Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a 64 × 243 lattice with an inverse lattice spacing of a−1 = 1.78 GeV and an isospin symmetric pion mass of mπ = 340 MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than 1% for the up quark and 0.1% for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings.
Boyle, P.
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Gülpers, V.
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Harrison, J.
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Jüttner, A.
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Lehner, C.
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Portelli, A.
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Sachrajda, C.T.
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September 2017
Boyle, P.
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Gülpers, V.
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Harrison, J.
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Jüttner, A.
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Lehner, C.
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Portelli, A.
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Sachrajda, C.T.
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Boyle, P., Gülpers, V., Harrison, J., Jüttner, A., Lehner, C., Portelli, A. and Sachrajda, C.T.
(2017)
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study.
Journal of High Energy Physics, 2017 (9), [153].
(doi:10.1007/JHEP09(2017)153).
Abstract
We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a 64 × 243 lattice with an inverse lattice spacing of a−1 = 1.78 GeV and an isospin symmetric pion mass of mπ = 340 MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than 1% for the up quark and 0.1% for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings.
Text
JHEP09(2017)153
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Accepted/In Press date: 6 September 2017
e-pub ahead of print date: 28 September 2017
Published date: September 2017
Identifiers
Local EPrints ID: 414817
URI: http://eprints.soton.ac.uk/id/eprint/414817
ISSN: 1029-8479
PURE UUID: 1878f232-f425-48c0-b9d5-580dc1ab9deb
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Date deposited: 11 Oct 2017 16:31
Last modified: 16 Mar 2024 04:11
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Author:
P. Boyle
Author:
V. Gülpers
Author:
J. Harrison
Author:
C. Lehner
Author:
A. Portelli
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