Model-independent determination of the strong-phase difference between D 0 and D ¯ 0 → π + π − π + π − decays

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doi:10.1103/PhysRevD.110.112008

Title: Model-independent determination of the strong-phase difference between $D^{0}$ and ${\bar{D}}^{0} \to π^{+} π^{-} π^{+} π^{-}$ decays

Journal Article · 06 December 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.112008 · OSTI ID:2480392

Ablikim, M.; Achasov, M. N.; Adlarson, P.; Afedulidis, O.; Ai, X. C.; Aliberti, R.; Amoroso, A.; An, Q.; Bai, Y.; Bakina, O.; Balossino, I.; Ban, Y.; Bao, H. -R.; Batozskaya, V.; Begzsuren, K.; Berger, N.; Berlowski, M.; Bertani, M.; Bettoni, D.; Bianchi, F. more »

Measurements of the strong-phase difference between $D^{0}$ and ${\bar{D}}^{0} \to π^{+} π^{-} π^{+} π^{-}$ are performed in bins of phase space. The study exploits a sample of quantum-correlated $D \bar{D}$ mesons collected by the BESIII experiment in $e^{+} e^{-}$ collisions at a center-of-mass energy of 3.773 GeV, corresponding to an integrated luminosity of $2.93 {fb}^{- 1}$ . Here, $D$ denotes a neutral charm meson in a superposition of flavor eigenstates. The reported results are valuable for measurements of the $C P$ -violating phase $γ$ (also denoted $ϕ_{3}$ ) in $B^{\pm} \to D K^{\pm}$ , $D \to π^{+} π^{-} π^{+} π^{-}$ decays, and the binning schemes are designed to provide good statistical sensitivity to this parameter. The expected uncertainty on $γ$ arising from the precision of the strong-phase measurements, when applied to very large samples of $B$ -meson decays, is around 1.5° or 2°, depending on the binning scheme. The binned strong-phase parameters are combined to give a value of $F_{+}^{4 π} = 0.746 \pm 0.010 \pm 0.004$ for the $C P$ -even fraction of $D^{0} \to π^{+} π^{-} π^{+} π^{-}$ decays, which is around 30% more precise than the previous best measurement of this quantity. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER41374

OSTI ID:: 2480392

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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