Wave Climate Variability and Trends in Tuvalu Based on a 44-Year High-Resolution Wave Hindcast

We compute the matching coefficient between the quantum chromodynamics (QCD) and the non-relativistic QCD (NRQCD) for the flavor-changing scalar current involving the heavy charm and bottom quark, up to the three-loop order within the NRQCD factorization. For the first time, we obtain the analytical expressions for the three loop renormalization constant Z(s)(similar to)(x, R (f)) and the corresponding anomalous dimension gamma(similar to)(s)(x, R f) for the NRQCD scalar current with the two heavy bottom and charm quark. We present the precise numerical results for those relevant coefficients (C-FF (x(0)), . . . , C-FBB(x(0))) with an accuracy of about thirty digits. The three-loop QCD correction turns out to be significantly large. The obtained matching coefficient C-s(mu (f), mu, m(b), m(c)) is helpful to analyze the threshold behaviours when two different heavy quarks are close to each other and form the double heavy Bc meson family.