The Heavy Quarkonium Spectrum at Order $m\alpha_s^5 \ln \alpha_s$

TL;DR

This paper calculates the leading logarithmic corrections at high order for the heavy quarkonium spectrum within potential NRQCD, providing precise theoretical predictions relevant for understanding heavy quark bound states.

Contribution

It introduces the complete leading-log terms at order $m\alpha_s^5 \ln \alpha_s$ in the heavy quarkonium spectrum, advancing the precision of theoretical calculations.

Findings

Derived the complete leading-log corrections at order $m\alpha_s^5 \ln \alpha_s$

Provided the full $O(m\alpha_s^5 \ln \alpha_s)$ spectrum corrections under certain QCD conditions

Enhanced the theoretical understanding of heavy quarkonium energy levels

Abstract

We compute the complete leading-log terms of the next-to-next-to-next-to-leading-order corrections to potential NRQCD. As a by-product we obtain the leading logs at $O(m\alpha_s^5)$ in the heavy quarkonium spectrum. These leading logs, when $\Lambda_{QCD} \ll m\alpha_s^2$, give the complete $O(m\alpha_s^5 \ln \alpha_s)$ corrections to the heavy quarkonium spectrum.