Spectral-weight sum rules for the hadronic vacuum polarization - INSPIRE

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Spectral-weight sum rules for the hadronic vacuum polarization

Diogo Boito
(
- Sao Paulo U., Sao Carlos
)
,
Maarten Golterman
(
- San Francisco State U. and
- Barcelona, IFAE
)
,
Kim Maltman
(
- Adelaide U., Sch. Chem. Phys. and
- York U., Toronto (main)
)
,
Santiago Peris
(
- Barcelona, IFAE
)

Oct 24, 2022

33 pages

Published in:

Phys.Rev.D 107 (2023) 3, 034512

Published: Feb 1, 2023

e-Print:

2210.13677 [hep-lat]

DOI:

10.1103/PhysRevD.107.034512 (publication)

View in:

ADS Abstract Service

reference search18 citations

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Abstract: (APS)

We develop a number of sum rules comparing spectral integrals involving judiciously chosen weights to integrals over the corresponding Euclidean two-point function. The applications we have in mind are to the hadronic vacuum polarization that determines the most important hadronic correction

a_{μ}^{HVP}

to the muon anomalous magnetic moment. First, we point out how spectral weights may be chosen that emphasize narrow regions in

\sqrt{s}

, providing a tool to investigate emerging discrepancies between data-driven and lattice determinations of

a_{μ}^{HVP}

. Alternatively, for a narrow region around the

ρ

mass, they may allow for a comparison of the dispersive determination of

a_{μ}^{HVP}

with lattice determinations zooming in on the region of the well-known BABAR-KLOE discrepancy. Second, we show how such sum rules can in principle be used for carrying out precision comparisons of hadronic-

τ

-decay-based data and

e^{+} e^{-} \to hadrons (γ)

-based data, where lattice computations can provide the necessary isospin-breaking corrections.

Note:

33 pages, 5 figures; expanded discussions, version to be published, no changes in results

vacuum polarization: hadronic
correction: hadronic
muon: magnetic moment
sum rule
lattice
spectral
two-point function
dispersion
Euclidean
hadron

References(69)

Figures(11)

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(
- Orsay, LAL
)
,
Andreas Hoecker
(
- CERN
)
,
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)
,
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)

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•
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(
- Manchester U. and
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)
,
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(
- KEK, Tsukuba
)
,
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(
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)

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[12]

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Gilberto Colangelo
(
- U. Bern, AEC
)
,
Martin Hoferichter
(
- Washington U., Seattle
)
,
Peter Stoffer
(
- UC, San Diego
)

- JHEP 02 (2019) 006
•
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•
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Martin Hoferichter
(
- Washington U., Seattle
)
,
Bai-Long Hoid
(
- Bonn U. and
- Bonn U., HISKP
)
,
Bastian Kubis
(
- Bonn U. and
- Bonn U., HISKP
)

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(
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)
,
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(
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)
,
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(
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)
,
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(
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)

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(
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(
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)

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Gilberto Colangelo
(
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)
,
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(
- Washington U., Seattle and
- Santa Barbara, KITP
)
,
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(
- CERN
)
,
Peter Stoffer
(
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- UC, San Diego
)

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Gilberto Colangelo
(
- Bern U. and
- U. Bern, AEC
)
,
Martin Hoferichter
(
- Washington U., Seattle and
- Santa Barbara, KITP
)
,
Massimiliano Procura
(
- CERN
)
,
Peter Stoffer
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP and
- UC, San Diego
)

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Martin Hoferichter
(
- Washington U., Seattle
)
,
Bai-Long Hoid
(
- Bonn U. and
- Bonn U., HISKP
)
,
Bastian Kubis
(
- Bonn U. and
- Bonn U., HISKP
)
,
Stefan Leupold
(
- Uppsala U.
)
,
Sebastian P. Schneider
(
- Bonn U. and
- Bonn U., HISKP
)

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Martin Hoferichter
(
- Washington U., Seattle
)
,
Bai-Long Hoid
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
Bastian Kubis
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
Stefan Leupold
(
- Uppsala U.
)
,
Sebastian P. Schneider
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)

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Antoine Gérardin
(
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)
,
Harvey B. Meyer
(
- U. Mainz, PRISMA and
- Helmholtz Inst., Mainz
)
,
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(
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)

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