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  1. A<sc>bstract</sc> This paper presents a study of the charmless three-body decays$$ {B}_{(s)}^0\to {K}_{\mathrm{S}}^0{h}^{+}h{\prime}^{-} $$ Bs0 KS0h+h (whereh()=π, K), using a sample ofppcollision data collected by the LHCb experiment during Runs 1 and 2 of the LHC, corresponding to an integrated luminosity of 9 fb−1. The decay$$ {B}_s^0\to {K}_{\mathrm{S}}^0{K}^{+}{K}^{-} $$ Bs0KS0K+K is observed for the first time, and the following ratios of branching fractions are measured:$$ {\displaystyle \begin{array}{l}\frac{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{K}^{+}{K}^{-}\right)}{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=0.578\pm 0.007\pm 0.017,\\ {}\frac{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{K}^{\pm }{K}^{\mp}\right)}{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=0.1363\pm 0.0035\pm 0.051,\\ {}\begin{array}{l}\frac{\mathcal{B}\left({B}_s^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=0.269\pm 0.011\pm 0.015\pm 0.008,\\ {}\frac{\mathcal{B}\left({B}_s^0\to {K}_{\mathrm{S}}^0{K}^{+}{K}^{-}\right)}{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=0.0303\pm 0.0041\pm 0.0025\pm 0.0009,\\ {}\frac{\mathcal{B}\left({B}_s^0\to {K}_{\mathrm{S}}^0{K}^{\pm }{\pi}^{\mp}\right)}{\mathcal{B}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=1.818\pm 0.021\pm 0.031\pm 0.056,\end{array}\end{array}} $$ B B0KS0K+K B B0KS0π+π =0.578±0.007±0.017, B B0KS0K±K B B0KS0π+π =0.1363±0.0035±0.051, B Bs0KS0π+π B B0KS0π+π =0.269±0.011±0.015±0.008, B Bs0KS0K+K B B0KS0π+π =0.0303±0.0041±0.0025±0.0009, B Bs0KS0K±π B B0KS0π+π =1.818±0.021±0.031±0.056, where the uncertainties are statistical, systematic, and due to knowledge of the ratio of hadronisation fractions of the$$ {B}_s^0 $$ Bs0 andB0mesons, respectively. 
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    Free, publicly-accessible full text available July 1, 2027
  2. The time-dependent CP asymmetry in B0J/ψρ(770)0 decays is measured using proton-proton collision data corresponding to an integrated luminosity of 6fb1 , collected with the LHCb detector at a center-of-mass energy of 13 TeV during the years 2015–2018. The CP -violation parameters for this process are determined to be 2 β c c¯ d eff =0.710±0.084±0.051rad and |λ|=1.019±0.034±0.024 , where the first uncertainty is statistical and the second systematic. This constitutes the first observation of time-dependent CP violation in B0J/ψρ(770)0 decays. Assuming approximate SU(3) flavor symmetry, these results are combined with the previous consistent LHCb measurement to set the most stringent constraint on the penguin contribution, Δϕs , to the CP -violating phase ϕs in Bs0J/ψϕ(1020) decays, yielding Δϕs=5.0±4.6mrad
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    Free, publicly-accessible full text available July 1, 2027
  3. A search for the rare decay B+ Λ¯ pμ+μ is performed using proton-proton collision data recorded by the LHCb experiment at a center-of-mass energy of s =13TeV , corresponding to an integrated luminosity of 5.4fb1 . An excess of events is found with respect to the background-only expectation, with a signal significance of 3.5 standard deviations, in the low invariant-mass region of m( Λ¯ p)<2.8GeV/c2 . The branching fraction is measured to be Blow (B+ Λ¯ pμ+μ )= (1.7 00.56+0.65 (stat)±0.17(syst)±0.14(ext)) ×108 , where the last uncertainty is due to external inputs on B(B+ J/ψ Λ¯ p )×B(J/ψμ+μ) . With no significant signal observed in the high m(Λ¯p) region above 2.8GeV/c2 , an upper limit is set to be Bhigh (B+ Λ¯ pμ+μ )<2.8(3.7)×109 at the 90% (95%) confidence level. 
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    Free, publicly-accessible full text available July 1, 2027
  4. An analysis of the B0K*0(K+π)μ+μ decay is presented using proton-proton collision data collected by the LHCb experiment, corresponding to an integrated luminosity of 8.4fb1 . The full set of CP -averaged and CP -asymmetric angular observables is determined in bins of the invariant mass squared of the dimuon system, as well as the branching fraction relative to the B0J/ψ(μ+μ)K+π decay. For the first time, the full set of observables pertaining to the K+π S-wave contribution to the final state are presented and consideration is given to effects arising from the mass of the muons. The extracted CP -asymmetry observables show no significant deviations from zero. The measurements of the CP -averaged observables and the branching fractions continue to exhibit the pattern of tensions with the standard model predictions that have been seen in previous analyses that use part of the dataset considered in this Letter. 
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    Free, publicly-accessible full text available July 1, 2027
  5. The collinear and transverse-momentum-dependent jet fragmentation function and the radial profile for B± mesons in jets are measured. The B± mesons are reconstructed through the J/ψ(μ+μ)K± decay channel using proton-proton collision data collected during 2016–2018 with the LHCb detector at a center-of-mass (c.m.) energy of s=13TeV , corresponding to an integrated luminosity of 5.4fb1 . The results complement recent measurements of jet fragmentation functions for heavy-flavor hadrons and suggest a growing contribution of gluon fragmentation to B± mesons as the jet transverse momentum increases. 
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    Free, publicly-accessible full text available June 1, 2027
  6. A flavor-tagged time-dependent analysis of B0 KS0 μ+μ decays is performed across the full dimuon mass range excluding the J/ψ and ψ(2S) resonance regions. The analysis uses proton-proton collision data collected by the LHCb experiment in 2011–2018 at center-of-mass energies of 7, 8, and 13 TeV, corresponding to an integrated luminosity of 9fb1 . The CP violation parameters are determined to be C=0.13±0.32±0.04 , S=+0.82±0.29±0.05 , where the first uncertainties are statistical and the second are systematic. The results are consistent with the standard model prediction. This is the first experimental study of time-dependent CP violation in bs+ processes. 
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    Free, publicly-accessible full text available June 1, 2027
  7. The first measurements of the top- and antitop-quark differential production cross sections and the top-quark charge asymmetry in the forward region are presented, using proton-proton collision data collected by the LHCb experiment at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 5.4fb1 . The total production cross sections of top and antitop quarks are also determined. Measurements are performed using the μ+b-jet final state within a fiducial region defined by b -jet pT,jet >50GeV and pseudorapidity 2.2< ηjet <4.0 , with the muon from the W -boson decay required to have pT,μ >25GeV and 2.0<ημ<4.5 . The muon and b -jet system must satisfy pT (μ+jet)>20GeV . The measured integrated production cross sections for the top and antitop quarks are σt =0.95±0.04±0.08±0.02pb , σ t¯ =0.81±0.03±0.07±0.02pb , where the first uncertainty is statistical, the second systematic, and the third accounts for the luminosity uncertainty. The top-quark charge asymmetry is measured to be ACt =0.08±0.03±0.01 , where the first uncertainty is statistical and the second is systematic. These results are consistent with next-to-leading order Standard Model predictions. 
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    Free, publicly-accessible full text available June 1, 2027
  8. Abstract An amplitude analysis of the$${{{B} ^0} \!\rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-}} $$ B0ηc(1S)K+π- decays with$${\eta _{c}} (1S) \rightarrow {p} {\overline{{p}}} $$ ηc(1S)pp¯ is performed using a sample corresponding to an integrated luminosity of 9$$\,\text {fb} ^{-1}$$ fb-1 of$$p $$ p $$p $$ p collision data collected by the LHCb detector at centre-of-mass energies of$$\sqrt{s}$$ s = 7, 8 and 13$$\,\text {Te\hspace{-1.00006pt}V}$$ TeV . The data are described with a model including only intermediate contributions from known$${K} ^{*0}$$ K 0 resonances. Evidence for an exotic resonance in the$${\eta _{c}} (1S) {{\pi } ^-} $$ ηc(1S)π- system, reported in a previous analysis of this decay channel, is not confirmed. The inclusive branching fraction of the$${{B} ^0} \rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-} $$ B0ηc(1S)K+π- decays is measured to be$$\begin{aligned}&\mathcal {B}({{B} ^0} \rightarrow {\eta _{c}} (1S) {{K} ^+} {{\pi } ^-}) \\&\quad = (5.82 \pm 0.20 \pm 0.23 \pm 0.55) \times 10^{-4}, \end{aligned}$$ B(B0ηc(1S)K+π-) =(5.82±0.20±0.23±0.55)×10-4, where the first uncertainty is statistical, the second systematic, and the third arises from the limited knowledge of external branching fractions. 
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    Free, publicly-accessible full text available May 1, 2027
  9. A search is performed for lepton-number-violating BD(*)+μμ decays, using data collected by the LHCb experiment in proton-proton collisions at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 5.4fb1 . No significant signal is observed, and upper limits are set on the branching fractions, B(BD+μμ)<4.6×108 and B(BD*+μμ)<5.9×108 , at the 95% confidence level. 
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    Free, publicly-accessible full text available May 1, 2027
  10. A time- and flavor-integrated amplitude analysis of B0 and Bs0 decays to the (K+π)(Kπ+) final state in the K*(892)0K¯*(892)0 region is presented, using pp collision data recorded with the LHCb detector in 2011–2018, corresponding to an integrated luminosity of 9fb1 . The branching fractions of the B0 and Bs0 decays are measured relative to the B0Dπ+ and Bs0Dsπ+ modes, respectively. The corresponding longitudinal polarization fractions are found to be fLd=0.600±0.022±0.017 and fLs=0.159±0.010±0.007 , where the uncertainties are statistical and systematic, respectively. The theory-motivated ratio of the squared Bs0 to B0 longitudinally polarized decay amplitudes is found to be LK*0K¯*0 =4.92±0.55±0.48±0.02±0.10 , where the uncertainties are statistical, systematic, due to uncertainty of external mass and lifetime measurements, and due to knowledge of the fragmentation fraction ratio, respectively. This confirms the previously reported tension between experimental determinations and theoretical predictions of longitudinal polarization in BVV decays at the level of 4.4 standard deviations. 
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    Free, publicly-accessible full text available May 1, 2027