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Towards leading isospin breaking effects in mesonic masses with open boundaries

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arxiv 1811.00895 v1 pith:QD3YOX7W submitted 2018-11-02 hep-lat

Towards leading isospin breaking effects in mesonic masses with open boundaries

classification hep-lat
keywords massesboundariesisospinopenbreakingcouplingeffectsleading
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions with open boundaries. Isospin symmetry is explicitly broken by distinct masses and electric charges of the up and down quarks. In order to be able to make use of existing isosymmetric QCD gauge ensembles we apply reweighting techniques. The path integral describing QCD+QED is expanded perturbatively in powers of deviations in the quark masses and the inverse strong coupling as well as the electromagnetic coupling. We have constructed QED$_{\mathrm{L}}$, which we use as a finite volume formulation of QED, for open boundaries. We will also give a first insight into contributions from quark disconnected diagrams.

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