CERN Accelerating science

feyn3

\small (a) Tree level and (b) penguin diagram for $\Bzb$ decays into $J/\psi \pi^+\pi^-$.

\small Fit projection of $m(\pi^+\pi^-$) showing the different resonant contributions in the ``Best model" \cite{Aaij:2014siy}. The dip near 500 MeV is caused by the \KS veto.

Invariant mass of $J/\psi \pi^+\pi^-$ combinations with $\KS$ veto. The data have been fitted with double-Crystal ball signal and several background functions. The (purple) solid line shows the $\Bzb$ signal, the (brown) dotted line shows the combinatorial background, the (green) short-dashed shows the $B^-$ background, the (red) dot-dashed is $\Bsb\rightarrow J/\psi \pi^+\pi^-$, the (light blue) long-dashed is the sum of $\Bsb\rightarrow J/\psi\eta'$, $\Bsb\rightarrow J/\psi\phi$ when $\phi\to\pi^+\pi^-\pi^0$ backgrounds and the $\Lb \to \jpsi K^- p$ reflection, the (black) dot-long dashed is the $\Bdb\rightarrow J/\psi K^- \pi^+$ reflection and the (blue) solid line is the total.

Decay time distribution of $\BorBbar^0\to\jpsi \pi^+\pi^-$ candidates. The signal component is shown with a (red) dashed line, the background with a (black) dotted line, and the (blue) solid line represents the total. The lower plot shows the normalized residual distribution.

\small Fit projection of $m(\pi^+\pi^-)$ showing the different resonant contributions in the ``Best model" \cite{Aaij:2014siy}. The \KS veto causes the absence of events near 500\,MeV. The shape variation near 780\,MeV is due to interference between the $\rho(770)$ and $\omega(782)$ states. The total fit is the sum of the individual components plus their interferences.

The magnitude of the penguin induced shift $\delta_P$ on the \CP-violating phase in favoured decays, assuming SU(3) flavour symmetry, shown in grey or colour scale in degrees, as a function of the measured difference $\Delta2\beta_f$ (x-axis) and $\alpha_{\CP}=\frac{1-|\lambda_f|}{1+|\lambda_f|}$ (y-axis). Here we use fixed values for $\gamma=70^{\circ}$ and $\epsilon=0.0534$. The projected 68\% (solid) and 95\% (dashed) confidence levels on $\delta_P$ are shown by the egg-shaped contours.

Changes in the limit on the penguin induced phase change $\delta_P$ as a function of the difference in the penguin amplitude strong phases in $b\to c\bar{c}s$ and $b\to c\bar{c}d$ transitions $\theta-\theta'$, for $a=a'$.

Contours corresponding to 68\% (dashed) and 95\% (solid) confidence levels for ndf of two, respectively, for the penguin amplitude parameters $a^\prime$ and $\theta^\prime$.