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Summary of Working Group 4: Mixing and mixing-related $CP$ violation in the B system: $\Delta m$, $\Delta \Gamma$, $\phi_s$, $\phi_1/\alpha$, $\phi_2/\beta$, $\phi_3/\gamma$ / Dziurda, Agnieszka ; Erben, Felix ; Führing, Marc Quentin ; Humair, Thibaud ; Latham, Thomas ; Malami, Eleftheria ; Reeck, Pascal ; Shtabovenko, Vladyslav ; Cruz Torres, Melissa ; Uematsu, Yuma et al.
This summary reviews contributions to the CKM 2023 workshop in Working Group 4: mixing and mixing-related $CP$ violation in B system. [...]
arXiv:2404.03945 ; P3H-24-017 ; TTP24-006 ; CERN-TH-2024-043. -
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Searches for 25 rare and forbidden decays of $D^{+}$ and $ {D}_s^{+} $ mesons / LHCb Collaboration
A search is performed for rare and forbidden charm decays of the form $D_{(s)}^+ \to h^\pm \ell^+ \ell^{(\prime)\mp}$, where $h^\pm$ is a pion or kaon and $\ell^{(')\pm}$ is an electron or muon. The measurements are performed using proton-proton collision data, corresponding to an integrated luminosity of $1.6\text{fb}^{-1}$, collected by the LHCb experiment in 2016. [...]
arXiv:2011.00217; LHCb-PAPER-2020-007; CERN-EP-2020-140.- 2021-06-07 - 24 p. - Published in : JHEP 2106 (2021) 044 Article from SCOAP3: PDF; Fulltext: PDF;

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First observation of the decay $\Lambda_b^0 \to \eta_c(1S) p K^-$ / LHCb Collaboration
The decay $\Lambda_b^0 \to \eta_c(1S) p K^-$ is observed for the first time using a data sample of proton-proton collisions, corresponding to an integrated luminosity of 5.5 $fb^{-1}$, collected with the LHCb experiment at a centre-of-mass energy of 13 TeV. The branching fraction of the decay is measured, using the $\Lambda_b^0 \to J/\psi p K^-$ decay as a normalisation mode, to be $\mathcal{B}(\Lambda_b^0 \to \eta_c(1S) p K^-)=(1.06\pm0.16\pm0.06^{+0.22}_{-0.19})\times10^{-4}$, where the quoted uncertainties are statistical, systematic and due to external inputs, respectively. [...]
arXiv:2007.11292; LHCb-PAPER-2020-012; CERN-EP-2020-124; LHCB-PAPER-2020-012.- Geneva : CERN, 2020-12-23 - 12 p. - Published in : Phys. Rev. D 102 (2020) 112012 Article from SCOAP3: PDF; Fulltext: PDF; Fulltext from Publisher: PDF; Related data file(s): ZIP; Supplementary information: ZIP;

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Observation of enhanced double parton scattering in proton-lead collisions at $\sqrt{s_\mathrm{NN}}=8.16$ TeV / LHCb Collaboration
A study of prompt charm-hadron pair production in proton-lead collisions at $\sqrt{s_\mathrm{NN}}= 8.16$ TeV is performed using data corresponding to an integrated luminosity of about 30 nb${}^{-1}$, collected with the LHCb experiment. Production cross-sections for different pairs of charm hadrons are measured and kinematic correlations between the two charm hadrons are investigated. [...]
arXiv:2007.06945; LHCb-PAPER-2020-010; CERN-EP-2020-119; LHCB-PAPER-2020-010.- Geneva : CERN, 2020-11-20 - 13 p. - Published in : Phys. Rev. Lett. 125 (2020) 212001 Article from SCOAP3: PDF; Fulltext: 2007.06945 - PDF; Paper-2020-010 - PDF; Related data file(s): ZIP; Supplementary information: ZIP;

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Observation of structure in the $J/\psi$-pair mass spectrum / LHCb Collaboration
Using proton-proton collision data at centre-of-mass energies of $\sqrt{s} = 7$, $8$ and $13\mathrm{\,TeV}$ recorded by the LHCb experiment at the Large Hadron Collider, corresponding to an integrated luminosity of $9\mathrm{\,fb}^{-1}$, the invariant mass spectrum of $J/\psi$ pairs is studied. A narrow structure around $6.9\mathrm{\,GeV/}c^2$ matching the lineshape of a resonance and a broad structure just above twice the $J/\psi$ mass are observed. [...]
arXiv:2006.16957; CERN-EP-2020-115; LHCb-PAPER-2020-011; LHCB-PAPER-2020-011.- Geneva : CERN, 2020-12-15 - 11 p. - Published in : Sci. Bull. 65 (2020) 1983-1993 Fulltext: PDF; Related data file(s): ZIP; External link: Press Release

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Search for $CP$ violation in $\Xi_c^+\rightarrow pK^-\pi^+$ decays using model-independent techniques / LHCb Collaboration
A first search for $CP$ violation in the Cabibbo-suppressed $\Xi_c^+\rightarrow pK^-\pi^+$ decay is performed using both a binned and an unbinned model-independent technique in the Dalitz plot. The studies are based on a sample of proton-proton collision data, corresponding to an integrated luminosity of $3.0~\rm fb^{-1}$, and collected by the LHCb experiment at centre-of-mass energies of $7$ and $8~\rm TeV$. [...]
arXiv:2006.03145; CERN-EP-2020-069; LHCb-PAPER-2019-026; LHCB-PAPER-2019-026.- Geneva : CERN, 2020-10-26 - 16 p. - Published in : Eur. Phys. J. C 80 (2020) 986 Article from SCOAP3: PDF; Fulltext: PDF; Related data file(s): ZIP;

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Study of the $\psi_2(3823)$ and $\chi_{c1}(3872)$ states in $B^+\to (J/\psi \pi^+\pi^-)K^+$ decays / LHCb Collaboration
The decays $B^+\rightarrow J/\psi \pi^+ \pi^- K^+$ are studied using a data set corresponding to an integrated luminosity of 9 fb$^{-1}$ collected with the LHCb detector in proton-proton collisions between 2011 and 2018. Precise measurements of the ratios of branching fractions with the intermediate $\psi_2(3823)$, $\chi_{c1}(3872)$ and $\psi(2S)$ states are reported. [...]
arXiv:2005.13422; CERN-EP-2020-071; LHCb-PAPER-2020-009; LHCB-PAPER-2020-009.- Geneva : CERN, 2020-08-25 - 29 p. - Published in : JHEP 2008 (2020) 123 Article from SCOAP3: PDF; Fulltext: LHCb-PAPER-2020-009 - PDF; 2005.13422 - PDF; Related data files: ZIP; Supplementary information: ZIP; External link: Interactions.org article

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Measurement of the branching fractions for $B^+\to D^{*+}D^-K^+$, $B^+\to D^{*-}D^+K^+$, and $B^0\to D^{*-}D^0K^+$ decays / LHCb Collaboration
A measurement of four branching-fraction ratios for three-body decays of $B$ mesons involving two open-charm hadrons in the final state is presented. Run 1 and Run 2 $pp$ collision data are used, recorded by the LHCb experiment at centre-of-mass energies $7$, $8$, and $13$ TeV and corresponding to an integrated luminosity of $9.1$ fb$^{-1}$. [...]
arXiv:2005.10264; LHCb-PAPER-2020-006; CERN-EP-2020-056; LHCB-PAPER-2020-006.- Geneva : CERN, 2020-12-21 - 22 p. - Published in : JHEP 2012 (2020) 139 Article from SCOAP3: PDF; Fulltext: PDF; Related data file(s): ZIP; Supplementary information: ZIP;

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Measurement of the $\Lambda^0_b\rightarrow J/\psi\Lambda$ angular distribution and the $\Lambda^0_b$ polarisation in $pp$ collisions / LHCb Collaboration
This paper presents an analysis of the $\Lambda^0_b\rightarrow J/\psi\Lambda$ angular distribution and the transverse production polarisation of $\Lambda^0_b$ baryons in proton-proton collisions at centre-of-mass energies of 7, 8 and 13 TeV. The measurements are performed using data corresponding to an integrated luminosity of 4.9 fb$^{-1}$, collected with the LHCb experiment. [...]
arXiv:2004.10563; LHCb-PAPER-2020-005; CERN-EP-2020-051; LHCB-PAPER-2020-005.- Geneva : CERN, 2020-06-17 - 30 p. - Published in : JHEP 2006 (2020) 110 Article from SCOAP3: PDF; Fulltext: PDF; Fulltext from publisher: PDF; Related data file(s): ZIP; Supplementary information: ZIP;

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10.

Precision measurement of the $B_{c}^{+}$ meson mass / LHCb Collaboration
A precision measurement of the $B_{c}^{+}$ meson mass is performed using proton-proton collision data collected with the LHCb experiment at centre-of-mass energies of $7, 8$ and $13$ TeV, corresponding to a total integrated luminosity of $9.0$ fb$^{-1}$. The $B_{c}^{+}$ mesons are reconstructed via the decays $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu \pi^+ \pi^- \pi^+$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu p \bar{p} \pi^+$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu D_{s}^{+}$, $B_{c}^{+} \rightarrow J\mskip -3mu/\mskip -2mu\psi\mskip 2mu D^{0} K^{+}$ and $B_{c}^{+} \rightarrow B_{s}^{0} \pi^+$. [...]
arXiv:2004.08163; LHCb-PAPER-2020-003; CERN-EP-2020-048; LHCB-PAPER-2020-003.- Geneva : CERN, 2020-07-20 - 21 p. - Published in : JHEP 2007 (2020) 123 Article from SCOAP3: PDF; Fulltext: LHCb-PAPER-2020-003_arXiv - PDF; 2004.08163 - PDF; Related data file(s): ZIP;

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