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 ($ε$) and the quark-mass ratio $m_u/m_d$.

7 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)