https://doi.org/10.1140/epjc/s10052-015-3757-2
Regular Article - Theoretical Physics
Localized direct CP violation in
1
College of Nuclear Science and Technology, Beijing Normal University, Beijing, 100875, China
2
School of Nuclear Science and Technology, University of South China, Hengyang, 421001, Hunan, China
* e-mail: xhguo@bnu.edu.cn
Received:
24
August
2015
Accepted:
22
October
2015
Published online:
17
November
2015
We study the localized direct CP violation in the hadronic decays , including the effect caused by an interesting mechanism involving the charge symmetry violating mixing between
and
. We calculate the localized integrated direct CP violation when the low invariant mass of
[
] is near
. For the five models of form factors investigated, we find that the localized integrated direct CP violation varies from
to
in the ranges of parameters in our model when
GeV. This result, especially the sign, agrees with the experimental data and is independent of the form factor models. The new experimental data shows that the signs of the localized integrated CP asymmetries in the regions
and
GeV are positive and negative, respectively. We find that
–
mixing makes the localized integrated CP asymmetry move toward the negative direction, and therefore contributes to the sign change in those two regions. This behavior is also independent of the form factor models. We also calculate the localized integrated direct CP violating asymmetries in the regions
,
and the whole region
GeV and find that they agree with the experimental data in some models of the form factors.
© SIF and Springer-Verlag Berlin Heidelberg, 2015