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The decays in the pQCD approach beyond the leading-order
Two body meson decays involving the radially excited meson
in the final states are studied by using the perturbative
QCD (pQCD) approach. We find that: (a) The branching ratios for the decays
involving meson are predicted as
, which are
consistent well with the present data when including the next-to-leading-order
(NLO) effects. Here the NLO effects are from the vertex corrections and the NLO
Wilson coefficients. The large errors in the decay are
mainly induced by using the decay constant
GeV with large uncertainties. (b)
While there seems to be some room left for other higher order corrections or
the non-perturbative long distance contributions in the decays involving
meson, , which are smaller
than the present data. The results for other decays can be tested at the
running LHCb and forthcoming Super-B experiments. (c) There is no obvious
evidence of the direct CP violation being seen in the decays in the present experiments, which is
supported by our calculations. If a few percent value is confirmed in the
future , it would indicate new physics definitely.Comment: 11 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1705.0052
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