The University of Southampton
University of Southampton Institutional Repository

Numerical investigation of finite-volume effects for the HVP

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.

2101-6275
1-8
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
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, 1-8. (doi:10.1051/epjconf/201817506022).

Record type: Article

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 - Version of Record
Available under License Creative Commons Attribution.
Download (191kB)

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: https://eprints.soton.ac.uk/id/eprint/419967
ISSN: 2101-6275
PURE UUID: b7ebd84a-a2b2-4302-9606-458601a91120
ORCID for Antonin Portelli: ORCID iD orcid.org/0000-0002-6059-917X

Catalogue record

Date deposited: 25 Apr 2018 16:30
Last modified: 19 Jul 2019 00:42

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×