Abstract

We report the most precise measurements to date of the strong-phase parameters between $D^0$ and $\bar{D}^0$ decays to $K^0_{S,L}\pi^+\pi^-$ using a sample of 2.93 fb$^{-1}$ of $e^+e^-$ annihilation data collected at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider. Our results provide the key inputs for a binned model-independent determination of the Cabibbo-Kobayashi-Maskawa angle $\gamma/\phi_3$ with $B$ decays. Using our results, the decay model sensitivity to the $\gamma/\phi_3$ measurement is expected to be between 0.7$^{\circ}$ and 1.2$^{\circ}$, approximately a factor of three smaller than that achievable with previous measurements. The improved precision of this work ensures that measurements of $\gamma/\phi_3$ will not be limited by knowledge of strong phases for the next decade. Furthermore, our results provide critical input for other flavor-physics investigations, including charm mixing, other measurements of $CP$ violation, and the measurement of strong-phase parameters for other $D$-decay modes.

Highlights

  • D 0 decays to K0S;Lπþπ− using a sample of 2.93 fb−1 of eþe− annihilation data collected at a center-of-mass energy

  • Our results provide the key inputs for a binned model-independent determination of the Cabibbo-Kobayashi-Maskawa angle γ

  • φ3 measurement is expected to be between 0.7°

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Summary

Published by the American Physical Society

We report the most precise measurements to date of the strong-phase parameters between D0 and D 0 decays to K0S;Lπþπ− using a sample of 2.93 fb−1 of eþe− annihilation data collected at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider. (Throughout this Letter, charge conjugation is assumed unless otherwise explicitly noted.) The model-independent approach [12] requires a binned Dalitz plot analysis of the amplitude-weighted average cosine and sine of the relative strong-phase (ΔδD) between D0 and D 0 → K0Sπþπ− to determine γ. These strong-phase parameters were first studied by the CLEO collaboration using 0.82 fb−1 of data [13,14].

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Modified optimal binning ci si ci si
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