Phenomenological Estimate of Isospin Breaking in Hadronic Vacuum Polarization - INSPIRE

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Phenomenological Estimate of Isospin Breaking in Hadronic Vacuum Polarization

Martin Hoferichter
(
- U. Bern, AEC
)
,
Gilberto Colangelo
(
- U. Bern, AEC
)
,
Bai-Long Hoid
(
- U. Bern, AEC
)
,
Bastian Kubis
(
- U. Bonn, Phys. Inst., BCTP and
- Bonn U., ITKP
)
,
Jacobo Ruiz de Elvira
(
- Madrid U.
)

Jul 5, 2023

7 pages

Published in:

Phys.Rev.Lett. 131 (2023) 16, 161905

Published: Oct 18, 2023

e-Print:

2307.02532 [hep-ph]

DOI:

10.1103/PhysRevLett.131.161905 (publication)

Report number:

PSI-PR-23-22,
ZU-TH 32/23,
IPARCOS-UCM-23-077

View in:

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Abstract: (APS)

Puzzles in the determination of the hadronic-vacuum-polarization contribution currently impede a conclusive interpretation of the precision measurement of the anomalous magnetic moment of the muon at the Fermilab experiment. One such puzzle concerns tensions between evaluations in lattice QCD and using

e^{+} e^{-} \to hadrons

cross-section data. In lattice QCD, the dominant isospin-symmetric part and isospin-breaking (IB) corrections are calculated separately, with very different systematic effects. Identifying these two pieces in a data-driven approach provides an opportunity to compare them individually and trace back the source of the discrepancy. Here, we estimate the IB component of the lattice-QCD calculations from phenomenology, based on a comprehensive study of exclusive contributions that can be enhanced via infrared singularities, threshold effects, or hadronic resonances, including, for the first time, in the

e^{+} e^{-} \to 3 π

channel. We observe sizable cancellations among different channels, with a sum that even suggests a slightly larger result for the QED correction than obtained in lattice QCD. We conclude that the tensions between lattice QCD and

e^{+} e^{-}

data therefore cannot be explained by the IB contributions in the lattice-QCD calculations.

Note:

7 pages, 2 figures; journal version

muon: magnetic moment
threshold: effect
quantum electrodynamics: correction
vacuum polarization: hadronic
singularity: infrared
lattice field theory
tension
isospin
precision measurement
hadron

References(136)

Figures(3)

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