Observation of the Λ0b→Λφdecay
Abstract
The Λ0b→Λφdecay is observed using data corresponding to an integrated luminosity of 3.0fb−1recorded by the LHCbexperiment. The decay proceeds at leading order via a b →sssloop transition and is therefore sensitive to the possible presence of particles beyond the Standard Model. A first observation is reported with a significance of 5.9standard deviations. The value of the branching fraction is measured to be (5.18 ±1.04 ±0.35+0.67−0.62) ×10−6, where the first uncertainty is statistical, the second is systematic, and the third is related to external inputs. Triple-product asymmetries are measured to be consistent with zero.
Full text
Physics Letters B 759 (2016) 282–292 Contents lists available at ScienceDirect Physics Letters B www.elsevier.com/locate/physletb Observation of the Λ0 b→Λφ decay .The LHCb Collaboration a r t i c l e i n f o a b s t r a c t Article history: Received 10 March 2016 Received in revised form 13 May 2016 Accepted 24 May 2016 Available online 26 May 2016 Editor: W.-D. Schlatter The Λ0 b→Λφ decay is observed using data corresponding to an integrated luminosity of 3.0fb −1 recorded by the LHCb experiment. The decay proceeds at leading order via a b →sss loop transition and is therefore sensitive to the possible presence of particles beyond the Standard Model. A first observation is reported with a significance of 5.9standard deviations. The value of the branching fraction is measured to be (5.18 ±1.04 ±0.35+0.67 −0.62) ×10−6, where the first uncertainty is statistical, the second is systematic, and the third is related to external inputs. Triple-product asymmetries are measured to be consistent with zero. ©2016 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. 1. Introduction In the Standard Model (SM), the flavour-changing neutral current decay Λ0 b→Λφ proceeds via a b →sss loop (penguin) process. A Feynman diagram of the gluonic penguin that contributes to this decay at leading order is displayed in Fig. 1. This transition has been the subject of theoretical and experimental interest in B0 sand B0decays, since possible beyond the SM particles in the loop could induce non-SM CP violation [1–3]. The process has been probed with decay-time-dependent methods in the B0 s→φφ and B0→K0 Sφdecay modes [4–7], which test for CP violation in the interference between mixing and decay. In addition, measurements of CP violation in the decay have been performed with the flavourspecific B0→K∗0φchannel [8]. The results to date are consistent with CP conservation in the b →sss process. Model-independently, non-SM physics contributions could appear differently in these decay modes, though many models contain strong correlations [9]. Measurements with Λ0 bbaryons offer the possibility to look for CP violation in the decay, both by studying CP asymmetries and by means of T-odd observables. These observables have been studied in greater detail for B0 sand B0meson decays than those for Λ0 bbaryons [4,8,10,11]. Proposed methods to study T-odd asymmetries of Λ0 bbaryons [12] exploit the polarisation structure of Λ0 b→ΛVdecays, where Vdenotes a vector resonance [12], and can be affected by the initial Λ0 bpolarisation if non-zero. An LHCb measurement of the initial polarisation in Λ0 b→J/ ψΛ decays has yielded a value consistent with zero, though polarisation at the level of 10% is possible given statistical uncertainties [13]. No SM prediction exists specifically for the T-odd asymmetries in Λ0 b→Λφ decays, though no large asymmetries are expected given the prediction of CP conservation in the decays of beauty mesons for the same transition. Measurements of CP asymmetries have Fig. 1. Feynman diagram contributing to the Λ0 b→Λφ decay. been performed by LHCb in an inclusive analysis of Λ0 b→Λhhdecays [14], where h(h)refers to a kaon or pion, with corresponding CP asymmetries measured to be consistent with zero. In this paper, a measurement of the Λ0 b→Λφ branching fraction is presented using the B0→K0 Sφdecay as a normalisation channel, which has a measured branching fraction of (7.3+0.7 −0.6) × 10−6[15]. The selection requirements used to isolate the Λ0 b→ Λφ decay with well-understood efficiencies reject suitable control channels for a ACP measurement. The Λ0 b→Λφ sample is then used to perform measurements of the T-odd triple-product asymmetries, which do not require a control channel. The results are based on pp collision data corresponding to an integrated luminosity of 1.0fb −1and 2.0fb −1collected by the LHCb experiment at centre-of-mass energies of √s=7TeV in 2011 and 8TeVin 2012, respectively. 2. Detector and simulation The LHCb detector [16,17] is a single-arm forward spectrometer covering the pseudorapidity range 2 <η<5, designed for the http://dx.doi.org/10.1016/j.physletb.2016.05.077 0370-2693/©2016 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
The LHCb Collaboration / Physics Letters B 759 (2016) 282–292 283 study of particles containing bor cquarks. The detector includes a high-precision tracking system consisting of a silicon-strip vertex detector surrounding the pp interaction region, a large-area silicon-strip detector located upstream of a dipole magnet with a bending power of about 4Tm, and three stations of siliconstrip detectors and straw drift tubes placed downstream of the magnet. The tracking system provides a measurement of momentum, p, of charged particles with a relative uncertainty that varies from 0.5% at low momentum to 1.0% at 200 GeV/c. The minimum distance of a track to a primary vertex, the impact parameter, is measured with a resolution of (15 +29/pT)μm, where pTis the component of the momentum transverse to the beam, in GeV/c. Different types of charged hadrons are distinguished using information from two ring-imaging Cherenkov detectors. Photons, electrons and hadrons are identified by a calorimeter system consisting of scintillating-pad and preshower detectors, an electromagnetic calorimeter and a hadronic calorimeter. The online event selection is performed by a trigger, which consists of a hardware stage, based on information from the calorimeter and muon systems, followed by a software stage, which applies a full event reconstruction. At the hardware trigger stage, events are required to have a muon with high pTor a hadron, photon or electron with high transverse energy in the calorimeters. For hadrons, the transverse energy threshold is 3.5 GeV. In the subsequent software trigger, at least one charged particle must have a transverse momentum pT>1.7GeV/cand be inconsistent with originating from a PV. Finally, the tracks of two or more of the final-state particles are required to form a vertex that is significantly displaced from the PVs. The final state particles that are identified as kaons are required to have a combined invariant mass consistent with that of the φmeson. In the simulation, pp collisions are generated using Pythia8 [18] with a specific LHCb configuration [19]. Decays of hadronic particles are described by EvtGen [20], in which final-state radiation is generated using Photos [21]. The interaction of the generated particles with the detector, and its response, are implemented using the Geant4 toolkit [22] as described in Ref. [23]. The decays of Λ0 bbaryons are modelled according to a phase-space description. Differences in the efficiencies of protons and anti-protons, at the sub-percent level, are accounted for with the Geant4 implementation of the detector description. 3. Selection The Λ0 b→Λφ and B0→K0 Sφdecays are reconstructed through the Λ →pπ−, K0 S→π+π−and φ→K+K−final states, where the inclusion of charge conjugate processes is implied throughout the paper. Decays of Λ →pπ−and K0 S→π+π−are reconstructed in two different categories. The first category contains Λ (K0 S) hadrons that decay inside the vertex detector acceptance and the second contains Λ(K0 S) hadrons that decay outside. These categories are referred to as long and downstream, respectively. The high resolution of the vertex detector leads to enhanced momentum, vertex, and mass resolutions for candidates in the long category relative to downstream candidates. Boosted decision trees (BDTs) [24,25] are used to separate signal from background. Different BDTs are trained for decays where the daughter tracks of the Λ(K0 S) hadron are classified as long or downstream and according to whether the data was collected in 2011 (7 TeV) or 2012 (8 TeV), yielding eight separate BDTs in total. The set of input variables used to train the Λ0 b→Λφ (B0→K0 Sφ) BDTs consists of the Λ0 b(B0) vertex fit quality, pT, η, the difference in χ2of the PV reconstructed with and without the candidate (χ2 IP), the flight distance squared divided by the associated variance (χ2 FD), the angle between the momentum vector and the vector from the PV to the decay vertex, the Λ(K0 S) vertex fit quality, and the pTand ηof the φand the Λ(K0 S) hadrons. The minimum and maximum values of the pTand ηassociated to the final state particles are also included. In addition, the BDT trained on the long category uses the χ2 IP and χ2 FD of the Λ(K0 S) with respect to the associated PV. A PV is reconstructed by requiring a minimum of five good quality tracks that are consistent with originating from the same location within the luminous region. Before the BDTs are trained, initial loose requirements are imposed on the input variables. The BDTs are trained using simulated candidates for the signal and data sidebands for the background. For the training samples, the signal region is defined as being within 150 MeV/c2 of the known Λ0 b(B0) mass [26]. In addition, the K+K−invariant mass is required to be within 20 MeV/c2of the known φmass and the pπ−invariant mass is required to be within 15 MeV/c2 of the known Λmass [26]. The sidebands are defined to be within 500 MeV/c2of the known Λ0 b(B0) mass excluding the signal region. The figure of merit used to determine the requirement imposed on the Λ0 b→Λφ BDT output is defined as ε/(3/2 +Nbkg)[27], where εis the signal efficiency, and Nbkg is the number of background events. This figure of merit is optimised for detection at three standard deviations of decay modes not previously observed. The signal efficiency is obtained from simulated signal candidates and the number of background events is calculated from fits to the data sidebands interpolated to the signal region. This optimisation procedure is performed separately for each BDT. In contrast to the Λ0 b→Λφ BDTs, the optimum response requirement for the B0→K0 SφBDTs is chosen based on a figure of merit defined as Nsig/Nsig +Nbkg, where Nsig is the number of signal events, estimated from the BDT efficiency on simulated datasets normalised using the known branching fraction of the B0→K0 Sφdecay [15], and Nbkg is the expected number of background candidates in the signal region, extrapolated from the B0 sidebands. This figure of merit is chosen as the B0→K0 Sφbranching fraction is well measured and is optimised separately for each classifier. 4. Mass fit model For both the Λ0 b→Λφ and B0→K0 Sφdecay modes, a threedimensional fit is employed to determine the signal candidate yields. In the Λ0 b→Λφ case, the three dimensions are the pπ−K+K−, pπ−, and K+K−invariant masses, while in the fit to determine the B0→K0 Sφcandidate yield, the three dimensions are the π+π−K+K−, π+π−, and K+K−invariant masses. Four components are present in the B0→K0 Sφmass fit: the signal B0→K0 Sφcomponent, the B0→K0 SK+K−non-resonant contribution, a π+π−K+K−combinatorial component, along with a true K0 Scomponent combined with two random kaons. The B0→K0 SK+K−non-resonant component has been observed by the BaBar [28], Belle [6] and LHCb [29] Collaborations. This is separated from the signal decay through the different K+K−invariant mass line shapes. No significant partially reconstructed background, in which one or more of the final state particles are missed, is found in the B0mass region. Peaking backgrounds, from decays in which at least one of the final state particles has been misidentified, are suppressed by the narrow K+K−mass window around the φmeson and are treated as systematic uncertainties. The B0signal is modelled with the same modified Gaussian function as used in Ref. [30]. The modified Gaussian gives extra degrees of freedom to accommodate extended tails far from the mean. The φsignal is modelled with a relativistic Breit–Wigner
284 The LHCb Collaboration / Physics Letters B 759 (2016) 282–292 shape [31] convolved with a Gaussian resolution function. The K0 S signal is parametrised by the sum of two Gaussian functions with a common mean. Decays from real B0mesons to the K0 SK+K−final state in which the K+K−pair is non-resonant are described by the same B0and K0 Sline shapes as the signal, but with a phase-space factor to describe the non-resonant kaon pairs. The phase-space factor is given by the expression (m2−(2mK)2)/m2, where mis the K+K−invariant mass and mKis fixed to the value of the charged kaon mass. The use of a Flatté function [32] rather than a phasespace factor to describe a possible scalar component under the φ resonance is found to have a negligible effect on the results and is therefore not included. The combinatorial background is modelled by exponential functions in all three mass dimensions. A simultaneous fit to the long and downstream datasets is performed. The B0resolution, modified Gaussian tail parameters and resolutions and fractions of the K0 SGaussian functions are constrained to values obtained from a fit to simulated data, performed separately for long and downstream datasets. The total yield and fraction in the downstream dataset are left as free parameters for each component. The fit to the Λ0 b→Λφ channel uses the same fit model as the B0→K0 Sφcontrol channel: a modified Gaussian function is used to describe the Λ0 bmass shape, a double Gaussian model to describe the Λshape, and a relativistic Breit–Wigner convolved with a Gaussian resolution function to describe that of the φresonance. Due to the relatively unexplored mass spectra present in the Λ0 b→Λφ decay, the background contributions have been identified using the data sidebands. In the final fit, four components are present. These are the signal Λ0 b→Λφ component, the Λ0 b→ΛK+K−non-resonant component in which the K+K− dimension is described using the phase-space factor defined previously, combinatorial components with true φor Λresonances, and a component that has a combinatorial origin in all three mass dimensions. Combinatorial backgrounds are modelled by exponential functions in each fit dimension. As for the case of the B0→K0 Sφ fit, the total yield and fraction in the downstream dataset are left as free parameters for each component. In addition, the same parameters are constrained to simulated data as in the B0→K0 Sφfit. 5. Branching fraction measurement The Λ0 b→Λφ branching fraction is obtained from the relation B(Λ0 b→Λφ) = tot B0→K0 Sφ tot Λ0 b→Λφ ·fd fΛ0 b· NΛ0 b→Λφ NB0→K0 Sφ·B(B0→K0φ) 2 ·B(K0 S→π+π−) B(Λ →pπ−),(1) where tot denotes the combined efficiency of the candidate reconstruction, the offline selection, the trigger requirements, and the efficiency of detector acceptance; fd(Λ0 b)denotes the fraction of bquarks that hadronise to B0(Λ0 b) hadrons. The ratio is taken from the LHCb measured value fΛ0 b/fd=0.387 ±0.033 [33]. The extra factor 1/2in Eq. (1) accounts for the fact that only half of K0mesons will decay as K0 Smesons. The value of the B0→K0φ branching fraction is taken to be (7.3+0.7 −0.6) ×10−6[15], while the PDG values of the Λand K0 Sbranching fractions are used [26]. The reconstruction, selection and software trigger efficiencies, as well as the acceptance of the LHCb detector, are determined from simulated samples, using data-driven correction factors where necessary. The different interaction cross-sections of the final-state particles with the detector material are accounted for using simulated datasets. For the case of the hardware trigger, the efficiency of events triggered by the signal candidate is determined from control samples of D0→K−π+and Λ →pπ−decays. The efficiency of events triggered independently of the signal candidate is determined from simulation. The agreement between data and simulation for the distributions of the variables used in the BDT is verified with the B0→K0 Sφdata. Data-driven corrections for the reconstruction efficiency of tracks corresponding to the long category are obtained from J/ ψ samples using a tag-and-probe method [34]. This is applied after a separate weighting to ensure agreement in detector occupancy between data and simulation. For measurements of the relative branching fraction of Λ0 b→Λφ to B0→K0 Sφ, the final state differs by substituting the proton from the decay of the Λwith a pion. However, due to the differences in the kinematics of the pions from the Λand the K0 Sdecays, the distinct correction factors for both daughters of the Λand K0 Sare considered. In addition to the track reconstruction efficiency, the vertexing efficiency of longlived particles contains disagreement between data and simulation. The corresponding correction factors for the long and downstream datasets are determined separately from D0→φK0 Sdecays. The yields of the Λ0 b→Λφ signal and B0→K0 Sφcontrol mode are determined from simultaneous extended unbinned maximum likelihood fits to the respective datasets divided according to the data-taking period and also according to whether the Λ (K0 S)decay products are reconstructed as long or downstream tracks. Efficiencies are applied to each dataset individually. The projections of the fit result to Λ0 b→Λφ data are shown in Fig. 2. The fitted yields are 350 ±24 and 89 ±13 for the B0→K0 Sφand Λ0 b→Λφ decay modes, respectively. The statistical significance of the Λ0 b→Λφ decay, determined according to Wilks’ theorem [35] from the difference in the likelihood value of the fits with and without the Λ0 b→Λφ component, is found to be 6.5 standard deviations. With the systematic uncertainties discussed below included, the significance of the observed Λ0 b→Λφ decay yield is calculated to be 5.9 standard deviations. The projections of the fit result to the B0→K0 Sφdata are shown in Fig. 3. The fit is found to describe the data well in all three dimensions and a clear peak from the control mode is seen. The systematic contributions to the branching fraction uncertainty budget are summarised in Table 1. The largest contributions to the systematic uncertainties result from data-driven corrections applied to simulated data along with the mass model used to determine the signal yields. Signal mismodelling is accounted for using a one-dimensional kernel estimate for the description of the simulated mass distributions [36]. Background mismodelling is accounted for using a linear function. The kernel estimate is used in both the signal and control channels to describe the Λ0 b, B0, K0 S, and Λline shapes. In order to determine the systematic uncertainties, 1000 pseudoexperiments are generated with the alternative model and are subsequently fitted with the nominal model. The average difference between the generated and fitted yield values is taken as the systematic uncertainty. This leads to uncertainties of 3.0% and 0.6% for the signal and control mode yields, respectively. Systematic uncertainties associated with the efficiency corrections from simulated datasets are considered. The limited size of the simulated sample gives rise to an uncertainty of 2.2%. The main uncertainties in the tracking and vertexing correction factors arise from the limited size of the control sample, which leads to uncertainties of 0.5% and 2.6%, respectively. For the case of the trigger efficiency, uncertainties related to the software trigger cancel between the signal and control modes, as the software trigger decision is made only on the decay products of the φmeson. Un-
The LHCb Collaboration / Physics Letters B 759 (2016) 282–292 285 Fig. 2. Fit projections to the pπ−K+K−invariant mass in the (a) long and (b) downstream datasets, the K+K−invariant mass in the (c) long and (d) downstream datasets, and the pπ−invariant mass in the (e) long and (f) downstream datasets. The total fit projection is given by the blue solid line. The blue and green dotted lines represent the φ+Λand pure combinatorial fit components, respectively. The red and magenta dashed lines represent the Λ0 b→Λφ signal and the Λ0 b→ΛK+K−non-resonant components, respectively. Black points represent the data. Data uncertainties are Poisson 68% confidence intervals. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) certainties in the efficiency of the hardware trigger selections are estimated using data-driven methods, for which an uncertainty of 2.8% is applied. The BDTs used to select signal and control modes use the same input variables. Biases could exist if the simulation mismodels these variables differently for signal and control modes. In order to quantify this effect, the control mode is selected with the same classifier as the signal decay. The difference in the measured branching fraction is found to be 4.1%. The Λ0 b→Σ0(→Λγ)K+K−and Λ0 b→pK−φdecay modes are found to be the only significant peaking background contributions. However, for the case of the Λ0 b→pK−φdecay, the resulting candidates are reconstructed in the long dataset only. With the assumption that the branching fraction for this decay is the same size as for the signal, the contribution is <1% compared to the Λ0 b→Λφ decay and far from the Λ0 bsignal region, and is therefore ignored. In order to determine the shape in the pπ−K+K−spectrum of the Λ0 b→Σ0K+K−decay, a sample of Λ0 b→Σ0K+K−simulated events is used with a requirement that the K+K−invariant mass is within 30 MeV/c2of the nominal φmass. The inclusion of an additional fit component using the shape from simulation is found to have a small effect on the signal yield at the level of 0.1%, which is assigned as a systematic uncertainty. For the case of the B0→K0 Sφcontrol mode, no peaking background contributions have been identified. The branching fraction ratio is measured to be B(Λ0 b→Λφ) B(B0→K0 Sφ) fΛ0 b fB0=0.55 ±0.11 (stat) ±0.04 (syst). The use of the world average value of B(B0→K0 Sφ) =(3.65 +0.35 −0.30) × 10−6[15] gives the final result of B(Λ0 b→Λφ)/10−6=5.18 ±1.04 (stat) ±0.35 (syst) +0.50 −0.43 (B(B0→K0 Sφ)) ±0.44(fd/fΛ0 b). 6. Triple-product asymmetries The Λ0 b→Λφ decay is a spin-1/2to spin-1/2plus vector transition. Five angles are needed to describe this decay since Λ0 b baryons may potentially be produced with a transverse polarisation in proton–proton collisions [13], as shown in Fig. 4. The angle θis defined as the polar angle of the Λbaryon in the Λ0 brest frame with respect to the normal vector defined through ˆ n= p1× pΛ0 b | p1× pΛ0 b|,(2) where p1is the momentum of an incoming proton and pΛ0 bis the momentum of the Λ0 bbaryon. The angles θΛand Λare defined as the polar and azimuthal angles of the proton from the decay of the Λbaryon in the Λrest frame. The angles θφand φare defined as the polar and azimuthal angles of the K+meson in the rest frame of the φmeson. Triple-product asymmetries, which are odd under time-reversal, have been proposed by Leitner and Ajaltouni using the azimuthal angles ni, i ∈{Λ, φ}, defined as [12]
286 The LHCb Collaboration / Physics Letters B 759 (2016) 282–292 Fig. 3. Fit projections to the π+π−K+K−invariant mass in the (a) long and (b) downstream datasets, the K+K−invariant mass in the (c) long and (d) downstream datasets, and the π+π−invariant mass in the (e) long and (f) downstream datasets. The total fit projection is given by the blue solid line. The green and blue dotted lines represent the combinatorial and K0 S+random K+K−fit components, respectively. The red and magenta dashed lines represent the B0→K0 Sφsignal and the B0→K0 SK+K− non-resonant components, respectively. Black points represent the data. Data uncertainties are Poisson 68% confidence intervals. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) Table 1 Systematic uncertainty contributions to the branching fraction ratio. Source Uncertainty (%) Mass model 3.0 Simulation sample size 2.2 Tracking efficiency 0.5 Vertex efficiency 2.6 Hardware trigger 2.8 Selection efficiency 4.1 Peaking background 0.1 Total 6.7 cosni= eY· ui,(3) sinni= eZ·( eY× ui), (4) where ui= eZ׈ ni | eZ׈ ni|.(5) The basis { eX, eY, eZ}is defined in the Λ0 brest frame, in which eZ is parallel to ˆ n, eXis chosen to be parallel to the momentum of the incoming proton, and ˆ nΛ(φ) is the normal vector to the Λ(φ) decay plane, defined through ˆ nΛ= pp× pπ | pp× pπ|,(6) ˆ nφ= pK+× pK− | pK+× pK−|.(7) Asymmetries in cosniand sinni, where i ∈{Λ, φ}, are defined as Ac i=N+,c i−N−,c i N+,c i+N−,c i ,(8) As i=N+,s i−N−,s i N+,s i+N−,s i ,(9) where N+(−),c iand N+(−),s idenote the number of candidates for which the cosniand sinniobservables are positive (negative), respectively. The asymmetries Ac,s Λand Ac,s φare determined experimentally through a simultaneous unbinned maximum likelihood fit to datasets in which the relevant observables are positive and negative. The fit construction and observables are identical to that used for the branching fraction measurement. However, the yields for each dataset are parametrised in terms of the total yield, Nj, and the asymmetry, Aj, for fit component jas N+ j=Nj 2(1+Aj), (10) N− j=Nj 2(1−Aj). (11) Distributions of the sin n(Λ,φ) and cos n(Λ,φ) observables from Λ0 b→Λφ data have been extracted using the sPlot method [37] and are provided in Fig. 5. The numerical values of the fitted asymmetries are given in Table 2. Mismodelling of the mass components could lead to background contamination in the determination of the asymmetries. In
The LHCb Collaboration / Physics Letters B 759 (2016) 282–292 287 Fig. 4. Decay angles for the Λ0 b→Λφ decay, where the angles are defined in the text. Fig. 5. Distributions of the angular observables: (a) sin nΛ,(b)cosnΛ,(c)sinnφ,(d)cosnφfrom weighted Λ0 b→Λφ data. Table 2 Asymmetries measured from Λ0 b→ Λφ data events. Asymmetry Fit value Ac Λ−0.22 ±0.12 As Λ0.13 ±0.12 Ac φ−0.01 ±0.12 As φ−0.07 ±0.12 the determination of the uncertainty related to the mass model, two contributions are considered. These are the line shape models and the background asymmetries. The effects of the line shapes are quantified using the same method as the branching fraction measurement, i.e. the generation of datasets with a one-dimensional kernel estimate of the simulation mass distributions in addition to modification of the background description. In the nominal fit, components that are not from the Λ0 b→Λφ signal have zero asymmetries. For background components this is justified due to the uncorrelated kinematics of the K+K−and pπ−systems. However, the non-resonant Λ0 b→ΛK+K−contribution could have non-zero asymmetries. The systematic uncertainty due to the assumption of zero background asymmetries is determined through comparing the nominal fit against the fit with all possible asymmetries allowed to vary freely. Efficiencies are found to be independent of the sinniand cosniobservables. The systematic uncertainty due to the angular acceptance is then taken from the statistical uncertainty in fits to the simulated datasets, after the application of an appropriate weighting to account for the differences between data and simulation. The resolutions of the angular observables are found from simulated events to be 32.3 mrad and 22.1 mrad for the nΛand nφangles, respectively. The uncertainty due to bin migration is then assigned assuming maximal asymmetry and leads to minor uncertainties of 0.007 for the nφangle and 0.010 for the nΛ
288 The LHCb Collaboration / Physics Letters B 759 (2016) 282–292 Table 3 Systematic uncertainty contributions to the triple-product asymmetries. Source Ac ΛAs ΛAc φAs φ Mass model 0.061 0.051 0.026 0.009 Angular acceptance 0.010 0.010 0.010 0.010 Angular resolution 0.008 0.008 0.005 0.005 Total 0.062 0.053 0.028 0.014 angle. Systematic contributions to the triple-product uncertainty budget are summarised in Table 3. 7. Summary A search for the Λ0 b→Λφ decay is presented based on a dataset of 3.0fb −1collected by the LHCb experiment in 2011 and 2012. The decay is observed for the first time with a significance of 5.9 standard deviations including systematic uncertainties. The branching fraction is found to be B(Λ0 b→Λφ)/10−6=5.18 ±1.04 (stat) ±0.35 (syst) +0.50 −0.43 (B(B0→K0 Sφ)) ±0.44(fd/fΛ0 b). Triple-product asymmetries are measured to be Ac Λ=−0.22 ±0.12 (stat) ±0.06 (syst), As Λ=0.13 ±0.12 (stat) ±0.05 (syst), Ac φ=−0.01 ±0.12 (stat) ±0.03 (syst), As φ=−0.07 ±0.12 (stat) ±0.01 (syst), and are consistent with zero. Data collected by the LHCb experiment in the forthcoming years will improve the statistical precision of these measurements and enable the dynamics of b →s transitions in beauty baryons to be probed in greater detail, which will greatly enhance the reach of searches for physics beyond the SM. Acknowledgements We express our gratitude to our colleagues in the CERN accelerator departments for the excellent performance of the LHC. We thank the technical and administrative staff at the LHCb institutes. We acknowledge support from CERN and from the national agencies: CAPES, CNPq, FAPERJ and FINEP (Brazil); NSFC (China); CNRS/IN2P3 (France); BMBF, DFG and MPG (Germany); INFN (Italy); FOM and NWO (The Netherlands); MNiSW and NCN (Poland); MEN/IFA (Romania); MinES and FANO (Russia); MinECo (Spain); SNSF and SER (Switzerland); NASU (Ukraine); STFC (United Kingdom); NSF (USA). We acknowledge the computing resources that are provided by CERN, IN2P3 (France), KIT and DESY (Germany), INFN (Italy), SURF (The Netherlands), PIC (Spain), GridPP (United Kingdom), RRCKI and Yandex LLC (Russia), CSCS (Switzerland), IFIN-HH (Romania), CBPF (Brazil), PL-GRID (Poland) and OSC (USA). We are indebted to the communities behind the multiple open source software packages on which we depend. 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