Novel method for measuring charm-mixing parameters using multibody decays

Abstract

We propose a novel method to measure flavor-oscillations and charge-parity (CP) violation in charm mixing. The approach uses multibody charm decays, such as $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$, and avoids the need for a fit of the decay amplitudes while suppressing biases due to nonuniform signal-reconstruction efficiencies as functions of phase space and decay time. Data are partitioned in decay-time and Dalitz-plot regions (bins). The Dalitz-plot bins are symmetric with respect to the principal bisector and chosen to ensure nearly constant values of the strong-interaction phases in each. The ratios of signal yields observed in each symmetric bin pair are fit as functions of decay time, using independent auxiliary measurements of the strong-interaction phases as constraints, to determine the relevant physics parameters. Simulation shows that this approach improves the sensitivity to the normalized charm-eigenstate mass difference by 35% with respect to existing model-independent methods. In addition, we introduce a parametrization of oscillation and CP-violation effects in charm mixing that has attractive statistical properties and may find wider applicability.

References in corpus (18)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Determining $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with multibody D decays
• Observation of Bs-Bsbar Oscillations
• Evidence for D0-anti-D0 Mixing
• Model-independent determination of the strong-phase difference between D^0 and D^0-bar-> K^0_S,L h^+ h^- (h=pi,K) and its impact on the measurement of the CKM angle gamma/phi_3
• Measurement of D0-antiD0 mixing parameters using D0 -> K0S pi+ pi- and D0 -> KS0 K+ K- decays
• Improved measurement of the CKM angle gamma in B^-+ -> D^(*) K^(*)-+ decays with a Dalitz plot analysis of D decays to K_S^0 pi^+ pi^- and K_S^0 K^+ K^-
• Feasibility study of model-independent approach to phi_3 measurement using Dalitz plot analysis
• Observation of D0-D0bar oscillations
• The use of quantum-correlated D^0 decays for phi3 measurement
• Search for D^0 - barD^0 Mixing in the Dalitz Plot Analysis of D^0 --> K_S^0 pi^+ pi^-
• Charm mixing in the model-independent analysis of correlated D0-D0bar decays
• Measurement of $D^0$-$\overline{D}{}^0$ Mixing and Search for Indirect $CP$ Violation Using $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ Decays
• Contributions to the width difference in the neutral $D$ system from hadronic decays
• Model-independent $D^0-\overline{D^0}$ mixing and CP violation studies with $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_{\mathrm{S}}^0{K}^{+}{K}^{-}$
• Quantum-correlated measurements of $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0$ decays and consequences for the determination of the CKM angle $\gamma$
• Model-independent measurement of mixing parameters in $D^0\to K_S{\pi }^{+}{\pi }^{-}$ decays
• Effect of direct CP violation in charm on gamma extraction from B->DK, D->K0Spi+pi- Dalitz plot analysis

Cited by in corpus (15)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Measurement of the mass difference between neutral charm-meson eigenstates
• Model-independent determination of the relative strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$ and its impact on the measurement of the CKM angle $\gamma /{\varphi }_3$
• Observation of the mass difference between neutral charm-meson eigenstates
• Mixing and $CP$ violation in the charm system
• Determination of strong-phase parameters in $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$
• Dispersive and Absorptive CP Violation in $D^0-\overline{D^0}$ Mixing
• Charm mixing and CPV
• Model-independent measurement of charm mixing parameters in $\bar{B}\to D^0(\to K_S^0{\pi }^{+}{\pi }^{-}){\mu }^{-}{\bar{\nu }}_{\mu }X$ decays
• Recent advances in charm mixing and $CP$ violation at LHCb
• 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
• A Review of $CP$ Violation Measurements in Charm at LHCb
• Combined analysis of Belle and Belle II data to determine the CKM angle ${\varphi }_3$ using $B^{+}\to D(K_S^0{h}^{-}{h}^{+})h^{+}$ decays
• Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space