TY  - EJOUR
AU  - Horsley, R.
AU  - Nakamura, Y.
AU  - Perlt, H.
AU  - Pleiter, D.
AU  - Rakow, P. E. L.
AU  - Schierholz, G.
AU  - Schiller, A.
AU  - Stokes, R.
AU  - Stüben, H.
AU  - Young, R. D.
AU  - Zanotti, J. M.
TI  - QED effects in the pseudoscalar meson sector
IS  - ADP-15-30-T932
M1  - PUBDB-2015-03684
M1  - ADP-15-30-T932
M1  - DESY-15-158
M1  - EDINBURGH-2015-20
M1  - LIVERPOOL-LTH-1055
M1  - arXiv:1509.00799
PY  - 2015
AB  - We present results on the pseudoscalar meson masses from a fully dynamical simulation of QCD+QED. We concentrate particularly on violations of isospin symmetry. We calculate the π<sup>+</sup>-π<sup>0</sup> splitting and also look at other isospin violating mass differences. We have presented results for these isospin splittings in arXiv:1508.06401 [hep-lat]. 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 Dashens 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 overlineMS, in which Dashens theorem for neutral mesons is violated.
KW  - isospin: violation (autogen)
KW  - symmetry: violation (autogen)
KW  - quantum electrodynamics: effect (autogen)
KW  - pseudoscalar meson: mass (autogen)
KW  - isospin: symmetry (autogen)
KW  - quark: charge (autogen)
KW  - meson (autogen)
KW  - quantum chromodynamics (autogen)
KW  - renormalization (autogen)
KW  - propagator (autogen)
KW  - splitting (autogen)
KW  - electromagnetic (autogen)
KW  - mass difference (autogen)
LB  - PUB:(DE-HGF)25 ; PUB:(DE-HGF)15
UR  - https://bib-pubdb1.desy.de/record/274916
ER  -