# Precision Determination of $\alpha_s$ from Lattice QCD

**Authors:** Mattia Dalla Brida (on behalf of the ALPHA Collaboration)

arXiv: 1812.06692 · 2018-12-18

## TL;DR

This paper reviews the ALPHA Collaboration's recent lattice QCD calculation of the strong coupling constant $\

## Contribution

It provides a precise determination of $\\alpha_s$ at the $Z$ boson mass using non-perturbative lattice methods and perturbative matching, achieving sub-percent accuracy.

## Key findings

- 	extbf{Precise value of }\alpha_s(m_Z)=0.11852(84)
- 	extbf{Sub-percent accuracy in determination}
- 	extbf{Method combines non-perturbative and perturbative techniques}

## Abstract

We present an overview of the recent lattice determination of the QCD coupling $\alpha_s$ by the ALPHA Collaboration. The computation is based on the non-perturbative determination of the $\Lambda$-parameter of $N_{\rm f}=3$ QCD, and the perturbative matching of the $N_{\rm f}=3$ and $N_{\rm f}=5$ theories. The final result: $\alpha_s(m_Z)=0.11852(84)$, reaches sub-percent accuracy.

## Full text

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## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/1812.06692/full.md

## References

43 references — full list in the complete paper: https://tomesphere.com/paper/1812.06692/full.md

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Source: https://tomesphere.com/paper/1812.06692