QED effects in the pseudoscalar meson sector

Roger Horsley, James Zanotti, Yoshifumi Nakamura, H. Perlt, D. Pleiter, Paul Rakow, G. Schierholz, Arwed Schiller, R Stokes, Hinnerk Stuben, Ross Young

Research output: Contribution to journalArticlepeer-review


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 M S⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯, in which Dashen’s theorem for neutral mesons is violated.
Original languageEnglish
Article number93
Number of pages24
JournalJournal of High Energy Physics
Issue number04
Early online date15 Apr 2016
Publication statusE-pub ahead of print - 15 Apr 2016


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