Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
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 m π = 340 MeV. We include QED in an electr...
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doaj-210c9a4650a043238a4cb431c783d9f62020-11-25T00:29:49ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017915210.1007/JHEP09(2017)153Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative studyP. Boyle0V. Gülpers1J. Harrison2A. Jüttner3C. Lehner4A. Portelli5C.T. Sachrajda6School of Physics and Astronomy, University of EdinburghSchool of Physics and Astronomy, University of SouthamptonSchool of Physics and Astronomy, University of SouthamptonSchool of Physics and Astronomy, University of SouthamptonPhysics Department, Brookhaven National LaboratorySchool of Physics and Astronomy, University of EdinburghSchool of Physics and Astronomy, University of SouthamptonAbstract 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 m π = 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.http://link.springer.com/article/10.1007/JHEP09(2017)153Lattice QCDLattice Quantum Field Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
P. Boyle V. Gülpers J. Harrison A. Jüttner C. Lehner A. Portelli C.T. Sachrajda |
spellingShingle |
P. Boyle V. Gülpers J. Harrison A. Jüttner C. Lehner A. Portelli C.T. Sachrajda Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study Journal of High Energy Physics Lattice QCD Lattice Quantum Field Theory |
author_facet |
P. Boyle V. Gülpers J. Harrison A. Jüttner C. Lehner A. Portelli C.T. Sachrajda |
author_sort |
P. Boyle |
title |
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study |
title_short |
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study |
title_full |
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study |
title_fullStr |
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study |
title_full_unstemmed |
Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study |
title_sort |
isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2017-09-01 |
description |
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 m π = 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. |
topic |
Lattice QCD Lattice Quantum Field Theory |
url |
http://link.springer.com/article/10.1007/JHEP09(2017)153 |
work_keys_str_mv |
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