Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Strong coupling constant from 1-loop improved static energy

Viljami Leino, Alexei Bazavov, Nora Brambilla, Georg von Hippel, Andreas S. Kronfeld, Julian Mayer-Steudte, Peter Petreczky, Sipaz Sharma, Sebastian Steinbeißer, Antonio Vairo, Johannes H. Weber

Abstract

The static energy is an excellent observable for extracting the strong coupling $α_s$ on the lattice. For short distances, the static energy can be calculated both on the lattice using Wilson line correlators, and with perturbation theory up to three loop accuracy with leading ultrasoft log resummation. Comparing the perturbative expression and lattice data allows for precise determination of $α_s$. We present early results for 1-loop lattice perturbation theory improvement of the Wilson loop and show how it improves the $α_s$ extraction. We present a preliminary reanalysis of the TUMQCD (2+1)-flavor QCD data.

Strong coupling constant from 1-loop improved static energy

Abstract

The static energy is an excellent observable for extracting the strong coupling on the lattice. For short distances, the static energy can be calculated both on the lattice using Wilson line correlators, and with perturbation theory up to three loop accuracy with leading ultrasoft log resummation. Comparing the perturbative expression and lattice data allows for precise determination of . We present early results for 1-loop lattice perturbation theory improvement of the Wilson loop and show how it improves the extraction. We present a preliminary reanalysis of the TUMQCD (2+1)-flavor QCD data.

Paper Structure

This paper contains 6 sections, 5 equations, 4 figures.

Table of Contents

  1. Introduction
  2. Static energy
  3. Perturbation theory
  4. 1-loop Lattice perturbation theory
  5. Lattice data
  6. Extraction of Lambda MSbar

Figures (4)

  • Figure 1: Left: The leading factor normalized static energy $R=-E_0/C_{\rm F}$ for the two different approaches to reduce the renormalon contribution. Right: The difference between the two methods.
  • Figure 2: Left: the interpolation of residual finite mass effects for 1-loop lattice perturbation theory. Right: The final interpolation reconstruction of the fermionic contribution (x's) compared to data (solid symbols) from HPsrc. The solid line shows the perturbative curve that we are expected to approach asymptotically.
  • Figure 3: Left: Example of the final 1-loop lattice perturbation theory contribution for a single ensemble and a fit to $\Lambda$-ratio. Right: The final 1-loop improvement compared to the tree-level improvement.
  • Figure 4: Example of the $\Lambda$ extraction from a joint fit over 4 finest ensembles with 1-loop improved distances.