High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD

By B. Chakraborty, C. Davies, B. Galloway, P. Knecht, J. Koponen, G. Donald, R. Dowdall, G. Peter Lepage, Craig McNeile. 2014

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We present a new lattice QCD analysis of heavy-quark pseudoscalar-pseudoscalar correlators, using gluon configurations from the MILC Collaboration that include vacuum polarization from u , d , s , and c quarks ( n f = 4 ). We extract new values for the QCD coupling and for the c quark’s MS ¯ mass: α MS ¯ ( M Z , n f = 5 ) = 0.11822 ( 74 ) and m c ( 3 GeV , n f = 4 ) = 0.9851 ( 63 ) GeV . These agree well with our earlier simulations using n f = 3 sea quarks, vindicating the perturbative treatment of c quarks in that analysis. We also obtain a new nonperturbative result for the ratio of c and s quark masses: m c / m s = 11.652 ( 65 ) . This ratio implies m s ( 2 GeV , n f = 3 ) = 93.6 ( 8 ) MeV when it is combined with our new c mass. Combining m c / m s with our earlier m b / m c gives m b / m s = 52.55 ( 55 ) , which is several standard deviations (but only 4%) away from the Georgi-Jarlskop prediction from certain grand unified theories. Finally we obtain an n f = 4 estimate for m b / m c = 4.528 ( 54 ) which agrees well with our earlier n f = 3 result. The new ratio implies m b ( m b , n f = 5 ) = 4.162 ( 48 ) GeV .

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ed5917f3c1bd403873047a7728101ef567acf6a0

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