3,169 research outputs found
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
Three body radiative decay in the PQCD approach
We study the three body radiative decay by
introducing the pair distribution amplitudes (DAs) in the perturbative
QCD approach. This nonperturbative inputs, the two meson DAs, is very important
to simplify the calculations. Besides the dominant electromagnetic penguin
operator , the subleading contributions from chromomagnetic
penguin operator , quark-loop corrections and annihilation type
amplitudes are also considered. We find that the branching ratio for the decay
is about
, which is much
smaller compared with that for the decay . It is mainly
because that the former decay induces by with small CKM matrix
element being proportional to . The prediction for the direct CP
asymmetry is , which is well consistent with
the result from the U-spin symmetry approach. we also predict the decay spectrum, which exhibits a maximu at the
invariant masss around 1.95 GeV.Comment: 17 pages,6 figures, Accepted for publication in EPJ
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