A New Determination of Mb Using Lattice QCD
C. T. H. Davies, K. Hornbostel, A. Langnau, G. P. Lepage, A. Lidsey, C. J. Morningstar, J. Shigemitsu, J. Sloan
Abstract
Recent results from lattice QCD simulations provide a realistic picture, based upon first principles, of~Υ physics. We combine these results with the experimentally measured mass of the Υ~meson to obtain an accurate and reliable value for the b-quark's pole mass. We use two different methods, each of which yields a mass consistent with Mb = 5.0(2)~GeV. This corresponds to a bare mass of Mb0 = 4.0(1)~GeV in our lattice theory and an ~mass of Mb(Mb)=4.0(1)~GeV. We discuss the implications of this result for the c-quark mass. ******************************************************************************* THIS IS THE VERSION WHICH WILL BE PUBLISHED IN PRL. SUBSTANTIAL MATERIAL HAS BEEN ADDED, INCLUDING RESULTS WITH DYNAMICAL FERMIONS AND A CALCULATION OF THE MSBAR MASS. *******************************************************************************
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