Time-dependent Dalitz-plot formalism for B_q -> J/ψ h+ h-

Abstract

A formalism for measuring time-dependent CP violation in B_q -> J/ψh+ h- decays with J/ψ-> mu+ mu- is developed for the general case where there can be many h+ h- final states of different angular momentum present. Here h refers to any spinless meson. The decay amplitude is derived using similar considerations as those in a Daltiz like analysis of three-body spinless mesons taking into account the fact that the J/ψis spin-1, and the various interferences allowed between different final states. Implementation of this procedure can, in principle, lead to the use of a larger number of final states for CP violation studies.

To be published in Physics Lett. B, 11 pages 1 figure, version 2, fixed error in middle term of Eq. (23)

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• Measurement of the resonant and CP components in ${\overline{B}}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• Measurement of the CP-violating phase ${\varphi }_s$ in ${\overline{B}}_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• A new parametrization for the scalar pion form factors
• Measurement of the CP-violating phase $\beta$ in $B^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays and limits on penguin effects
• A Roadmap to Control Penguin Effects in $B_d^0\to J/\psi K_{\mathrm{S}}^0$ and $B_s^0\to J/\psi \varphi$
• Amplitude analysis and branching fraction measurement of Bs->J/ψK+K-
• Penguin Pollution in $B\to J/\psi V$ Decays and Impact on the Extraction of the $B_s-{\bar{B}}_s$ mixing phase
• Resonances and $CP$ violation in $B_s^0$ and ${\overline{B}}_s^0\to J/\psi K^{+}{K}^{-}$ decays in the mass region above the $\varphi (1020)$
• Measurement of $CP$ violation parameters and polarisation fractions in $B_s^0\to J/\psi {\overline{K}}^{\ast 0}$ decays
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• Measurement of the $CP$-violating phase ${\varphi }_s$ from $B_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays in 13 TeV $pp$ collisions
• Recent Developments on the CKM Matrix
• Analysis of the nonleptonic charmonium modes $B_s^0\to J/\psi f_2^{\prime }(1525)$ and $B_s^0\to J/\psi K^{+}{K}^{-}$
• Theoretical Prospects for B Physics
• $CP$ violation in $B_s^0$ decays at LHCb
• Observation of $CP$ violation in $B^0\to J/\psi \rho (770{)}^0$ decays