Journal Article PUBDB-2024-07239

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Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD

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2024
SISSA [Trieste]

Journal of high energy physics 2024(3), 172 () [10.1007/JHEP03(2024)172]
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Report No.: CERN-TH-2024-011; MITP-24-011; arXiv:2401.11895

Abstract: We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon g – 2, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading ${x}_{0}^{4}$-behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with 2 + 1 flavours of O(a)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range 130 – 420 MeV. Our estimate at the physical point contains a full error budget and reads ${\left({a}_{\mu }^{{\text{hvp}}}\right)}^{{\text{SD}}}$ = 68.85(14)$_{stat}$ (42)$_{syst}$·10$^{−10}$, which corresponds to a relative precision of 0.7%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization.

Keyword(s): vacuum polarization: hadronic ; current: vector ; quantum chromodynamics: perturbation theory ; quark: Wilson ; pi: mass ; effect: discrete ; muon ; lattice ; magnetic moment ; lattice field theory ; tension ; flavor ; Hadronic Spectroscopy ; Structure and Interactions ; Lattice QCD

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Note: 37 pages, 10 figures, 9 tables

Contributing Institute(s):
  1. Zeuthen Particle PhysicsTheory (Z_ZPPT)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)390831469 - EXC 2118: Precision Physics, Fundamental Interactions and Structure of Matter (PRISMA+) (390831469) (390831469)
  3. DFG project G:(GEPRIS)399400745 - Präzision für Seequark-Beiträge in der Gitter-QCD (399400745) (399400745)
  4. DFG project G:(GEPRIS)390686111 - EXC 2048: CEPLAS - Exzellenzcluster für Pflanzenwissenschaften (390686111) (390686111)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2024
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Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD
[10.3204/PUBDB-2025-00411]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2024-12-03, last modified 2025-07-23


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