Visualisation of $CP$-violation effects in decay-time-dependent analyses of multibody $B$-meson decays

Abstract

Decay-time-dependent $CP$-violation effects in transitions of neutral $B$ mesons to $CP$-eigenstates can be visualised by oscillations in the asymmetry, as a function of decay time, between decay yields from mesons tagged as initially having $\overline{B}$ or $B$ flavour. Such images, for example for $B^0\to J/\psi K_{\mathrm{S}}^0$ decays where the magnitude of the oscillation is proportional to $\sin (2\beta )$ with $\beta$ being an angle of the Cabibbo--Kobayashi--Maskawa Unitarity Triangle, provide a straightforward illustration of the underlying physics. Until now there has been no comparable method to provide visualisation for the case of decays to multibody final states that are not $CP$-eigenstates, where interference between $CP$-even and -odd amplitudes provides additional physics sensitivity. A method is proposed to weight the data so that the terms of interest can be projected out and used to obtain asymmetries that visualise the relevant effects. Application of the weighting to $B_s^0$ decays, where effects due to non-zero width difference are not negligible, provides a novel method to observe $CP$ violation in interference between mixing and decay without tagging the production flavour.

arXiv comment17 pages, 5 figures

References in corpus (46)

• sPlot: a statistical tool to unfold data distributions
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• In Pursuit of New Physics with B_s Decays
• Dalitz plot analysis of $B^0\to {\overline{D}}^0{\pi }^{+}{\pi }^{-}$ decays
• Study of CP violation in Dalitz-plot analyses of B0 --> K+K-KS, B+ --> K+K-K+, and B+ --> KSKSK+
• Precise measurement of the CP violation parameter sin2phi_1 in B0-->(c\bar c)K0 decays
• Bs-Bs.bar Mixing, CP Violation and Extraction of CKM Phases from Untagged Bs Data Samples
• Ambiguity-Free Measurement of cos2beta: Time-Integrated and Time-Dependent Angular Analyses of B->J/Psi K pi
• Opposite-side flavour tagging of B mesons at the LHCb experiment
• Studies of CP violation in B->J/psi K* decays
• Time-dependent amplitude analysis of B0 --> K0S pi+ pi-
• Laura++ : a Dalitz plot fitter
• Lifetime Difference and CP-Violating Phase in the B_s^0 System
• Measurement of the CP-violating phase $\beta$ in $B^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays and limits on penguin effects
• B0(t) -> DPP time-dependent Dalitz plots, CP-violating angles 2beta, 2beta+gamma, and discrete ambiguities
• Measurement of the $CP$-violating phase ${\varphi }_s$ in $B_s^0\to J/\psi \varphi$ decays in ATLAS at 13 TeV
• Measurement of CP violating asymmetries in B^0 -> K^+K^- K^0_S decays with a time-dependent Dalitz approach
• Measurement of ${CP}\xspace$ Violation Parameters with a Dalitz Plot Analysis of $B^{\pm }\to D_{{\pi }^{+}{\pi }^{-}{\pi }^0}{K}^{\pm }$
• First determination of the CP content of D->pi+pi-pi0 and D->K+K-pi0
• Measurement of CP Asymmetry in a Time-Dependent Dalitz Analysis of B^0 \to (ρπ)^0 and a Constraint on the Quark Mixing Matrix Angle ϕ_2
• Time-dependent Dalitz Plot Measurement of CP Parameters in B0 --> Ks Pi+ Pi- Decays
• Time-Dependent CP Violation in $B^0\to P^0{P}^0{X}^0$ Decays
• Resonances and $CP$ violation in $B_s^0$ and ${\overline{B}}_s^0\to J/\psi K^{+}{K}^{-}$ decays in the mass region above the $\varphi (1020)$
• Combined D0 Measurements Constraining the CP-violating Phase and Width Difference in the $B_s^0$ System
• Measurement of the $CP$-violating phase ${\varphi }_{\mathrm{s}}$ in the B${}_{\mathrm{s}}^0$ $\to$ J$/\psi \varphi$(1020) $\to$ ${\mu }^{+}{\mu }^{-}$K${}^{+}$K${}^{-}$ channel in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• $B$ flavour tagging using charm decays at the LHCb experiment
• Precise determination of the B0s-B0sbar oscillation frequency
• Using untagged B^0 -> D K_S to determine gamma
• Contributions to the width difference in the neutral $D$ system from hadronic decays
• Observation of the decay B0 -> D0bar K+ K- and evidence for Bs -> D0bar K+ K-
• Measurement of CP Asymmetries and Branching Fractions in a Time-Dependent Dalitz Analysis of B^0-->(rho pi)^0 and a Constraint on the Quark Mixing Angle phi_2
• Measurement of CP-violating asymmetries in B^0 -> (rho pi)^0 decays using a time-dependent Dalitz plot analysis
• Hunting the CKM weak phase with time-integrated Dalitz analyses of Bs -> K pi pi decays
• Enhanced effects on extracting γfrom untagged B^0 and B_s decays
• Measurement of the $CP$-violating phase ${\varphi }_s$ from $B_s^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays in 13 TeV $pp$ collisions
• First measurement of the $CP$-violating phase ${\varphi }_s^{d\overline{d}}$ in $B_s^0\to (K^{+}{\pi }^{-})(K^{-}{\pi }^{+})$ decays
• A Method to Measure cos(2beta) Using Time-Dependent Dalitz Plot Analysis of B0 -> D_CP pi+ pi-
• New algorithms for identifying the flavour of $B^0$ mesons using pions and protons
• Measurement of CP violation in $B^0\to \psi (\to {\ell }^{+}{\ell }^{-})K_S^0(\to {\pi }^{+}{\pi }^{-})$ decays
• Observing Direct CP Violation in Untagged B-Meson Decays
• Measurement of $CP$ violation in $B^0\to D^{+}{D}^{-}$ decays
• Direct CP Violation in Untagged B-Meson Decays
• First evidence for $\cos 2\beta >0$ and resolution of the CKM Unitarity Triangle ambiguity by a time-dependent Dalitz plot analysis of $B^0\to D^{(\ast )}{h}^0$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays
• Precision measurement of $CP$ violation in the penguin-mediated decay $B_s^0\to \varphi \varphi$
• Study of CKM angle $\gamma$ sensitivity using flavor untagged $B_s^0\to {\tilde{D}}^{(\ast )0}\varphi$ decays
• Measurement of $CP$ violation in $B^0\to D^{\ast \pm }{D}^{\mp }$ decays

Cited by in corpus (1)

• More visualisation of decay-time-dependent asymmetries in multibody B-meson decays