"Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view

TL;DR

This paper explores the connection between hypergeometric functions, transcendental constants, and the sixth root of unity, providing a new perspective on Feynman diagrams and their mathematical properties.

Contribution

It introduces a hypergeometric function approach to analyze transcendental constants related to the sixth root of unity in the context of Feynman diagrams.

Findings

Identification of transcendental constants via epsilon-expansion

Relation between hypergeometric functions and sixth root of unity

New insights into Feynman diagram calculations

Abstract

We briefly discuss the transcendental constants generated through the epsilon-expansion of generalized hypergeometric functions and their interrelation with the "sixth root of unity."