical amplitudes. We show that the general characteristic of the adopted strategy allows us to recover the traditional treatment for the problem as well as allows us to construct an alternative way to look at the problem where the ambiguities play no relevant role.