Electromagnetic effects on the light pseudoscalar mesons and determination of $m_u/m_d$

Abstract

The MILC Collaboration has completed production running of electromagnetic effects on light mesons using asqtad improved staggered quarks. In these calculations, we use quenched photons in the noncompact formalism. We study four lattice spacings from $\approx 0.12$fm to $\approx 0.045$fm. To study finite-volume effects, we used six spatial lattice sizes $L/a=12$, 16, 20, 28, 40, and 48, at $a\approx 0.12$fm. We update our preliminary values for the correction to Dashen's theorem ($\epsilon$) and the quark-mass ratio $m_u/m_d$.

arXiv comment7 pages, 3 figures, to appear in the Proceedings of Lattice 2015, The 33rd International Symposium on Lattice Field Theory, held 14 -18 July 2015, at Kobe International Conference Center, Kobe, Japan. Will be published by Proceedings of Science, pos.sissa.it, PoS(LATTICE2015)

References in corpus (11)

• Ab initio calculation of the neutron-proton mass difference
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Review of lattice results concerning low energy particle physics
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Results from the MILC collaboration's SU(3) chiral perturbation theory analysis
• Electromagnetic splittings of hadrons from improved staggered quarks in full QCD
• Electromagnetic effects on the light hadron spectrum
• Electromagnetic contributions to pseudoscalar masses
• Finite-volume effects and the electromagnetic contributions to kaon and pion masses
• Dynamical QCD+QED simulation with staggered quarks

Cited by in corpus (5)

• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
• Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED
• Lattice QCD and the anomalous magnetic moment of the muon
• Electromagnetic Corrections to Meson Masses and the HVP