QED effects in the pseudoscalar meson sector

Horsley, R. and Nakamura, Y. and Perlt, H. and Pleiter, D. and Rakow, P. E. L. and Schierholz, G. and Schiller, A. and Stokes, R. and Stueben, H. and Young, R. D. and Zanotti, J. M. (2016) QED effects in the pseudoscalar meson sector. JOURNAL OF HIGH ENERGY PHYSICS (4): 093. ISSN 1029-8479,

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Abstract

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 pi(+)-pi(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 (MS) over bar, in which Dashen's theorem for neutral mesons is violated.

Item Type: Article
Uncontrolled Keywords: MASS DIFFERENCE; QUARK MASSES; LATTICE QCD; RENORMALIZATION; Lattice QCD; Lattice Gauge Field Theories
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Apr 2019 07:22
Last Modified: 05 Apr 2019 07:22
URI: https://pred.uni-regensburg.de/id/eprint/3072

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