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

(10) University of California; (11) University of Arizona; (12) Fermilab); (2) University of Iowa; (3) Washington University; (4) University of Utah; (5) School of the Art Institute of Chicago; (6) Indiana University; (7) American Physical Society; (8) Syracuse University

arxiv: 1606.01228 · v1 · pith:5KADKYEWnew · submitted 2016-06-03 · ✦ hep-lat · hep-ph

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

MILC Collaboration: S. Basak (1) , A. Bazavov (2) , C. Bernard (3) , C. DeTar (4) , E. Freeland (5) , J. Foley (4) , Steven Gottlieb (6) , U.M. Heller (7)

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J. Komijani (3) J. Laiho (8) L. Levkova (3) J. Osborn (9) R.L. Sugar (10) A. Torok (6) D. Toussaint (11) R.S. Van de Water (12) R. Zhou (12) ((1) NISER (2) University of Iowa (3) Washington University (4) University of Utah (5) School of the Art Institute of Chicago (6) Indiana University (7) American Physical Society (8) Syracuse University (9) Argonne National Laboratory (10) University of California Santa Barbara (11) University of Arizona (12) Fermilab)

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keywords approxeffectselectromagneticlatticelightmesonsasqtadcalculations

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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 $m_u/m_d$.

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