Addendum to "A Renormalizable 4-Dimensional Tensor Field Theory"

TL;DR

This paper completes the power counting analysis of a 4D tensor field theory by providing a proof for a key equation, enhancing the understanding of its renormalizability.

Contribution

It offers a rigorous proof of a crucial equation, filling a gap in the previous work and refining the power counting estimates for the theory.

Findings

Proof of Equation (82) in Lemma 5 provided

Enhanced next-to-leading-order estimate established

Completes the power counting analysis

Abstract

This note fills a gap in the article with title above [1]. We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.