Some properties of B_c from Lattice QCD

Abstract

We discuss \(B_c\) mass (1S state) and decay constant \(f_{B_c}\) calculated by lattice non-relativistic quantum chromodynamcs(NRQCD) method. In leading order of \(v^2\), we found that \(M_{B_c} = 6.33(2)\) GeV and \(f_{B_c} = 395(2)\) MeV where the error bar is the statistical error only. Using these values, we estimate QCD effects to leptonic decay width of \(B_c\). The decay width is given by \(Γ(B_c \rightarrow l^+ν_l) = 0.86(15)m^2_l (1 - 0.0250(2)m^2_l)^2\times 10^{-14} ({\rm GeV})\), where \(m_l\) is in GeV. Relativistic correction and \(α_s\) correction to \(f_{B_c}\) have also been considered.