CERN Accelerating science

\small Binning schemes for (left) \DtoKspp decays and (right) \DtoKskk decays. The diagonal line separates the positive and negative bins, where the positive bins are in the region in which $\msqmin > \msqplus$ is satisfied.

\small Binning schemes for (left) \DtoKspp decays and (right) \DtoKskk decays. The diagonal line separates the positive and negative bins, where the positive bins are in the region in which $\msqmin > \msqplus$ is satisfied.

\small Binning schemes for (left) \DtoKspp decays and (right) \DtoKskk decays. The diagonal line separates the positive and negative bins, where the positive bins are in the region in which $\msqmin > \msqplus$ is satisfied.

\small Binning schemes for (left) \DtoKspp decays and (right) \DtoKskk decays. The diagonal line separates the positive and negative bins, where the positive bins are in the region in which $\msqmin > \msqplus$ is satisfied.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Dalitz plot for $\D$ decays of (left) $\Bp\to\D\Kp$ and (right) $\Bm\to\D\Km$ candidates in the signal region, in the (top) \DtoKspipi and (bottom) \DtoKsKK channels. The horizontal and vertical axes are interchanged between the \Bp and \Bm decay plots to aid visualisation of the \CP asymmetries between the two distributions.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKspp. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). A particle within square brackets in the legend denotes the particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKspp. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). Square brackets in the legend denote a particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKspp. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). A particle within square brackets in the legend denotes the particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKspp. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). Square brackets in the legend denote a particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKskk. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). A particle within square brackets in the legend denotes the particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKskk. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). Square brackets in the legend denote a particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKskk. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). A particle within square brackets in the legend denotes the particle that has not been reconstructed.

Invariant mass distributions for the (left) \BtoDK channel and (right) \BtoDpi channel with \DtoKskk. The top (bottom) plots show data where the \KS candidate is \emph{long} (\emph{downstream}). Square brackets in the legend denote a particle that has not been reconstructed.

Confidence levels at 68.2\,\% and 95.5\,\% probability for (left, blue) $(\xp^{\D\Kpm},\yp^{\D\Kpm})$, (left, red) $(\xm^{\D\Kpm}, \ym^{\D\Kpm})$, and (right, green) $(x_\xi^{\D\pipm},y_\xi^{\D\pipm}) $ as measured in \BtoDK and \BtoDpi decays with a profile likelihood scan. The black dots show the central values

Confidence levels at 68.2\,\% and 95.5\,\% probability for (left, blue) $(\xp^{\D\Kpm},\yp^{\D\Kpm})$, (left, red) $(\xm^{\D\Kpm}, \ym^{\D\Kpm})$, and (right, green) $(x_\xi^{\D\pipm},y_\xi^{\D\pipm}) $ as measured in \BtoDK and \BtoDpi decays with a profile likelihood scan. The black dots show the central values

The bin-by-bin asymmetries $(N^-_{-i}-N^+_{+i})/(N^-_{-i}+N^+_{+i})$ for each Dalitz-plot bin number for (left) \BtoDK decays and (right) \BtoDpi decays. The prediction from the central values of the \CP-violation observables is shown with a solid line and the asymmetries obtained in fits with independent bin yields are shown with the error bars. The predicted asymmetries in a fit that does not allow for \CP violation are shown with a dotted line. The vertical dashed line separates the \Kspipi and \KsKK bins on the horizontal axis.

The bin-by-bin asymmetries $(N^-_{-i}-N^+_{+i})/(N^-_{-i}+N^+_{+i})$ for each Dalitz-plot bin number for (left) \BtoDK decays and (right) \BtoDpi decays. The prediction from the central values of the \CP-violation observables is shown with a solid line and the asymmetries obtained in fits with independent bin yields are shown with the error bars. The predicted asymmetries in a fit that does not allow for \CP violation are shown with a dotted line. The vertical dashed line separates the \Kspipi and \KsKK bins on the horizontal axis.

The bin-by-bin asymmetries $(N^-_{-i}-N^+_{+i})/(N^-_{-i}+N^+_{+i})$ for each Dalitz-plot bin number for (left) \BtoDK decays and (right) \BtoDpi decays. The prediction from the central values of the \CP-violation observables is shown with a solid line and the asymmetries obtained in fits with independent bin yields are shown with the error bars. The predicted asymmetries in a fit that does not allow for \CP violation are shown with a dotted line. The vertical dashed line separates the \Kspipi and \KsKK bins on the horizontal axis.

The bin-by-bin asymmetries $(N^-_{-i}-N^+_{+i})/(N^-_{-i}+N^+_{+i})$ for each Dalitz-plot bin number for (left) \BtoDK decays and (right) \BtoDpi decays. The prediction from the central values of the \CP-violation observables is shown with a solid line and the asymmetries obtained in fits with independent bin yields are shown with the error bars. The predicted asymmetries in a fit that does not allow for \CP violation are shown with a dotted line. The vertical dashed line separates the \Kspipi and \KsKK bins on the horizontal axis.

Confidence limits for the CKM angle $\gamma$ obtained using the method described in Ref.~\cite{LHCb-PAPER-2016-032}.

Confidence limits for the CKM angle $\gamma$ obtained using the method described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.

The 68\,\% and 95\,\% confidence regions for combinations of the physics parameters $(\g, \rBDK, \dBDK,\rBDpi, \dBDpi)$ obtained using the methods described in Ref.~\cite{LHCb-PAPER-2016-032}.