High precision scale setting on the lattice

Sz Borsanyi; Z. Fodor; J. N. Guenther; C. Hoelbling; S. D. Katz; L. Lellouch; T. Lippert; K. Miura; L. Parato; K. K. Szabo; F. Stokes; B. C. Toth; Cs Torok; L. Varnhorst

High precision scale setting on the lattice

Sz Borsanyi, Z. Fodor, J. N. Guenther, C. Hoelbling, S. D. Katz, L. Lellouch, T. Lippert, K. Miura, L. Parato, K. K. Szabo, F. Stokes, B. C. Toth, Cs Torok, L. Varnhorst

Physics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

Recently, the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon was determined by the BMW collaboration with sub-percent precision. Such a precision requires to control many sources of uncertainty. One of these is the uncertainty in the determination of the lattice spacing. In this talk, we present the scale setting entering this computation. It relies on the mass of the Ω baryon as input which is directly used to set the scale of our main calculation. It also allows us to calculate the value of the intermediate scale setting quantity w₀. Here, we present our calculation of this quantity with a relative precision of about 0.4%.

Original language	English (US)
Article number	371
Journal	Proceedings of Science
Volume	396
State	Published - Jul 8 2022
Event	38th International Symposium on Lattice Field Theory, LATTICE 2021 - Virtual, Online, United States Duration: Jul 26 2021 → Jul 30 2021

All Science Journal Classification (ASJC) codes

General

Cite this

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title = "High precision scale setting on the lattice",

abstract = "Recently, the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon was determined by the BMW collaboration with sub-percent precision. Such a precision requires to control many sources of uncertainty. One of these is the uncertainty in the determination of the lattice spacing. In this talk, we present the scale setting entering this computation. It relies on the mass of the Ω baryon as input which is directly used to set the scale of our main calculation. It also allows us to calculate the value of the intermediate scale setting quantity w0. Here, we present our calculation of this quantity with a relative precision of about 0.4%.",

author = "Sz Borsanyi and Z. Fodor and Guenther, {J. N.} and C. Hoelbling and Katz, {S. D.} and L. Lellouch and T. Lippert and K. Miura and L. Parato and Szabo, {K. K.} and F. Stokes and Toth, {B. C.} and Cs Torok and L. Varnhorst",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0); 38th International Symposium on Lattice Field Theory, LATTICE 2021 ; Conference date: 26-07-2021 Through 30-07-2021",

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language = "English (US)",

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TY - JOUR

T1 - High precision scale setting on the lattice

AU - Borsanyi, Sz

AU - Fodor, Z.

AU - Guenther, J. N.

AU - Hoelbling, C.

AU - Katz, S. D.

AU - Lellouch, L.

AU - Lippert, T.

AU - Miura, K.

AU - Parato, L.

AU - Szabo, K. K.

AU - Stokes, F.

AU - Toth, B. C.

AU - Torok, Cs

AU - Varnhorst, L.

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)

PY - 2022/7/8

Y1 - 2022/7/8

N2 - Recently, the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon was determined by the BMW collaboration with sub-percent precision. Such a precision requires to control many sources of uncertainty. One of these is the uncertainty in the determination of the lattice spacing. In this talk, we present the scale setting entering this computation. It relies on the mass of the Ω baryon as input which is directly used to set the scale of our main calculation. It also allows us to calculate the value of the intermediate scale setting quantity w0. Here, we present our calculation of this quantity with a relative precision of about 0.4%.

AB - Recently, the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon was determined by the BMW collaboration with sub-percent precision. Such a precision requires to control many sources of uncertainty. One of these is the uncertainty in the determination of the lattice spacing. In this talk, we present the scale setting entering this computation. It relies on the mass of the Ω baryon as input which is directly used to set the scale of our main calculation. It also allows us to calculate the value of the intermediate scale setting quantity w0. Here, we present our calculation of this quantity with a relative precision of about 0.4%.

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UR - http://www.scopus.com/inward/citedby.url?scp=85134428815&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85134428815

SN - 1824-8039

VL - 396

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 371

T2 - 38th International Symposium on Lattice Field Theory, LATTICE 2021

Y2 - 26 July 2021 through 30 July 2021

ER -

High precision scale setting on the lattice

Abstract

All Science Journal Classification (ASJC) codes

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