Chiral extrapolation of hadronic vacuum polarization and isospin-breaking corrections - INSPIRE

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Chiral extrapolation of hadronic vacuum polarization and isospin-breaking corrections

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

Oct 21, 2022

9 pages

Published in:

PoS LATTICE2022 (2023) 316,
PoS LATTICE2022 (2022) 316

Contribution to:

- Lattice 2022
, 316
,
- Lattice 2022

Published: Nov 7, 2022

e-Print:

2210.11904 [hep-ph]

DOI:

10.22323/1.430.0316

View in:

ADS Abstract Service

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Abstract: (SISSA)

By far the biggest contribution to hadronic vacuum polarization (HVP) arises from the two-pion channel. Its quark-mass dependence can be evaluated by combining dispersion relations with chiral perturbation theory, providing guidance on the functional form of chiral extrapolations, or even interpolations around the physical point. In addition, the approach allows one to estimate in a controlled way the isospin-breaking (IB) corrections that arise from the pion mass difference. As an application, we present an updated estimate of phenomenological expectations for electromagnetic and strong IB corrections to the HVP contribution to the anomalous magnetic moment of the muon. In particular, we include IB effects in the

\bar K K

channel, which are enhanced due to the proximity of the

\bar K K

threshold and the

\phi

resonance. The resulting estimates make it unlikely that the current tension between lattice-QCD and data-driven evaluations of the HVP contribution is caused by IB corrections.

Note:

9 pages, 1 figure; proceedings of the 39th International Symposium on Lattice Field Theory (LATTICE2022)

vacuum polarization: hadronic
muon: magnetic moment
pi: mass difference
perturbation theory: chiral
K K
tension
two-pion
electromagnetic
dispersion relation
lattice field theory

References(65)

Figures(2)

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)
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