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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
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.
1029-8479
Boyle, P.
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Gülpers, V.
6e7aa014-5f1d-4673-a8c7-8a4e66e7dbb0
Harrison, J.
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Jüttner, A.
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Lehner, C.
f5ed25c1-68c1-4a5f-9e01-73233639caae
Portelli, A.
a2526d4a-144e-4095-802a-229cddb10f0f
Sachrajda, C.T.
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Boyle, P.
d2737c8a-ba0a-4adc-9670-77aa7732cdeb
Gülpers, V.
6e7aa014-5f1d-4673-a8c7-8a4e66e7dbb0
Harrison, J.
3bf4b4aa-9186-45bb-9888-87bf46284172
Jüttner, A.
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Lehner, C.
f5ed25c1-68c1-4a5f-9e01-73233639caae
Portelli, A.
a2526d4a-144e-4095-802a-229cddb10f0f
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7

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, 09

Record type: Article

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.

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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
ORCID for J. Harrison: ORCID iD orcid.org/0000-0002-3643-0489

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Date deposited: 11 Oct 2017 16:31
Last modified: 15 Oct 2017 16:46

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Contributors

Author: P. Boyle
Author: V. Gülpers
Author: J. Harrison ORCID iD
Author: A. Jüttner
Author: C. Lehner
Author: A. Portelli
Author: C.T. Sachrajda

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