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The leading order strange quark-connected contribution to the muon anomalous magnetic moment from lattice QCD

The leading order strange quark-connected contribution to the muon anomalous magnetic moment from lattice QCD
The leading order strange quark-connected contribution to the muon anomalous magnetic moment from lattice QCD
I present a calculation of the leading strange quark-connected contribution to the anomalous magnetic moment of the muon, αμ(2)had,s , using lattice QCD. The calculation is performed on two ensembles with lattice extents of 483 x 96 and 643 x 128 with associated inverse lattice spacings of 1:730(4)GeV and 2:359(7)GeV. These were generated with the Iwasaki gauge action and 2+1 dynamical quark flavours, which, along with the valence quarks, are represented on the lattice using the Möbius domain wall fermion action. To account for a slight mistuning in the strange quark mass I use both unitary and partially quenched measurements on each ensemble.

I principally use the hybrid method to determine αμ(2)had,s , and I implement several variations of the method in order to quantify a systematic error associated with the selection of any particular variation. In addition, I use a Fourier transformation to compute the hadronic vacuum polarisation (HVP) at momenta not accessible on the lattice, a technique called sine cardinal interpolation (SCI). All these techniques produce results that are highly consistent with one another. Finite volume corrections are expected to be negligible, since G-parity prevents the strange vector current from coupling to pions in the isospin limit. My final result is

αμ(2)had,s = 53.1(9)(+1-3) x 10-10

where the first error is statistical and the second is systematic. The total error on this result (roughly 2%) is dominated by the statistical uncertainty, which suggests that the methods used here to compute αμ(2)had,s in the case of the strange HVP are robust.
University of Southampton
Spraggs, Matthew W.
e16d3687-1268-4cd3-b7d6-c8a609d9b0fb
Spraggs, Matthew W.
e16d3687-1268-4cd3-b7d6-c8a609d9b0fb
Juttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247

Spraggs, Matthew W. (2016) The leading order strange quark-connected contribution to the muon anomalous magnetic moment from lattice QCD. University of Southampton, Faculty of Physical and Sciences and Engineering, Doctoral Thesis, 149pp.

Record type: Thesis (Doctoral)

Abstract

I present a calculation of the leading strange quark-connected contribution to the anomalous magnetic moment of the muon, αμ(2)had,s , using lattice QCD. The calculation is performed on two ensembles with lattice extents of 483 x 96 and 643 x 128 with associated inverse lattice spacings of 1:730(4)GeV and 2:359(7)GeV. These were generated with the Iwasaki gauge action and 2+1 dynamical quark flavours, which, along with the valence quarks, are represented on the lattice using the Möbius domain wall fermion action. To account for a slight mistuning in the strange quark mass I use both unitary and partially quenched measurements on each ensemble.

I principally use the hybrid method to determine αμ(2)had,s , and I implement several variations of the method in order to quantify a systematic error associated with the selection of any particular variation. In addition, I use a Fourier transformation to compute the hadronic vacuum polarisation (HVP) at momenta not accessible on the lattice, a technique called sine cardinal interpolation (SCI). All these techniques produce results that are highly consistent with one another. Finite volume corrections are expected to be negligible, since G-parity prevents the strange vector current from coupling to pions in the isospin limit. My final result is

αμ(2)had,s = 53.1(9)(+1-3) x 10-10

where the first error is statistical and the second is systematic. The total error on this result (roughly 2%) is dominated by the statistical uncertainty, which suggests that the methods used here to compute αμ(2)had,s in the case of the strange HVP are robust.

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Published date: November 2016

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Local EPrints ID: 405216
URI: http://eprints.soton.ac.uk/id/eprint/405216
PURE UUID: 5506544c-9dde-4890-b47c-77ab727d7eba

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Date deposited: 18 Feb 2017 00:24
Last modified: 13 Mar 2019 20:18

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