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Article overview
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Resolving the $B o K pi$ puzzle by Glauber-gluon effects | | Xin Liu
; Hsiang-nan Li
; Zhen-Jun Xiao
; | | Date: |
20 Oct 2015 | | Abstract: | We extend the perturbative QCD (PQCD) formalism including the Glauber gluons,
which has been shown to accommodate the measured $B o pi pi$ and
$B^0 o
ho^0
ho^0$ branching ratios simultaneously, to the analysis of the
$B o K pi$ and $K ar K$ decays. It is observed that the convolution of the
universal Glauber phase factors with the transverse-momentum-dependent kaon
wave function reveals weaker (stronger) Glauber effects than in the pion
($
ho$ meson) case as expected. Our predictions for the branching ratios and
the direct CP asymmetries of the $B o K pi$ and $K ar K$ modes at
next-to-leading-order accuracy agree well with data. In particular, the
predicted difference of the $B^pm o K^pm pi^0$ and $B^0 o K^pm pi^mp$
direct CP asymmetries, $Delta A_{Kpi}equiv A_{
m CP}^{
m dir}(K^pm
pi^0)[0.021 pm 0.016] - A_{
m CP}^{
m dir}(K^pm pi^mp)[-0.081 pm 0.017]
= 0.102 pm 0.023$, is consistent with the measured $Delta A_{Kpi} = 0.119
pm 0.022$ within uncertainties, and the known $B o Kpi$ puzzle is resolved.
The above $B o pi pi$, $Kpi$ and $K ar K$ studies confirm that the
Glauber gluons associated with pseudo Nambu-Goldstone bosons enhance the
color-suppressed tree amplitude significantly, but have a small impact on other
topological amplitudes. | | Source: | arXiv, 1510.5910 | | Services: | Forum | Review | PDF | Favorites | |
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