Towards leading isospin breaking effects in mesonic masses with $O(a)$ improved Wilson fermions

Abstract

We present an exploratory study of leading isospin breaking effects in mesonic masses using $O(a)$ improved Wilson fermions. 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 the light quarks' mass deviations and the electromagnetic coupling. We employ QED${}_{\mathrm{L}}$ as a finite volume formulation of QED.

8 pages, 1 figure, proceedings to poster presented at 35th annual International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

References in corpus (3)

• Ab initio calculation of the neutron-proton mass difference
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study

Cited by in corpus (6)

• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Lattice calculation of the hadronic leading order contribution to the muon $g-2$