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Measurement of the $Dto K^-pi^+$ strong phase difference in $psi(3770)to D^0overline{D}{}^0$

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 Added by Xiao-Rui Lyu
 Publication date 2014
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and research's language is English




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We study $D^0overline{D}{}^0$ pairs produced in $e^+e^-$ collisions at $sqrt{s}=3.773$ GeV using a data sample of 2.92 fb$^{-1}$ collected with the BESIII detector. We measure the asymmetry $mathcal{A}^{CP}_{Kpi}$ of the branching fractions of $D to K^-pi^+$ in $CP$-odd and $CP$-even eigenstates to be $(12.7pm1.3pm0.7)times10^{-2}$. $mathcal{A}^{CP}_{Kpi}$ can be used to extract the strong phase difference $delta_{Kpi}$ between the doubly Cabibbo-suppressed process $overline{D}{}^{0}to K^-pi^+$ and the Cabibbo-favored process $D^0to K^- pi^+$. Using world-average values of external parameters, we obtain $cosdelta_{Kpi} = 1.02pm0.11pm0.06pm0.01$. Here, the first and second uncertainties are statistical and systematic, respectively, while the third uncertainty arises from the external parameters. This is the most precise measurement of $delta_{Kpi}$ to date.



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The charm quark offers interesting opportunities to cross-check the mechanism of CP violation precisely tested in the strange and beauty sectors. In this paper, we exploit the angular and quantum correlations in the Dbar{D} pairs produced through the decay of the psi(3770) resonance in a charm factory to investigate CP-violation in two different ways. We build CP-violating observables in psi(3770) -> Dbar{D} -> (V_1V_2)(V_3 V_4) to isolate specific New Physics effects in the charm sector. We also consider the case of psi(3770) -> Dbar{D} -> (V_1V_2)(Kpi) decays, which provide a new way to measure the strong phase difference delta between Cabibbo-favored and doubly-Cabibbo suppressed D decays required in the determination of the CKM angle gamma. Neglecting the systematics, we give a first rough estimate of the sensitivities of these measurements at BES-III with an integrated luminosity of 20 fb^-1 at psi(3770) peak and at a future Super tau-charm factory with a luminosity of 10^35 cm^-2.s^-1.
The decays $Dto K^-pi^+pi^+pi^-$ and $D to K^-pi^+pi^0$ are studied in a sample of quantum-correlated $Dbar{D}$ pairs produced through the process $e^+e^- to psi(3770) to Dbar{D}$, exploiting a data set collected by the BESIII experiment that corresponds to an integrated luminosity of 2.93 fb$^{-1}$. Here $D$ indicates a quantum superposition of a $D^0$ and a $bar{D}^0$ meson. By reconstructing one neutral charm meson in a signal decay, and the other in the same or a different final state, observables are measured that contain information on the coherence factors and average strong-phase differences of each of the signal modes. These parameters are critical inputs in the measurement of the angle $gamma$ of the Unitarity Triangle in $B^- to DK^-$ decays at the LHCb and Belle II experiments. The coherence factors are determined to be $R_{K3pi}=0.52^{+0.12}_{-0.10}$ and $R_{Kpipi^0}=0.78 pm 0.04$, with values for the average strong-phase differences that are $delta_D^{K3pi}=left(167^{+31}_{-19}right)^circ$ and $delta_D^{Kpipi^0}=left(196^{+14}_{-15}right)^circ$, where the uncertainties include both statistical and systematic contributions. The analysis is re-performed in four bins of the phase-space of the $D to K^-pi^+pi^+pi^-$ to yield results that will allow for a more sensitive measurement of $gamma$ with this mode, to which the BESIII inputs will contribute an uncertainty of around 6$^circ$.
A search for CP violation in $D^0 rightarrow K^{-} K^{+} $ and $D^0 rightarrow pi^{-} pi^{+} $ decays is performed using $pp$ collision data, corresponding to an integrated luminosity of $3~fb^{-1}$, collected using the LHCb detector at centre-of-mass energies of 7 and $8~$TeV. The flavour of the charm meson is inferred from the charge of the pion in $D^{*+}rightarrow D^0pi^+$ and $D^{*-}rightarrow bar{D^0}pi^{-}$ decays. The difference between the CP asymmetries in $D^0 rightarrow K^{-} K^{+} $ and $D^0 rightarrow pi^{-} pi^{+} $ decays, $Delta A_{CP} equiv A_{CP}(K^{-} K^{+}) - A_{CP}(pi^{-} pi^{+})$, is measured to be $left( -0.10 pm 0.08(stat) pm 0.03(syst) right) %$. This is the most precise measurement of a time-integrated CP asymmetry in the charm sector from a single experiment.
We present an observation and rate measurement of the decay D0 -> K+pi-pi0 produced in 9/fb of e+e- collisions near the Upsilon(4S) resonance. The signal is inconsistent with an upward fluctuation of the background by 4.9 standard deviations. We measured the rate of D0 -> K+pi-pi0 normalized to the rate of D0bar -> K+pi-pi0 to be 0.0043 +0.0011 -0.0010 (stat) +/- 0.0007 (syst). This decay can be produced by doubly-Cabibbo-suppressed decays or by the D0 evolving into a D0bar through mixing, followed by a Cabibbo-favored decay to K+pi-pi0. We also found the CP asymmetry A=(8 +25 -22)% to be consistent with zero.
Asymmetries in the time-dependent rates of $D^0 to K^+K^-$ and $D^0 to pi^+pi^-$ decays are measured in a $pp$ collision data sample collected with the LHCb detector during LHC Run 1, corresponding to an integrated luminosity of $3,mathrm{fb}^{-1}$. The asymmetries in effective decay widths between $D^0$ and $overline{D}^0$ decays, sensitive to indirect $CP$ violation, are measured to be $A_Gamma(K^+ K^-) = (-0.30 pm 0.32 pm 0.10)times 10^{-3}$ and $A_Gamma(pi^+pi^-) = (0.46 pm 0.58 pm 0.12)times 10^{-3}$, where the first uncertainty is statistical and the second systematic. These measurements show no evidence for $C!P$ violation and improve on the precision of the previous best measurements by nearly a factor of two.
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