Contribution to a conference proceedings/Contribution to a book

FZJ-2017-01490

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED

Varnhorst, L. (Corresponding author) ; Durr, S.FZJ* ; Fodor, Z. ; Hoelbling, C. ; Krieg, S.FZJ* ; Lellouch, L. ; Portelli, A. ; Sastre, A. ; Szabo, K.FZJ*

2017
SISSA Trieste

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Please use a persistent id in citations: http://hdl.handle.net/2128/13891

Abstract: We present a determination of the corrections to Dashen's theorem and of the individual up and down quark masses from a lattice calculation based on quenched QED and $N_f =2+1$ QCD simulations with 5 lattice spacings down to 0.054 fm. The simulations feature lattice sizes up to 6 fm and average up-down quark masses all the way down to their physical value. For the parameter which quantifies violations to Dashens's theorem we obtain $\epsilon=0.73(2)(5)(17)$, where the first error is statistical, the second is systematic, and the third is an estimate of the QED quenching error. For the light quark masses we obtain, $m_u=2.27(6)(5)(4) \, MeV$ and $m_d=4.67(6)(5)(4) \, MeV$ in the $\overline{MS}$ scheme at $2 \, GeV$ and the isospin breaking ratios $m_u/m_d=0.485(11)(8)(14)$, $R=38.2(1.1)(0.8)(1.4)$ and $Q=23.4(0.4)(0.3)(0.4)$. Our results exclude the $m_u=0$ solution to the strong CP problem by more than 24 standard deviations.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2017

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