Branching fractions and direct CP violation in charmless three-body decays of B mesons

被引：95

作者：

Cheng, Hai-Yang ^{[1
]}

Chua, Chun-Khiang ^{[2
,3
]}

机构：

[1] Acad Sinica, Inst Phys, Taipei 115, Taiwan

[2] Chung Yuan Christian Univ, Dept Phys, Chungli 320, Taiwan

[3] Chung Yuan Christian Univ, Ctr High Energy Phys, Chungli 320, Taiwan

来源：

PHYSICAL REVIEW D | 2013年 / 88卷 / 11期

关键词：

FINAL-STATE INTERACTIONS; QCD FACTORIZATION;

D O I：

10.1103/PhysRevD.88.114014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Charmless three-body decays of B mesons are studied using a simple model based on the framework of the factorization approach. Hadronic three-body decays receive both resonant and nonresonant contributions. Dominant nonresonant contributions to tree-dominated three-body decays arise from the b -> u tree transition which can be evaluated using heavy-meson chiral perturbation theory valid in the soft-meson limit. For penguin-dominated decays, nonresonant signals come mainly from the penguin amplitude governed by the matrix elements of scalar densities < M1M2 vertical bar(q) over bar (1)(q) over bar (2)vertical bar 0 >. We use the measurements of (B) over bar (0) -> KSKSKS to constrain the nonresonant component of < K (K) over bar vertical bar(s) over bars vertical bar 0 >. The intermediate vector-meson contributions to three-body decays are identified through the vector current, while the scalar-meson resonances are mainly associated with the scalar density. While the calculated direct CP violation in B- -> K+K-K- and B- -> pi(+)pi(-)pi(-) decays agrees well with experiment in both magnitude and sign, the predicted CP asymmetries in B- -> pi-K+K- and B- -> K-pi(+)pi(-) have incorrect signs when confronted with experiment. It has been conjectured recently that a possible resolution to this CP puzzle may rely on final-state rescattering of pi(+)pi(-) and K+K-. Assuming a large strong phase associated with the matrix element < K pi vertical bar(s) over barq vertical bar 0 > arising from some sort of power corrections, we fit it to the data of K- pi(+)pi(-) and find a correct sign for pi-K+K-. We predict some testable CP violation in (B) over bar (0) -> K+K-pi(0) and K+K-KS. In the low-mass regions of the Dalitz plot, we find that the regional CP violation is indeed largely enhanced with respect to the inclusive one, though it is still significantly below the data. In this work, strong phases arise from effective Wilson coefficients, propagators of resonances, and the matrix element of the scalar density < M1M2 vertical bar(q) over bar (1)(q) over bar (2)vertical bar 0 >.

引用

页数：24

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