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

Research output: Contribution to journalConference articlepeer-review

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 languageEnglish (US)
Article number371
JournalProceedings of Science
Volume396
StatePublished - Jul 8 2022
Event38th International Symposium on Lattice Field Theory, LATTICE 2021 - Virtual, Online, United States
Duration: Jul 26 2021Jul 30 2021

All Science Journal Classification (ASJC) codes

  • General

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