QED effects in the pseudoscalar meson sector

QED effects in the pseudoscalar meson sector
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DOI:
10.1007/jhep04(2016)093
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发表时间:
2015-09
影响因子:
5.4
通讯作者:
R. Horsley;Y. Nakamura;H. Perlt;D. Pleiter;P. Rakow;G. Schierholz;A. Schiller;R. Stokes;H. Stüben;R. Young;J. Zanotti;for the CDFD0 Collaborations
R. Horsley;Y. Nakamura;H. Perlt;D. Pleiter;P. Rakow;G. Schierholz;A. Schiller;R. Stokes;H. Stüben;R. Young;J. Zanotti;for the CDFD0 Collaborations
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Horsley;Y. Nakamura;H. Perlt;D. Pleiter;P. Rakow;G. Schierholz;A. Schiller;R. Stokes;H. Stüben;R. Young;J. Zanotti;for the CDFD0 Collaborations

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在本文中,我们提出的赝标介子质量的QCD+ QED的完全动力学模拟的结果,特别是集中在同位旋对称性的破坏。我们计算了π+-π 0分裂,并研究了其他的同位旋破坏质量差。我们在[1]中给出了这些同位旋分裂的结果。在本文中,我们给出更多的细节所采用的技术,特别是讨论的问题,有多少对称性破坏是由于QCD,所产生的不同质量的u和d夸克,有多少是由于QED,所产生的不同费用的夸克。这种分解不是唯一的,它取决于重正化方案和规模。我们提出了一个重整化方案,使中性介子的Dashen定理成立,使中性介子的电磁自能为零,并讨论了当我们变换到一个方案如M\S时,自能如何变化,其中违反了中性介子的Dashen定理.
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\(\overline {M\S}\), in which Dashen’s theorem for neutral mesons is violated.