A discussion on leading renormalon in the pole mass

TL;DR

This paper investigates the leading renormalon divergence in the quark pole mass in quantum field theories and introduces a mapping technique to suppress and analyze this divergence, providing normalization calculations for various quark flavors.

Contribution

It presents a novel mapping method to suppress and analyze the leading renormalon in the pole mass, enabling normalization calculations across different quark flavors.

Findings

The introduced map effectively suppresses the leading renormalon.

The normalization of the leading renormalon is calculated for multiple quark flavors.

The inverse map generates the leading renormalon for analysis.

Abstract

Perturbative series of some quantities in quantum field theories, such as the pole mass of a quark, suffer from a kind of divergence called renormalon divergence. In this paper, the leading renormalon in the pole mass is investigated, and a map is introduced to suppress this renormalon. The inverse of the map is then used to generate the leading renormalon and obtain an expression to calculate its overall normalization. Finally, the overall normalization of the leading renormalon of the pole mass is calculated for several values of quark flavors.