The ${{\mathit D}_{{1}}^{0}}$ and ${{\mathit D}_{{2}}^{0}}$ are the mass eigenstates of the ${{\mathit D}^{0}}$ meson, as described in the note on “${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing,' above. The experiments usually present $x$ ${}\equiv$ $\Delta \mathit m/\Gamma $. Then $\Delta \mathit m$ = $x$ $\Gamma $ = $x$ $\hbar{}/\tau $.

“OUR EVALUATION” comes from CPV allowing averages provided by the Heavy Flavor Averaging Group, see the note on “${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing.''

VALUE ($ 10^{10} $ $\hbar{}$ s${}^{-1}$) CL% DOCUMENT ID TECN  COMMENT $\bf{ 0.997 \pm0.116}$ OUR EVALUATION $\bf{ 0.92 \pm0.12}$ OUR AVERAGE $0.97$ ${}^{+0.14}_{-0.13}$ 1 AAIJ 2021 AB LHCB ${{\mathit p}}{{\mathit p}}$ at 13 TeV, ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $0.66$ ${}^{+0.41}_{-0.37}$ 2 AAIJ 2019 X LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV, ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ 3 AAIJ 2018 K LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV $-2.10$ $\pm1.29$ $\pm0.41$ 4 AAIJ 2016 V LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV $3.7$ $\pm2.9$ $\pm1.5$ 5 LEES 2016 D BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , 10.6 GeV 6 KO 2014 BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(nS)}}$ $1.37$ $\pm0.46$ ${}^{+0.18}_{-0.28}$ 7 PENG 2014 BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(nS)}}$ 8 AALTONEN 2013 AE CDF ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV $0.39$ $\pm0.56$ $\pm0.35$ 9 DEL-AMO-SANCH.. 2010 D BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , 10.6 GeV • • We do not use the following data for averages, fits, limits, etc. • • 10 AAIJ 2017 AO LHCB Repl. by AAIJ 2018K 11 AAIJ 2013 CE LHCB Repl. by AAIJ 2017AO 12 AAIJ 2013 N LHCB Repl. by AAIJ 2013CE $6.4$ ${}^{+1.4}_{-1.7}$ $\pm1.0$ 13 AUBERT 2009 AN BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at 10.58 GeV $-2$ ${}^{+7}_{-6}$ 14 LOWREY 2009 CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ at ${{\mathit \psi}{(3770)}}$ $1.98$ $\pm0.73$ ${}^{+0.32}_{-0.41}$ 15 ZHANG 2007 B BELL Repl. by PENG 2014 $<7$ 95 16 ZHANG 2006 BELL ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $-11\text{ to }+22 $ 15 ASNER 2005 CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}$ 10 GeV $<11$ 90 BITENC 2005 BELL $<30$ 90 CAWLFIELD 2005 CLEO $<7$ 95 16 LI 2005 A BELL See ZHANG 2006 $<22$ 95 17 LINK 2005 H FOCS ${{\mathit \gamma}}$ nucleus $<23$ 95 AUBERT 2004 Q BABR $<11$ 95 16 AUBERT 2003 Z BABR ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , 10.6~GeV $<7$ 95 18 GODANG 2000 CLE2 ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $<32$ 90 19, 20 AITALA 1998 E791 ${{\mathit \pi}^{-}}$ nucleus, 500 GeV $<24$ 90 21 AITALA 1996 C E791 ${{\mathit \pi}^{-}}$ nucleus, 500 GeV $<21$ 90 20, 22 ANJOS 1988 C E691 Photoproduction 1  AAIJ 2021AB measurement allows for $\mathit CP$ violation (none seen). 2  AAIJ 2019X ${{\mathit D}^{0}}$ come from ${{\mathit D}^{*+}}$ and ${{\overline{\mathit B}}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit \mu}^{-}}{{\mathit X}}$ decays (and c.c.). Measurement allows for $\mathit CP$ violation (none seen). 3  The result was established with ${{\mathit D}^{0}}$ from prompt and secondary ${{\mathit D}^{*}}$. Based on 5 fb${}^{-1}$ of data collected at $\sqrt {s }$ = 7, 8, 13 TeV. Assumes no $\mathit CP$ violation. Reported ${{\mathit x}^{'2}}$ = ($3.9$ $\pm2.7$) $ \times 10^{-5}$ and ${{\mathit y}^{\,'}}$ = ($5.28$ $\pm0.52$) $ \times 10^{-3}$, where ${{\mathit x}^{\,'}}$ = ${{\mathit x}}$ cos($\delta $) + ${{\mathit y}}$ sin($\delta $), ${{\mathit y}^{\,'}}$ = ${{\mathit y}}$ 4  Model-independent measurement of the charm mixing parameters in the decay ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ using 1.0 ${\mathrm {fb}}{}^{-1}$ of LHCb data at $\sqrt {s }$ = 7 TeV. 5  Time-dependent amplitude analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ . 6  Based on 976 fb${}^{-1}$ of data collected at ${{\mathit Y}{(nS)}}$ resonances. Assumes no $\mathit CP$ violation. Reported ${{\mathit x}^{'2}}$ = ($0.09$ $\pm0.22$) $ \times 10^{-3}$ and ${{\mathit y}^{\,'}}$ = ($4.6$ $\pm3.4$) $ \times 10^{-3}$, where ${{\mathit x}^{\,'}}$ = x$~$cos($\delta $) + y$~$sin($\delta $), ${{\mathit y}^{\,'}}$ = y$~$cos($\delta $) $−$ x$~$sin($\delta $) and $\delta $ is the strong phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ . 7  The time-dependent Dalitz-plot analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ is emplored. Decay-time information and interference on the Dalitz plot are used to distinguish doubly Cabibbo-suppressed decays from mixing and to measure the relative phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{*+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{*+}}{{\mathit \pi}^{-}}$ . This value allows $\mathit CP$ violation and is sensitive to the sign of $\Delta \mathit m$. 8  Based on 9.6 fb${}^{-1}$ of data collected at the Tevatron. Assumes no $\mathit CP$ violation. Reported ${{\mathit x}^{'2}}$ = ($0.08$ $\pm0.18$) $ \times 10^{-3}$ and ${{\mathit y}^{\,'}}$ = ($4.3$ $\pm4.3$) $ \times 10^{-3}$, where ${{\mathit x}^{\,'}}$ = ${{\mathit x}}$ cos($\delta $) + ${{\mathit y}}$ sin($\delta $), ${{\mathit y}^{\,'}}$ = ${{\mathit y}}$ cos($\delta $) $−$ ${{\mathit x}}$ sin($\delta $) and $\delta $ is the strong phase between the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ . 9  DEL-AMO-SANCHEZ 2010D uses 540,800$\pm800$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ and 79,900$\pm300$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ events in a time-dependent amplitude analysis of the ${{\mathit D}^{0}}$ and ${{\overline{\mathit D}}^{0}}$ Dalitz plots. No evidence was found for $\mathit CP$ violation, and the values here assume no such violation. 10  The result was established with ${{\mathit D}^{0}}$ from prompt and secondary ${{\mathit D}^{*}}$. Based on 3 fb${}^{-1}$ of data collected at $\sqrt {s }$ = 7, 8 TeV. Assumes no $\mathit CP$ violation. Reported ${{\mathit x}^{'2}}$ = ($3.6$ $\pm4.3$) $ \times 10^{-5}$ and ${{\mathit y}^{\,'}}$ = ($5.23$ $\pm0.84$) $ \times 10^{-3}$, where ${{\mathit x}^{\,'}}$ = ${{\mathit x}}$ cos($\delta $) + ${{\mathit y}}$ sin($\delta $), ${{\mathit y}^{\,'}}$ = ${{\mathit y}}$ cos($\delta $) $−$ ${{\mathit x}}$ sin($\delta $) and $\delta $ is the strong phase between the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ . 11  Based on 3 fb${}^{-1}$ of data collected at $\sqrt {s }$ = 7, 8 TeV. Assumes no $\mathit CP$ violation. Reported ${{\mathit x}^{'2}}$ = ($5.5$ $\pm4.9$) $ \times 10^{-4}$ and ${{\mathit y}^{\,'}}$ = ($4.8$ $\pm1.0$) $ \times 10^{-3}$, where ${{\mathit x}^{\,'}}$ = ${{\mathit x}}$ cos($\delta $) + ${{\mathit y}}$ sin($\delta $), ${{\mathit y}^{\,'}}$ = ${{\mathit y}}$ cos($\delta $) $−$ ${{\mathit x}}$ sin($\delta $) and $\delta $ is the strong phase between the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ . 12  Based on 1 fb${}^{-1}$ of data collected at $\sqrt {s }$ = 7 TeV in 2011. Assumes no $\mathit CP$ violation. Reported ${{\mathit x}^{'2}}$ = ($-0.9$ $\pm1.3$) $ \times 10^{-4}$ and ${{\mathit y}^{\,'}}$ = ($7.2$ $\pm2.4$) $ \times 10^{-3}$, where ${{\mathit x}^{\,'}}$ = ${{\mathit x}}$ cos($\delta $) + ${{\mathit y}}$ sin($\delta $), ${{\mathit y}^{\,'}}$ = ${{\mathit y}}$ cos($\delta $) $−$ ${{\mathit x}}$ sin($\delta $) and $\delta $ is the strong phase between the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ . 13  The AUBERT 2009AN values are inferred from the branching ratio $\Gamma($ ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ via ${{\overline{\mathit D}}^{0}})/\Gamma($ ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ $)$ given near the end of this Listings. Mixing is distinguished from DCS decays using decay-time information. Interference between mixing and DCS is allowed. The phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ is assumed to be small. The width difference here is ${{\mathit y}^{''}}$, which is not the same as ${{\mathit y}_{{CP}}}$ in the note on ${{\mathit D}^{0}}--{{\overline{\mathit D}}^{0}}$ mixing. 14  LOWREY 2009 uses quantum correlations in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ at the ${{\mathit \psi}{(3770)}}$. See below for coherence factors and average relative strong phases for both ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{+}}$ . A fit that includes external measurements of charm mixing parameters gets $\Delta \mathit m$ = ($23.4$ $\pm6.1$) $ \times 10^{9}$ $\hbar{}~$s${}^{-1}$. 15  The ASNER 2005 and ZHANG 2007B values are from the time-dependent Dalitz-plot analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ . Decay-time information and interference on the Dalitz plot are used to distinguish doubly Cabibbo-suppressed decays from mixing and to measure the relative phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{*+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{*+}}{{\mathit \pi}^{-}}$ . This value allows $\mathit CP$ violation and is sensitive to the sign of $\Delta \mathit m$. 16  The AUBERT 2003Z, LI 2005A, and ZHANG 2006 limits are inferred from the ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing ratio $\Gamma\mathrm {( {{\mathit K}^{+}} {{\mathit \pi}^{-}} (via {{\overline{\mathit D}}^{0}}))}/\Gamma\mathrm {( {{\mathit K}^{-}} {{\mathit \pi}^{+}} )}$ given near the end of this ${{\mathit D}^{0}}$ Listings. Decay-time information is used to distinguish DCS decays from ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing. The limit allows interference between the DCS and mixing ratios, and also allows $\mathit CP$ violation. AUBERT 2003Z assumes the strong phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ amplitudes is small; if an arbitrary phase is allowed, the limit degrades by 20$\%$. The LI 2005A and ZHANG 2006 limits are valid for an arbitrary strong phase. 17  This LINK 2005H limit is inferred from the ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing ratio $\Gamma\mathrm {( {{\mathit K}^{+}} {{\mathit \pi}^{-}} (via {{\overline{\mathit D}}^{0}}))}/\Gamma\mathrm {( {{\mathit K}^{-}} {{\mathit \pi}^{+}} )}$ given near the end of this ${{\mathit D}^{0}}$ Listings. Decay-time information is used to distinguish DCS decays from ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing. The limit allows interference between the DCS and mixing ratios, and also allows $\mathit CP$ violation. The strong phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ is assumed to be small. If an arbitrary relative strong phase is allowed, the limit degrades by 25$\%$. 18  This GODANG 2000 limit is inferred from the ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing ratio $\Gamma\mathrm {( {{\mathit K}^{+}} {{\mathit \pi}^{-}} (via {{\overline{\mathit D}}^{0}}))}/\Gamma\mathrm {( {{\mathit K}^{-}} {{\mathit \pi}^{+}} )}$ given near the end of this ${{\mathit D}^{0}}$ Listings. Decay-time information is used to distinguish DCS decays from ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing. The limit allows interference between the DCS and mixing ratios, and also allows $\mathit CP$ violation. The strong phase between ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and ${{\overline{\mathit D}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ is assumed to be small. If an arbitrary relative strong phase is allowed, the limit degrades by a factor of two. 19  AITALA 1998 allows interference between the doubly Cabibbo-suppressed and mixing amplitudes, and also allows $\mathit CP$ violation in this term, but assumes that $\mathit A_{{{\mathit D}}}=\mathit A_{\mathit R}$=0. See the note on ``${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing,'' above. 20  This limit is inferred from $\mathit R_{\mathit M}$ for $\mathit f$ = ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and $\mathit f$ = ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ . See the note on ``${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing,'' above. Decay-time information is used to distinguish doubly Cabibbo-suppressed decays from ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ mixing. 21  This limit is inferred from $\mathit R_{\mathit M}$ for $\mathit f$ = ${{\mathit K}^{+}}{{\mathit \ell}^{-}}{{\overline{\mathit \nu}}_{{{{\mathit \ell}}}}}$ . See the note on ``${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing,'' above. 22  ANJOS 1988C assumes that $\mathit y$ = 0. See the note on ``${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing,'' above. Without this assumption, the limit degrades by about a factor of two.

Conservation Laws:

$\Delta \mathit C$ = 2 VIA MIXING

References:

AAIJ 2021AB PRL 127 111801 Observation of the Mass Difference Between Neutral Charm-Meson Eigenstates AAIJ 2019X PRL 122 231802 Measurement of the mass difference between neutral charm-meson eigenstates AAIJ 2018K PR D97 031101 Updated determination of $D^0$-$\overline{D}{}^0$ mixing and CP violation parameters with $D^0\to K^+\pi^-$ decays AAIJ 2017AO PR D95 052004 Measurements of Charm Mixing and $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{\pm}}{{\mathit \pi}^{\mp}}$ Decays Also PR D96 099907 (errat.) Erratum to AAIJ 2017AO: Measurements of Charm Mixing and $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{\pm}}{{\mathit \pi}^{\mp}}$ Decays AAIJ 2016V JHEP 1604 033 Model-independent Measurement of Mixing Parameters in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays LEES 2016D PR D93 112014 Measurement of the Neutral ${{\mathit D}}$ Meson Mixing Parameters in a Time-Dependent Amplitude Analysis of the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ Decay KO 2014 PRL 112 111801 Observation of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions PENG 2014 PR D89 091103 Measurement of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing and Search for Indirect $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays AAIJ 2013N PRL 110 101802 Observation of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Oscillations AAIJ 2013CE PRL 111 251801 Measurement of ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing Parameters and Search for $\mathit CP$ Violation using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays AALTONEN 2013AE PRL 111 231802 Observation of ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing Using the CDFII Detector DEL-AMO-SANCHEZ 2010D PRL 105 081803 Measurement of ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing Parameters using ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ Decays AUBERT 2009AN PRL 103 211801 Measurement of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing from a Time-Dependent Amplitude Analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ Decays LOWREY 2009 PR D80 031105 Determination of the ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ and ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Coherence Factors and Average Strong-Phase Differences using Quantum-Correlated Measurements ZHANG 2007B PRL 99 131803 Measurement of ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing Parameters in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays ZHANG 2006 PRL 96 151801 Improved Constraints on ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays from the Belle Detector ASNER 2005 PR D72 012001 Search for ${{\mathit D}^{0}}−{{\overline{\mathit D}}^{0}}$ Mixing in the Dalitz Plot Analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ BITENC 2005 PR D72 071101 Search for ${{\mathit D}^{0}}-{{\overline{\mathit D}}^{0}}$ Mixing using Semileptonic Decays at Belle CAWLFIELD 2005 PR D71 077101 Limits on Neutral ${{\mathit D}}$ Mixing in Semileptonic Decays LI 2005A PRL 94 071801 Search for ${{\mathit D}^{0}}\leftrightarrow{{\overline{\mathit D}}^{0}}$ Mixing in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ Decays and Measurement of the Doubly-Cabibbo-Suppressed Decay Rate LINK 2005H PL B618 23 Measurement of the Doubly Cabibbo Suppressed Decay ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$ and a Search for Charm Mixing AUBERT 2004Q PR D69 051101 Measurement of the Branching Fraction for ${{\mathit B}^{-}}$ $\rightarrow$ ${{\mathit D}^{0}}{{\mathit K}^{*-}}$ AUBERT 2003Z PRL 91 171801 Search for ${{\mathit D}^{0}}\leftrightarrow{{\overline{\mathit D}}^{0}}$ Nixing and a Measurement of the Doubly Cabibbo Suppressed Decay Rate in ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}}{{\mathit \pi}}$ Decays GODANG 2000 PRL 84 5038 Search for ${{\mathit D}^{0}}$ $\leftrightarrow$ ${{\overline{\mathit D}}^{0}}$ Mixing AITALA 1998 PR D57 13 A Search for ${{\mathit D}^{0}}$ $\leftrightarrow$ ${{\overline{\mathit D}}^{0}}$ Mixing and Doubly Cabibbo Suppressed Decays of the ${{\mathit D}^{0}}$ in Hadronic Final States AITALA 1996C PRL 77 2384 Search for ${{\mathit D}^{0}}{{\overline{\mathit D}}^{0}}$ Mixing in Semileptonic Decay Modes ANJOS 1988C PRL 60 1239 Study of ${{\mathit D}^{0}}$ $−$ ${{\overline{\mathit D}}^{0}}$ Mixing