Abstract
We present a detailed analysis on the meson semileptonic decays, , up to next-to-leading order (NLO) QCD correction. We adopt the principle of maximum conformality (PMC) to set the renormalization scales for those decays. After applying the PMC scale setting, we determine the optimal renormalization scales for the transition form factors (TFFs). Because of the same -terms, the optimal PMC scales at the NLO level are the same for all those TFFs, i.e., . We adopt a strong coupling model from the massive perturbation theory to achieve a reliable pQCD estimation in this low energy region. Furthermore, we adopt a monopole form as an extrapolation for the TFFs to all their allowable region. Then, we predict , , , , where the uncertainties are squared averages of all the mentioned error sources. We show that the present prediction of the production cross section times branching ratio for relative to that for , i.e., , is in a better agreement with CDF measurements than the previous predictions.
- Received 27 July 2014
DOI:https://doi.org/10.1103/PhysRevD.90.034025
© 2014 American Physical Society