Numerical investigation of finite-volume effects for the HVP
Numerical investigation of finite-volume effects for the HVP
It is important to correct for finite-volume (FV) effects in the presence of QED, since these effects are typically large due to the long range of the electromagnetic interaction. We recently made the first lattice calculation of electromagnetic corrections to the hadronic vacuum polarisation (HVP). For the HVP, an analytical derivation of FV corrections involves a two-loop calculation which has not yet been carried out. We instead calculate the universal FV corrections numerically, using lattice scalar QED as an effective theory. We show that this method gives agreement with known analytical results for scalar mass FV effects, before applying it to calculate FV corrections for the HVP. This method for numerical calculation of FV effects is also widely applicable to quantities beyond the HVP.
1-8
Boyle, Peter
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Gülpers, Vera
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Harrison, James
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Jüttner, Andreas
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Portelli, Antonin
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Sachrajda, Christopher
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2018
Boyle, Peter
78a2aebf-aea7-4925-b5df-ead4b4da6fb2
Gülpers, Vera
8547047e-ffc3-4a5a-8c75-22dd175ab1b2
Harrison, James
59274288-5351-4f0b-a7df-0a9042b71e49
Jüttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Portelli, Antonin
a2526d4a-144e-4095-802a-229cddb10f0f
Sachrajda, Christopher
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Boyle, Peter, Gülpers, Vera, Harrison, James, Jüttner, Andreas, Portelli, Antonin and Sachrajda, Christopher
(2018)
Numerical investigation of finite-volume effects for the HVP.
EPJ Web of Conferences, 175, , [06022].
(doi:10.1051/epjconf/201817506022).
Abstract
It is important to correct for finite-volume (FV) effects in the presence of QED, since these effects are typically large due to the long range of the electromagnetic interaction. We recently made the first lattice calculation of electromagnetic corrections to the hadronic vacuum polarisation (HVP). For the HVP, an analytical derivation of FV corrections involves a two-loop calculation which has not yet been carried out. We instead calculate the universal FV corrections numerically, using lattice scalar QED as an effective theory. We show that this method gives agreement with known analytical results for scalar mass FV effects, before applying it to calculate FV corrections for the HVP. This method for numerical calculation of FV effects is also widely applicable to quantities beyond the HVP.
Text
epjconf_lattice2018_06022
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More information
Accepted/In Press date: 1 January 2018
e-pub ahead of print date: 26 March 2018
Published date: 2018
Identifiers
Local EPrints ID: 419967
URI: http://eprints.soton.ac.uk/id/eprint/419967
ISSN: 2101-6275
PURE UUID: b7ebd84a-a2b2-4302-9606-458601a91120
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Date deposited: 25 Apr 2018 16:30
Last modified: 18 Mar 2024 03:22
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Author:
Peter Boyle
Author:
Vera Gülpers
Author:
James Harrison
Author:
Antonin Portelli
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