Direct CP Violation and Isospin Triangles of B-pipi Decays.pdf

Direct CP Violation and Isospin Triangles of B-pipi Decays.pdf

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Direct CP Violation and Isospin Triangles of B-pipi Decays

a r X i v : h e p - p h / 0 3 0 8 2 2 5 v 2 1 6 S e p 2 0 0 3 Direct CP Violation and Isospin Triangles of B → ππ Decays Zhi-zhong Xing CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China and Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918 (4), Beijing 100039, China ? (Electronic address: xingzz@mail.ihep.ac.cn) Abstract The recent observation of B0d → π0π0 and B?0d → π0π0 decay modes allows us to make a fresh isospin analysis of B → ππ transitions. We find that current experimental data can impose some model-independent constraints on the parameter space of direct CP violation in Bd → π+π? and Bd → π0π0. Furthermore, we establish a direct relationship between the weak phase α and the charge-averaged branching fractions and CP-violating asymmetries of B → ππ decays. PACS number(s): 12.15.Ff, 13.25.Hw, 11.30.Er, 14.40.Nd Typeset using REVTEX ?Mailing address 1 The major goal of B-meson factories is to test the Kobayashi-Maskawa mechanism of CP violation within the standard model and to detect possible new sources of CP violation beyond the standard model. So far the CP-violating asymmetry in B0d vs B? 0 d → J/ψKS decays has unambiguously been measured at KEK and SLAC [1], and the experimental result is compatible very well with the standard-model expectation. Some preliminary evidence for CP violation in a number of other B decays has also been reported by BaBar and Belle Collaborations [2]. Further experiments will provide much more precise data on CP violation in the B-meson system, from which one may cross-check the consistency of the Kobayashi-Maskawa picture and probe possible new physics. The charmless two-body nonleptonic decays B?0d → π+π?, B?0d → π0π0 and B?u → π0π?, which can be related to one another via the isospin triangle [3], have been of great in- terest in B physics for a stringent test of the factorization hypothesis, a quantitative analysis of final-state interactions, and a clean determination of the CP-

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