PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
High precision scale setting on the lattice
S. 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, C. Torok and L. Varnhorst*
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Pre-published on: May 25, 2022
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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 $\Omega$ 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 $w_0$. Here, we present our calculation of this quantity with a relative precision of about 0.4%.
DOI: https://doi.org/10.22323/1.396.0371
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