Studies of the resonance structure in $D^0\to K^{\mp }{\pi }^{\pm }{\pi }^{\pm }{\pi }^{\mp }$ decays

Abstract

Amplitude models are constructed to describe the resonance structure of $D^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ and $D^0\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$ decays using $pp$ collision data collected at centre-of-mass energies of 7 and 8 TeV with the LHCb experiment, corresponding to an integrated luminosity of $3.0{\mathrm{fb}}^{-1}$. The largest contributions to both decay amplitudes are found to come from axial resonances, with decay modes $D^0\to a_1(1260{)}^{+}{K}^{-}$ and $D^0\to K_1(1270/1400{)}^{+}{\pi }^{-}$ being prominent in $D^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ and $D^0\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$, respectively. Precise measurements of the lineshape parameters and couplings of the $a_1(1260{)}^{+}$, $K_1(1270{)}^{-}$ and $K(1460{)}^{-}$ resonances are made, and a quasi model-independent study of the $K(1460{)}^{-}$ resonance is performed. The coherence factor of the decays is calculated from the amplitude models to be $R_{K3\pi }=0.459\pm 0.010(\mathrm{stat})\pm 0.012(\mathrm{syst})\pm 0.020(\mathrm{model})$, which is consistent with direct measurements. These models will be useful in future measurements of the unitary-triangle angle $\gamma$ and studies of charm mixing and $CP$ violation.

arXiv commentAll figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2017-040.html

References in corpus (18)

• A Brief Introduction to PYTHIA 8.1
• Big-Bang Nucleosynthesis
• LHCb Detector Performance
• The LHCb Trigger and its Performance in 2011
• Boosted Decision Trees as an Alternative to Artificial Neural Networks for Particle Identification
• Enhanced CP Violation with $B\to K{D}^0({\overline{D}}^0)$ Modes and Extraction of the CKM Angle gamma
• Efficient, reliable and fast high-level triggering using a bonsai boosted decision tree
• Improved Methods for Observing CP Violation in B+/- --> K+/- D0 and Measuring the CKM Phase gamma
• K-matrix analysis of the (IJ^{PC}=00^{++})-wave in the mass region below 1900 MeV
• Improved measurement of the CKM angle gamma in B^-+ -> D^(*) K^(*)-+ decays with a Dalitz plot analysis of D decays to K_S^0 pi^+ pi^- and K_S^0 K^+ K^-
• Model Independent Measurement of \swave $K^{-}{\pi }^{+}$ systems using $\Dp\to Kππ$ Decays from Fermilab E791
• Role of Charm Factory in Extracting CKM-Phase Information via B --> DK
• Dalitz plot analysis of the D+ to K-pi+pi+ decay in the FOCUS experiment
• Measurement of $CP$ observables in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$ with two- and four-body $D$ decays
• Amplitude Analyses of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ Decays
• 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
• Charm Physics - Like Botticelli in the Sistine Chapel
• Covariant tensor formalism for partial wave analyses of psi decay to mesons

Cited by in corpus (15)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Measurement of ${\Xi }_{cc}^{++}$ production in $pp$ collisions at $\sqrt{s}=13$ TeV
• Improved sensitivity to the CKM phase $\gamma$ through binning phase space in $B^{-}\to D{K}^{-}$, $D\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$ decays
• Three-body model for $K(1460)$ resonance
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• Partial decay widths of $\varphi (2170)$ to kaonic resonances
• Amplitude analysis and branching fraction measurement of $D_s^{+}\to K^{-}{K}^{+}{\pi }^{+}{\pi }^0$
• The charge and mass symmetry breaking in the $KK\bar{K}$ system
• Molecular nature of the $a_1$(1260) axial-vector meson
• Superfactory of bottomed hadrons Belle II
• Recent advances in charm mixing and $CP$ violation at LHCb
• First Measurement of the Decay Dynamics in the Semileptonic Transition of the $D^{+(0)}$ into the Axial-vector Meson ${\bar{K}}_1(1270)$
• Amplitude analysis of $D^{+}\to K_S^0{\pi }^{+}{\pi }^{+}{\pi }^{-}$
• Charge asymmetry in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0\gamma$