EPJ Web Conf.
Volume 175, 201835th International Symposium on Lattice Field Theory (Lattice 2017)
|Number of page(s)||8|
|Section||6 Hadron Structure|
|Published online||26 March 2018|
Numerical investigation of finite-volume effects for the HVP
School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
2 School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
* Speaker, e-mail: J.Harrison@soton.ac.uk
Published online: 26 March 2018
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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