PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Hadronic vacuum polarization from step scaling in the Schwinger model
F. Frech* and  Budapest-Marseille-Wuppertal Collaboration
Full text: pdf
Pre-published on: May 16, 2022
Published on: July 08, 2022
Abstract
We compute the quark-connected part of the hadronic vacuum polarization function (HVP) in the Schwinger Model. We develop a new strategy, similar to the well-known step-scaling, to compute the HVP in a large range of the energy scale. Additionally we use the HVP and the Wilson flow to determine the line of constant physics. The strategy developed here can be useful to compute the hadronic contribution to the running of the electromagnetic coupling in dynamical QCD up to the scale of the mass of the Z boson.
DOI: https://doi.org/10.22323/1.396.0218
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