Decay Chain Fitting with a Kalman Filter

Abstract

We present a method to perform a least squares fit of a decay chain involving multiple decay vertices. Our technique allows for the simultaneous extraction of decay time, position and momentum parameters and their uncertainties and correlations for all particles in a decay chain.

17 pages, 3 figures, submitted to NIM-A

References in corpus (1)

• Pattern Recognition and Event Reconstruction in Particle Physics Experiments

Cited by in corpus (296)

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• Observation of $B_c^{+}\to D^0{K}^{+}$ decays
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• Measurement of ${\Xi }_{cc}^{++}$ production in $pp$ collisions at $\sqrt{s}=13$ TeV
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• Observation of the decay $B_s^0\to {\eta }_c\varphi$ and evidence for $B_s^0\to {\eta }_c{\pi }^{+}{\pi }^{-}$
• Measurement of $CP$ observables in $B^{\pm }\to D{K}^{\ast \pm }$ decays using two- and four-body $D$ final states
• Study of B0 -> D*- pi+ pi- pi+ and B0 -> D*- K+ pi- pi+ decays
• Observation of the decay ${\Lambda }_b^0\to \psi (2S)p{\pi }^{-}$
• Observation of the ${\Lambda }_b^0\to {\chi }_{c1}(3872)p{K}^{-}$ decay
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• Probing the nature of the ${\chi }_{c1}(3872)$ state using radiative decays
• Measurement of $CP$ violation in $B^0\to D^{\mp }{\pi }^{\pm }$ decays
• Measurement of $CP$ observables in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$ with $D\to K_{\mathrm{S}}^0{K}^{\pm }{\pi }^{\mp }$ decays
• Measurement of CP Asymmetry in B0 to Ks pi0 pi0 Decays
• First observation of $B^{+}\to D_s^{+}{K}^{+}{K}^{-}$ decays and a search for $B^{+}\to D_s^{+}\varphi$ decays
• Search for rare decays of $D^0$ mesons into two muons
• Measurement of $CP$ asymmetries in $D^{\pm }\to {\eta }^{\prime }{\pi }^{\pm }$ and $D_s^{\pm }\to {\eta }^{\prime }{\pi }^{\pm }$ decays
• Evidence for the two-body charmless baryonic decay $B^{+}\to p\bar{\Lambda }$
• Measurement of $CP$ asymmetry in $D^0\to K_S^0{K}_S^0$ decays
• Evidence of a $J/\psi K_S^0$ structure in $B^0\to J/\psi \varphi K_S^0$ decays
• Observation of the $B_s^0\to J/\psi \varphi \varphi$ decay
• Evidence for modification of $b$ quark hadronization in high-multiplicity $pp$ collisions at $\sqrt{s}=13$ TeV
• First observation of the decays ${\bar{B}}_{(s)}^0\to D_s^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ and ${\bar{B}}_s^0\to D_{s1}(2536{)}^{+}{\pi }^{-}$
• Measurement of the charm mixing parameter $y_{CP}-y_{CP}^{K\pi }$ using two-body $D^0$ meson decays
• Search for the $CP$-violating strong decays $\eta \to {\pi }^{+}{\pi }^{-}$ and ${\eta }^{\prime }(958)\to {\pi }^{+}{\pi }^{-}$
• Study of charmonium and charmonium-like contributions in $B^{+}\to J/\psi \eta K^{+}$ decays
• Observation of the suppressed ${\Lambda }_b^0\to Dp{K}^{-}$ decay with $D\to K^{+}{\pi }^{-}$ and measurement of its $CP$ asymmetry
• Search for lepton-flavor violating decays $D^0\to X^0{e}^{\pm }{\mu }^{\mp }$
• Searching for Prompt and Long-Lived Dark Photons in Electro-Produced $e^{+}{e}^{-}$ Pairs with the Heavy Photon Search Experiment at JLab
• Measurement of the CKM angle $\gamma$ using $B^0\to D{K}^{\ast 0}$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays
• Measurement of the relative branching fractions of $B^{+}\to h^{+}{h}^{\prime +}{h}^{\prime -}$ decays
• Search for the doubly heavy baryon ${\Xi }_{bc}^{+}$ decaying to $J/\psi {\Xi }_c^{+}$
• First observation of the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Study of $D_{s1}(2460{)}^{+}\to D_s^{+}{\pi }^{+}{\pi }^{-}$ in $B\to {\bar{D}}^{(\ast )}{D}_s^{+}{\pi }^{+}{\pi }^{-}$ decays
• Measurement of $CP$ observables in the process $B^0\to D{K}^{\ast 0}$ with two- and four-body $D$ decays
• Observation of the $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^0$ decay
• Measurement of the branching fraction and $CP$ asymmetry in $B^{+}\to J/\psi {\rho }^{+}$ decays
• Measurement of CP Asymmetries in B0 --> K0S K0S K0S Decays
• Measurement of the CKM angle $\gamma$ with $B^{\pm }\to D[K^{\mp }{\pi }^{\pm }{\pi }^{\pm }{\pi }^{\mp }]h^{\pm }$ decays using a binned phase-space approach
• Study of Excited $\Xi$ Baryons with the PANDA Detector
• Momentum scale calibration of the LHCb spectrometer
• Observation of the open-charm tetraquark candidate $T_{cs0}^{\ast }(2870{)}^0$ in the $B^{-}\to D^{-}{D}^0{K}_{\mathrm{S}}^0$ decay
• First evidence for direct CP violation in beauty to charmonium decays
• Search for time-dependent $CP$ violation in $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays
• Search for Bbar --> Lambda_c+ X l- nu Decays in Events With a Fully Reconstructed B Meson
• Search for $CP$ violation in the phase space of $D^0\to {\pi }^{-}{\pi }^{+}{\pi }^0$ decays with the energy test
• Model-independent measurement of charm mixing parameters in $\bar{B}\to D^0(\to K_S^0{\pi }^{+}{\pi }^{-}){\mu }^{-}{\bar{\nu }}_{\mu }X$ decays
• Observation of the $B_s^0\to J/\psi K_{\mathrm{S}}^0{K}^{\pm }{\pi }^{\mp }$ decay
• Recent advances in charm mixing and $CP$ violation at LHCb
• First determination of the spin-parity of ${\Xi }_c(3055{)}^{+,0}$ baryons
• The LHCb Sprucing and Analysis Productions
• Measurement of the branching fraction ratio $R_K$ at large dilepton invariant mass
• Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$
• First observation of the decay $B^0\to D^0\overline{D}{}^0{K}^{+}{\pi }^{-}$
• Amplitude analysis of $B^{+}\to \psi (2S)K^{+}{\pi }^{+}{\pi }^{-}$ decays
• First observation of the ${\Lambda }_b^0\to D^{+}{D}^{-}\Lambda$ decay
• Observation of the decays $B_{(s)}^0\to D_{s1}(2536{)}^{\mp }{K}^{\pm }$
• Angular analysis of $B^0\to D^{\ast -}{D}_s^{\ast +}$ with $D_s^{\ast +}\to D_s^{+}\gamma$ decays
• Observation of Cabibbo-Suppressed Two-Body Hadronic Decays and Precision Mass Measurement of the ${\Omega }_c^0$ Baryon
• Observation of $B^{+}\to J/\psi 3{\pi }^{+}2{\pi }^{-}$ and $B^{+}\to \psi (2S){\pi }^{+}{\pi }^{+}{\pi }^{-}$ decays
• Updated search for $B_c^{+}$ decays to two charm mesons
• Kinematic and vertex fitting package for the CMD-3 experiment
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• Observation of orbitally excited $B_c^{+}$ states
• FunTuple: A new N-tuple component for offline data processing at the LHCb experiment
• Measurement of the mass difference and relative production rate of the ${\Omega }_b^{-}$ and ${\Xi }_b^{-}$ baryons
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to B_s^0{\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• Observation of the decay ${\Lambda }_b^0\to {\chi }_{c1}p{\pi }^{-}$
• Search for $CP$ violation in $D_{(s)}^{+}\to K^{-}{K}^{+}{K}^{+}$ decays
• Measurement of $D^0-{\overline{D}}^0$ mixing and search for $CP$ violation with $D^0\to K^{+}{\pi }^{-}$ decays
• Constraints on the photon polarisation in $b\to s\gamma$ transitions using $B_s^0\to \varphi e^{+}{e}^{-}$ decays
• Measurement of $CP$ violation in $B^0\to D^{\ast \pm }{D}^{\mp }$ decays
• Long-lived particle reconstruction downstream of the LHCb magnet
• Observation of the decay $\overline{B_s^0}\to {\chi }_{c2}{K}^{+}{K}^{-}$ in the $\phi$ mass region
• First observation and branching fraction measurement of the ${\Lambda }_b^0\to D_s^{-}p$ decay
• Observation of the ${\Lambda }_b^0\to {\Lambda }_c^{+}{K}^{+}{K}^{-}{\pi }^{-}$ decay
• Observation of the $B^{+}\to J/\psi {\eta }^{\prime }{K}^{+}$ decay
• A search for rare $B\to D{\mu }^{+}{\mu }^{-}$ decays
• Study of $B_c^{+}\to {\chi }_c{\pi }^{+}$ decays
• Search for the lepton-flavor violating decay $B_s^0\to \varphi {\mu }^{\pm }{\tau }^{\mp }$
• Observation of the ${\Lambda }_b^0\to J/\psi {\Xi }^{-}{K}^{+}$ and ${\Xi }_b^0\to J/\psi {\Xi }^{-}{\pi }^{+}$ decays
• Observation of the decay $B^0\to J/\psi \omega$ at Belle II
• Observation of time-dependent $CP$ violation and measurement of the branching fraction of $B^0\to J/\psi {\pi }^0$ decays
• Measurement of $CP$ asymmetry in $B_s^0\to D_s^{\mp }{K}^{\pm }$ decays
• Observation of muonic Dalitz decays of ${\chi }_b$ mesons and precise spectroscopy of hidden-beauty states
• Amplitude analysis and branching fraction measurement of $B^{+}\to D^{\ast -}{D}_s^{+}{\pi }^{+}$ decays
• Measurement of the ${\Omega }_c^0$ and ${\Xi }_c^0$ baryon lifetimes using hadronic $b$-baryon decays
• First observation of the ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{-}{K}^{+}{K}^{-}$ decay and search for pentaquarks in the ${\Lambda }_c^{+}{D}_s^{-}$ system
• Study of $CP$ violation in $B_{(s)}^0\to D{K}^{\ast }(892{)}^0$ decays with $D\to K\pi (\pi \pi )$, $\pi \pi (\pi \pi )$, and $KK$ final states
• Study of $B_c(1P{)}^{+}$ states in the $B_c^{+}\gamma$ mass spectrum
• Measurement of $CP$ asymmetries in $B^0\to \varphi K_S^0$ decays with Belle II
• Observation of the $B_s^0\to {\chi }_{c1}(3872){\pi }^{+}{\pi }^{-}$ decay
• Measurement of the $CP$ asymmetry in $B^{-}\to D_s^{-}{D}^0$ and $B^{-}\to D^{-}{D}^0$ decays
• Observation of the $B^0\to {\overline{D}}^{\ast 0}{K}^{+}{\pi }^{-}$ and $B_s^0\to {\overline{D}}^{\ast 0}{K}^{-}{\pi }^{+}$ decays
• Study of $B_c^{+}$ meson decays to charmonia plus multihadron final states
• Observation of the doubly Cabibbo-suppressed decay ${\Xi }_c^{+}\to p\varphi$
• Measurement of the CKM angle $\gamma$ in $B^{\pm }\to D{K}^{\ast }(892{)}^{\pm }$ decays
• Search for the decay $B^0\to \varphi \varphi$
• Measurements of $CP$ asymmetries and branching fraction ratios of $B^{-}$ decays to two charm mesons
• Observation of the $B_s^0\to D^{\ast +}{D}^{\ast -}$ decay
• Amplitude analysis of the ${\Lambda }_b^0\to p{K}^{-}\gamma$ decay
• Measurement of the branching fraction of the ${\Lambda }_b^0\to J/\psi \Lambda$ decay and isospin asymmetry of $B\to J/\psi K$ decays
• Measurement of the Branching Fraction of $B^0\to J/\psi {\pi }^0$ Decays
• Evidence for the decays $B^0\to {\bar{D}}^{(\ast )0}\varphi$ and updated measurements of the branching fractions of the $B_s^0\to {\bar{D}}^{(\ast )0}\varphi$ decays
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Observation of CP violation in charm decays at LHCb
• Improving systematic uncertainties on precision two-body mass measurements
• Study of light-meson resonances decaying to $K_{\mathrm{S}}^{0}K\pi$ in the $B\to (K_{\mathrm{S}}^{0}K\pi )K$ channels
• A model-independent measurement of the CKM angle $\gamma$ in partially reconstructed $B^{\pm }\to D^{\ast }{h}^{\pm }$ decays with $D\to K_S^0{h}^{+}{h}^{-}$ $(h=\pi ,K)$
• Measurement of $CP$ violation in $B^0\to D^{+}{D}^{-}$ and $B_s^0\to D_s^{+}{D}_s^{-}$ decays
• Search for the $B_c^{+}\to {\chi }_{c1}(3872){\pi }^{+}$ decay
• A $b$-baryon sonata
• Precision measurement of CP violation and branching fractions in $B^{\pm }\to K_{\mathrm{S}}^0{h}^{\pm }$ $(h=\pi ,K)$ decays and search for the rare decay $B_c^{\pm }\to K_{\mathrm{S}}^0{K}^{\pm }$
• Observation of the decay ${\chi }_{c1}(3872)\to J/\psi {\mu }^{+}{\mu }^{-}$
• Measurement of ${\tau }_L$ using the $B_s^0\to J/\psi \eta$ decay mode
• Search for lepton-number-violating $B^{-}\to D^{(\ast )+}{\mu }^{-}{\mu }^{-}$ decays
• Observation of ${\Lambda }_b^0\to D^{+}p{\pi }^{-}{\pi }^{-}$ and ${\Lambda }_b^0\to D^{\ast +}p{\pi }^{-}{\pi }^{-}$ decays
• Measurement of $CP$ violation in $B^0\to J/\psi K_{\mathrm{S}}^0$ and $B^0\to \psi (2S)K_{\mathrm{S}}^0$ decays
• Measurement of $CP$ asymmetries in $B^0\to {\eta }^{\prime }{K}_s^0$ decays at Belle II
• Measurement of $CP$ asymmetries in $D_{(s)}^{+}\to \eta {\pi }^{+}$ and $D_{(s)}^{+}\to {\eta }^{\prime }{\pi }^{+}$ decays