Towards determination of the strong coupling $α_s(m_Z)$ from four-flavor lattice QCD using the continuous $β$-function method

Fuente: arXiv
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Autori principali: Mandlecha, Yash, Bazavov, Alexei, Chauhan, Akhil, Dai, Mingwei, DeTar, Carleton, El-Khadra, Aida, Gottlieb, Steven, Hasenfratz, Anna, Hostetler, Leon, Kronfeld, Andreas S., Neil, Ethan T., Peterson, Curtis T., Simone, James
Natura: Preprint
Pubblicazione: 2026
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author Mandlecha, Yash
Bazavov, Alexei
Chauhan, Akhil
Dai, Mingwei
DeTar, Carleton
El-Khadra, Aida
Gottlieb, Steven
Hasenfratz, Anna
Hostetler, Leon
Kronfeld, Andreas S.
Neil, Ethan T.
Peterson, Curtis T.
Simone, James
author_facet Mandlecha, Yash
Bazavov, Alexei
Chauhan, Akhil
Dai, Mingwei
DeTar, Carleton
El-Khadra, Aida
Gottlieb, Steven
Hasenfratz, Anna
Hostetler, Leon
Kronfeld, Andreas S.
Neil, Ethan T.
Peterson, Curtis T.
Simone, James
contents The precise value of the strong coupling $α_s(m_{Z})$ at the $Z$-boson mass $m_{Z}$ is essential for high-energy phenomenology and precision tests of quantum chromodynamics (QCD). We present the status of a program targeting a $\sim 0.3\%$ determination of $α_s(m_{Z})$ using the renormalization group $β$-function in the infinite volume gradient flow scheme based on lattice QCD simulations of degenerate four-flavor highly improved staggered quark (HISQ) ensembles. In particular, we analyze both tree-level cutoff effects and finite-mass effects. We also outline the next steps of the analysis, including the infinite-volume and continuum extrapolations required for a precise determination of $α_s(m_Z)$.
format Preprint
id arxiv_https___arxiv_org_abs_2603_21059
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Towards determination of the strong coupling $α_s(m_Z)$ from four-flavor lattice QCD using the continuous $β$-function method
Mandlecha, Yash
Bazavov, Alexei
Chauhan, Akhil
Dai, Mingwei
DeTar, Carleton
El-Khadra, Aida
Gottlieb, Steven
Hasenfratz, Anna
Hostetler, Leon
Kronfeld, Andreas S.
Neil, Ethan T.
Peterson, Curtis T.
Simone, James
High Energy Physics - Lattice
The precise value of the strong coupling $α_s(m_{Z})$ at the $Z$-boson mass $m_{Z}$ is essential for high-energy phenomenology and precision tests of quantum chromodynamics (QCD). We present the status of a program targeting a $\sim 0.3\%$ determination of $α_s(m_{Z})$ using the renormalization group $β$-function in the infinite volume gradient flow scheme based on lattice QCD simulations of degenerate four-flavor highly improved staggered quark (HISQ) ensembles. In particular, we analyze both tree-level cutoff effects and finite-mass effects. We also outline the next steps of the analysis, including the infinite-volume and continuum extrapolations required for a precise determination of $α_s(m_Z)$.
title Towards determination of the strong coupling $α_s(m_Z)$ from four-flavor lattice QCD using the continuous $β$-function method
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2603.21059