Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD

Abstract In order to reach a precision of 0.2% on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, (g – 2) μ , such that the full Standard-Model prediction matches in precision the direct experimental measurement, it is crucial to include the leading,...

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Main Authors: Julian Parrino, Volodymyr Biloshytskyi, En-Hung Chao, Harvey B. Meyer, Vladimir Pascalutsa
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP07(2025)201
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author Julian Parrino
Volodymyr Biloshytskyi
En-Hung Chao
Harvey B. Meyer
Vladimir Pascalutsa
author_facet Julian Parrino
Volodymyr Biloshytskyi
En-Hung Chao
Harvey B. Meyer
Vladimir Pascalutsa
author_sort Julian Parrino
collection DOAJ
description Abstract In order to reach a precision of 0.2% on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, (g – 2) μ , such that the full Standard-Model prediction matches in precision the direct experimental measurement, it is crucial to include the leading, O(α) electromagnetic corrections to HVP. In this work, we determine an important contribution to the latter from a diagram comprised of two two-point quark-loops, connected by the internal photon and gluons. This ultraviolet-finite correction is calculated from lattice QCD using a coordinate-space formalism, where photons are treated in the continuum and infinite volume. Our result amounts to a (−0.89 ± 0.18)% correction to the leading-order HVP contribution to (g – 2) μ . To overcome the worsening statistical noise at large distances, our analysis is combined with phenomenological models featuring light pseudoscalar mesons with masses below 1 GeV. In particular, our data show a very steep mass dependence as dictated by the charged pion loop. Similarly, the other diagrams appearing in the O(α)-corrections to the HVP with the internal photon connecting two separate quark loops are also ultraviolet-finite and can be computed with the same formalism.
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publishDate 2025-07-01
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spelling doaj-art-6a003b53f62d4a7c9dba81294bb491e82025-08-20T04:01:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714710.1007/JHEP07(2025)201Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCDJulian Parrino0Volodymyr Biloshytskyi1En-Hung Chao2Harvey B. Meyer3Vladimir Pascalutsa4PRISMA+ Cluster of Excellence & Institut für Kernphysik, Johannes Gutenberg-Universität MainzInstitut für Kernphysik, Johannes Gutenberg-Universität MainzPhysics Department, Columbia UniversityPRISMA+ Cluster of Excellence & Institut für Kernphysik, Johannes Gutenberg-Universität MainzInstitut für Kernphysik, Johannes Gutenberg-Universität MainzAbstract In order to reach a precision of 0.2% on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, (g – 2) μ , such that the full Standard-Model prediction matches in precision the direct experimental measurement, it is crucial to include the leading, O(α) electromagnetic corrections to HVP. In this work, we determine an important contribution to the latter from a diagram comprised of two two-point quark-loops, connected by the internal photon and gluons. This ultraviolet-finite correction is calculated from lattice QCD using a coordinate-space formalism, where photons are treated in the continuum and infinite volume. Our result amounts to a (−0.89 ± 0.18)% correction to the leading-order HVP contribution to (g – 2) μ . To overcome the worsening statistical noise at large distances, our analysis is combined with phenomenological models featuring light pseudoscalar mesons with masses below 1 GeV. In particular, our data show a very steep mass dependence as dictated by the charged pion loop. Similarly, the other diagrams appearing in the O(α)-corrections to the HVP with the internal photon connecting two separate quark loops are also ultraviolet-finite and can be computed with the same formalism.https://doi.org/10.1007/JHEP07(2025)201Lattice QCDEffective Field Theories of QCDStandard Model Parameters
spellingShingle Julian Parrino
Volodymyr Biloshytskyi
En-Hung Chao
Harvey B. Meyer
Vladimir Pascalutsa
Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD
Journal of High Energy Physics
Lattice QCD
Effective Field Theories of QCD
Standard Model Parameters
title Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD
title_full Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD
title_fullStr Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD
title_full_unstemmed Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD
title_short Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD
title_sort computing the uv finite electromagnetic corrections to the hadronic vacuum polarization in the muon g 2 from lattice qcd
topic Lattice QCD
Effective Field Theories of QCD
Standard Model Parameters
url https://doi.org/10.1007/JHEP07(2025)201
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