Measurement of the CP-violating phase $\beta$ in $B^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays and limits on penguin effects

Abstract

Time-dependent CP violation is measured in the $B^0\to J/\psi {\pi }^{+}{\pi }^{-}$ channel for each ${\pi }^{+}{\pi }^{-}$ resonant final state using data collected with an integrated luminosity of 3.0 fb${}^{-1}$ in $pp$ collisions using the LHCb detector. The final state with the largest rate, $J/\psi {\rho }^0(770)$, is used to measure the CP-violating angle $2{\beta }^{\mathrm{eff}}$ to be $(41.7\pm 9.6_{-6.3}^{+2.8}{)}^{\circ }$. This result can be used to limit the size of penguin amplitude contributions to CP violation measurements in, for example, $B_s^0\to J/\psi \varphi$ decays. Assuming approximate SU(3) flavour symmetry and neglecting higher order diagrams, the shift in the CP-violating phase ${\varphi }_s$ is limited to be within the interval [$-1.05^{\circ }$, +$1.18^{\circ }$] at 95% confidence level. Changes to the limit due to SU(3) symmetry breaking effects are also discussed.

18 pages, 6 figures; v2-updated from reviewers comments and added a figure

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