Measurement of $CP$ violation and constraints on the CKM angle $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays

Abstract

A model-dependent amplitude analysis of $B^{\pm }\to D{K}^{\pm }$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays is performed using proton-proton collision data, corresponding to an integrated luminosity of $1$ fb${}^{-1}$, recorded by LHCb at a centre-of-mass energy of $7$ TeV in $2011$. Values of the $CP$ violation observables $x_{\pm }$ and $y_{\pm }$, which are sensitive to the CKM angle $\gamma$, are measured to be \begin{align*} x_- &= +0.027 \pm 0.044 ^{+0.010}_{-0.008} \pm 0.001, \\ y_- &= +0.013 \pm 0.048 ^{+0.009}_{-0.007} \pm 0.003, \\ x_+ &= -0.084 \pm 0.045 \pm 0.009 \pm 0.005, \\ y_+ &= -0.032 \pm 0.048 ^{+0.010}_{-0.009} \pm 0.008, \end{align*} where the first uncertainty is statistical, the second systematic and the third arises from the uncertainty of the $D\to K_S^0{\pi }^{+}{\pi }^{-}$ amplitude model. The value of $\gamma$ is determined to be $(84_{-42}^{+49}{)}^{\circ }$, including all sources of uncertainty. Neutral $D$ meson mixing is found to have negligible effect.

28 pages, 7 figures

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• Measurement of the D+/- production asymmetry in 7 TeV pp collisions
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• A model-independent Dalitz plot analysis of $B^{\pm }\to D{K}^{\pm }$ with $D\to K_{\mathrm{S}}^0{h}^{+}{h}^{-}$ ($h=\pi ,K$) decays and constraints on the CKM angle $\gamma$

Cited by in corpus (10)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Measurement of the CKM angle $\gamma$ from a combination of LHCb results
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• CP violation in the B system
• Direct CP violation in beauty and charm hadron decays
• Kaon and strangeonium spectrum in Regge phenomenology
• Dalitz plot studies of $D^0\to K_S^0{K}^{+}{K}^{-}$ decays in a factorization approach
• Origins of the method to determine the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$, $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ decays
• Toward extracting $\gamma$ from $B\to DK$ without binning
• CKM studies from b physics at hadron machines