000811030 001__ 811030 000811030 005__ 20210129223705.0 000811030 0247_ $$2doi$$a10.1007/JHEP04(2016)093 000811030 0247_ $$2ISSN$$a1029-8479 000811030 0247_ $$2ISSN$$a1126-6708 000811030 0247_ $$2Handle$$a2128/11724 000811030 0247_ $$2WOS$$aWOS:000374340400004 000811030 0247_ $$2altmetric$$aaltmetric:4466294 000811030 037__ $$aFZJ-2016-03567 000811030 082__ $$a530 000811030 1001_ $$0P:(DE-HGF)0$$aHorsley, R.$$b0 000811030 245__ $$aQED effects in the pseudoscalar meson sector 000811030 260__ $$aBerlin$$bSpringer$$c2016 000811030 3367_ $$2DRIVER$$aarticle 000811030 3367_ $$2DataCite$$aOutput Types/Journal article 000811030 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1467617821_2696 000811030 3367_ $$2BibTeX$$aARTICLE 000811030 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000811030 3367_ $$00$$2EndNote$$aJournal Article 000811030 520__ $$aIn this paper we present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED, concentrating particularly on violations of isospin symmetry. We calculate the π +-π 0 splitting and also look at other isospin violating mass differences. We have presented results for these isospin splittings in [1]. In this paper we give more details of the techniques employed, discussing in particular the question of how much of the symmetry violation is due to QCD, arising from the different masses of the u and d quarks, and how much is due to QED, arising from the different charges of the quarks. This decomposition is not unique, it depends on the renormalisation scheme and scale. We suggest a renormalisation scheme in which Dashen’s theorem for neutral mesons holds, so that the electromagnetic self-energies of the neutral mesons are zero, and discuss how the self-energies change when we transform to a scheme such as M S, in which Dashen’s theorem for neutral mesons is violated. 000811030 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0 000811030 588__ $$aDataset connected to CrossRef 000811030 7001_ $$0P:(DE-HGF)0$$aNakamura, Y.$$b1 000811030 7001_ $$0P:(DE-HGF)0$$aPerlt, H.$$b2 000811030 7001_ $$0P:(DE-Juel1)144441$$aPleiter, D.$$b3$$ufzj 000811030 7001_ $$0P:(DE-HGF)0$$aRakow, P. E. L.$$b4$$eCorresponding author 000811030 7001_ $$0P:(DE-HGF)0$$aSchierholz, G.$$b5 000811030 7001_ $$0P:(DE-HGF)0$$aSchiller, A.$$b6 000811030 7001_ $$0P:(DE-HGF)0$$aStokes, R.$$b7 000811030 7001_ $$0P:(DE-HGF)0$$aStüben, H.$$b8 000811030 7001_ $$0P:(DE-HGF)0$$aYoung, R. D.$$b9 000811030 7001_ $$0P:(DE-HGF)0$$aZanotti, J. 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