Measurement of $B^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ Decays and Search for $B^0\to {\rho }^0{\rho }^0$

Abstract

We report on a search for the decay $B^0\to {\rho }^0{\rho }^0$ and other charmless modes with a ${\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ final state, including $B^0\to {\rho }^0{\pi }^{+}{\pi }^{-}$, non-resonant $B^0\to 4{\pi }^{\pm }$, $B^0\to {\rho }^0{f}_0(980)$, $B^0\to f_0(980)f_0(980)$ and $B^0\to f_0(980){\pi }^{+}{\pi }^{-}$. These results are obtained from a data sample containing 657 million $B\overline{B}$ pairs collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. We set an upper limit on $\mathcal{B}(B^0\to {\rho }^0{\rho }^0)$ of $1.0\times 10^{-6}$ at the 90% confidence level (C.L.). From our $B^0\to {\rho }^0{\rho }^0$ measurement and an isospin analysis, we determine the Cabibbo-Kobayashi-Maskawa phase ${\varphi }_2$ to be $91.7\pm 14.9$ degrees. We find excesses in $B^0\to {\rho }^0{\pi }^{+}{\pi }^{-}$ and non-resonant $B^0\to 4{\pi }^{\pm }$ with 1.3$\sigma$ and 2.5$\sigma$ significance, respectively. The corresponding branching fractions are less than $12.0\times 10^{-6}$ and $19.3\times 10^{-6}$ at the 90% C.L. In addition, we set 90% C.L. upper limits as follows: $\mathcal{B}(B^0\to {\rho }^0{f}_0(980))<0.3\times 10^{-6}$, $\mathcal{B}(B^0\to f_0(980)f_0(980))<0.1\times 10^{-6}$, and $\mathcal{B}(B^0\to f_0(980){\pi }^{+}{\pi }^{-})<3.8\times 10^{-6}$.

arXiv comment6 pages, 2 figures. Submitted to PRD(RC)

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• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Charmless Hadronic B-Meson Decays
• Improved Measurement of $B^{+}\to {\rho }^{+}{\rho }^0$ and Determination of the Quark-Mixing Phase Angle $\alpha$
• Study of B^0 -> rho^0 rho^0 decays, implications for the CKM angle phi_2 and search for other B^0 decay modes with a four-pion final state
• Measurements of Charmless Hadronic b->s Penguin Decays in the pi+pi-K+pi- Final State and First Observation of B0 -> rho0K+pi-
• B Factories
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