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First observation of $D^0-\bar D^0$ oscillations in $D^0\to K^+\pi^-\pi^+\pi^-$ decays and measurement of the associated coherence parameters


LHCb Collaboration; Bernet, R; Müller, K; Steinkampf, O; Straumann, U; Vollhardt, A; et al (2016). First observation of $D^0-\bar D^0$ oscillations in $D^0\to K^+\pi^-\pi^+\pi^-$ decays and measurement of the associated coherence parameters. Physical Review Letters, 116:241801.

Abstract

Charm meson oscillations are observed in a time-dependent analysis of the ratio of $D^0\to K^+\pi^-\pi^+\pi^-$ to $D^0\to K^-\pi^+\pi^-\pi^+$ decay rates, using data corresponding to an integrated luminosity of $3.0\,{\rm fb}^{-1}$ recorded by the LHCb experiment. The measurements presented are sensitive to the phase-space averaged ratio of doubly Cabibbo-suppressed to Cabibbo-favoured amplitudes $r_{D}^{K3\pi}$ and the product of the coherence factor $R_{D}^{K3\pi}$ and a charm mixing parameter $y^{'}_{K3\pi}$. The constraints measured are $r_{D}^{K3\pi}=(5.67 \pm 0.12)\times10^{-2}$, which is the most precise determination to date, and $R_{D}^{K3\pi} \cdot y^{'}_{K3\pi} = (0.3 \pm 1.8)\times 10^{-3}$, which provides useful input for determinations of the CP-violating phase $\gamma$ in $B^\pm \to D K^\pm, D \to K^\mp\pi^\pm\pi^\mp\pi^\pm$ decays. The analysis also gives the most precise measurement of the $D^0\to K^+\pi^-\pi^+\pi^-$ branching fraction, and the first observation of $D^0-\bar D^0$ oscillations in this decay mode, with a significance of 8.2 standard deviations.

Abstract

Charm meson oscillations are observed in a time-dependent analysis of the ratio of $D^0\to K^+\pi^-\pi^+\pi^-$ to $D^0\to K^-\pi^+\pi^-\pi^+$ decay rates, using data corresponding to an integrated luminosity of $3.0\,{\rm fb}^{-1}$ recorded by the LHCb experiment. The measurements presented are sensitive to the phase-space averaged ratio of doubly Cabibbo-suppressed to Cabibbo-favoured amplitudes $r_{D}^{K3\pi}$ and the product of the coherence factor $R_{D}^{K3\pi}$ and a charm mixing parameter $y^{'}_{K3\pi}$. The constraints measured are $r_{D}^{K3\pi}=(5.67 \pm 0.12)\times10^{-2}$, which is the most precise determination to date, and $R_{D}^{K3\pi} \cdot y^{'}_{K3\pi} = (0.3 \pm 1.8)\times 10^{-3}$, which provides useful input for determinations of the CP-violating phase $\gamma$ in $B^\pm \to D K^\pm, D \to K^\mp\pi^\pm\pi^\mp\pi^\pm$ decays. The analysis also gives the most precise measurement of the $D^0\to K^+\pi^-\pi^+\pi^-$ branching fraction, and the first observation of $D^0-\bar D^0$ oscillations in this decay mode, with a significance of 8.2 standard deviations.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2016
Deposited On:27 Dec 2016 09:42
Last Modified:01 Jan 2017 06:34
Publisher:American Physical Society
ISSN:0031-9007
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1103/PhysRevLett.116.241801

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