QED effects in the pseudoscalar meson sector

Horsley, R, Nakamura, Y, Perlt, H, Pleiter, D, Rakow, PEL ORCID: 0000-0003-4486-2158, Schierholz, G, Schiller, A, Stokes, R, Stueben, H, Young, RD
et al (show 3 more authors) (2016) QED effects in the pseudoscalar meson sector. JOURNAL OF HIGH ENERGY PHYSICS, 2016 (04).

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In this paper we present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED, concentrating particularly on violations of isospin symmetry. We calculate the π +-π 0 splitting and also look at other isospin violating mass differences. We have presented results for these isospin splittings in [1]. In this paper we give more details of the techniques employed, discussing in particular the question of how much of the symmetry violation is due to QCD, arising from the different masses of the u and d quarks, and how much is due to QED, arising from the different charges of the quarks. This decomposition is not unique, it depends on the renormalisation scheme and scale. We suggest a renormalisation scheme in which Dashen’s theorem for neutral mesons holds, so that the electromagnetic self-energies of the neutral mesons are zero, and discuss how the self-energies change when we transform to a scheme such as

Item Type: Article
Uncontrolled Keywords: Lattice QCD, Lattice Gauge Field Theories
Depositing User: Symplectic Admin
Date Deposited: 06 Jul 2016 08:33
Last Modified: 07 Jan 2022 01:10
DOI: 10.1007/JHEP04(2016)093
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3002115