Measurement of $D^0$-$\overline{D}{}^0$ Mixing and Search for Indirect $CP$ Violation Using $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ Decays

Abstract

We report a measurement of $D^0$-$\overline{D}{}^0$ mixing parameters and a search for indirect $CP$ violation through a time-dependent amplitude analysis of $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ decays. The results are based on 921~fb${}^{-1}$ of data accumulated with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. Assuming $CP$ conservation, we measure the mixing parameters $x=(0.56\pm 0.19_{-0.09}^{+0.03}{}_{-0.09}^{+0.06})\%$ and $y=(0.30\pm 0.15_{-0.05}^{+0.04}{}_{-0.06}^{+0.03})\%$, where the errors are statistical, experimental systematic, and systematic due to the amplitude model, respectively. With $CP$ violation allowed, the parameters $|q/p|=0.90_{-0.15}^{+0.16}{}_{-0.04}^{+0.05}{}_{-0.05}^{+0.06}$ and $\arg (q/p)=(-6\pm 11\pm 3{}_{-4}^{+3}{)}^{\circ }$ are found to be consistent with conservation of $CP$ symmetry in mixing and in the interference between mixing and decay, respectively.

arXiv commentsubmitted to PRD(RC)

References in corpus (15)

• New Physics and CP Violation in Singly Cabibbo Suppressed D Decays
• Evidence for D0-anti-D0 Mixing
• Implications of D^0-\bar D^0 Mixing for New Physics
• SU(3) Breaking and D0-D0bar Mixing
• Measurement of D0-D0bar mixing in D0->Ks pi+ pi- decays
• K-matrix analysis of the (IJ^{PC}=00^{++})-wave in the mass region below 1900 MeV
• 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^-
• How large can the SM contribution to CP violation in $D^0-{\bar{D}}^0$ mixing be?
• Measurement of D0-D0bar mixing parameters and search for CP violation using D0->K+pi- decays
• Search for D^0 - barD^0 Mixing in the Dalitz Plot Analysis of D^0 --> K_S^0 pi^+ pi^-
• Measurement of D0-D0bar Mixing and CP Violation in Two-Body D0 Decays
• Measurement of D0-D0bar mixing from a time-dependent amplitude analysis of D0 -> K+ pi- pi0 decays
• Charm mixing in the Standard Model and beyond
• Observation of D0-D0bar Mixing using the CDF II Detector

Cited by in corpus (32)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• 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
• Dalitz plot analysis of $B^0\to {\overline{D}}^0{\pi }^{+}{\pi }^{-}$ decays
• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• Measurement of the mass difference between neutral charm-meson eigenstates
• On $SU(3{)}_F$ Breaking through Final State Interactions and CP Asymmetries in $D\to PP$ Decays
• Observation of the mass difference between neutral charm-meson eigenstates
• Mixing and $CP$ violation in the charm system
• Measurement of indirect $CP$ asymmetries in $D^0\to K^{-}{K}^{+}$ and $D^0\to {\pi }^{-}{\pi }^{+}$ decays using semileptonic $B$ decays
• Dispersive and Absorptive CP Violation in $D^0-\overline{D^0}$ Mixing
• Measurement of the time-integrated $CP$ asymmetry in $D^0\to K^{-}{K}^{+}$ decays
• Novel method for measuring charm-mixing parameters using multibody decays
• Measurement of $\cos 2\beta$ in $B^0\to D^{(\ast )}{h}^0$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays by a combined time-dependent Dalitz plot analysis of BaBar and Belle data
• Search for time-dependent $CP$ violation in $D^0\to K^{+}{K}^{-}$ and $D^0\to {\pi }^{+}{\pi }^{-}$ decays
• Renormalisation scale setting for D-mixing
• Model-independent measurement of mixing parameters in $D^0\to K_S{\pi }^{+}{\pi }^{-}$ decays
• Measurement of the neutral $D$ meson mixing parameters in a time-dependent amplitude analysis of the $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay
• Strong isospin symmetry breaking in light scalar meson production
• Manifestations of the $a_0^0(980)-f_0(980)$ mixing in $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_S^0\eta {\pi }^0$ decays
• Measurement of the charm mixing parameter $y_{CP}-y_{CP}^{K\pi }$ using two-body $D^0$ meson decays
• First evidence for $\cos 2\beta >0$ and resolution of the CKM Unitarity Triangle ambiguity by a time-dependent Dalitz plot analysis of $B^0\to D^{(\ast )}{h}^0$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays
• Measuring $CP$ violation and mixing in charm with inclusive self-conjugate multibody decay modes
• Recent results on hot topics from Belle
• HFAG-charm averages
• A Review of $CP$ Violation Measurements in Charm at LHCb
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to {\Sigma }^{-}{K}^{+}{\pi }^{+}$
• Model-independent measurement of $D^0$-$\overline{D}{}^0$ mixing parameters in $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ decays at Belle and Belle II
• Measurement of the branching fraction and search for $CP$ violation in $D^0\to K_S^0{K}_S^0{\pi }^{+}{\pi }^{-}$ decays at Belle
• Measurement of the branching fraction and search for CP violation in $D^0\to K_S^0{K}_S^0{\pi }^{+}{\pi }^{-}$ decays at Belle
• Indirect constraints on New Physics from the B-factories
• CKM studies in the charm sector