Neutrino Oscillation Search at MiniBooNE 7 0 Z. Djurcic∗ for the MiniBooNE Collaboration a† 0 2 aColumbia University, New York, NY 10027, USA n a This article reports the status of a νµ → νe oscillation search in MiniBooNE (Booster Neutrino Experiment) J experiment. If an appearance signal is observed, it will imply Physics Beyond the Standard Model such as the 0 existenceof light sterile neutrino. 1 1 v 1. INTRODUCTION 2. THE EXPERIMENT 7 1 In recent years, the solar-neutrino [1], reactor- MiniBooNE is a fixed target experiment cur- 0 1 neutrino [2], atmospheric-neutrino [3], and rently taking data at Fermi National Accelera- 0 accelerator-neutrino [4] experiments have con- tor Laboratory. The neutrino beam is produced 7 firmed the existence of neutrino oscillations. from 8.89 GeV/c protons impinging on a 71 cm 0 These results implied the existence of two inde- long and 1 cm diameter beryllium target. The x/ pendent ∆m2 regions, with ∆m2 ∼8×10−5eV2 target is located inside a magnetic focusing horn e in the solar, and with ∆m2 ∼ 3 × 10−3eV2 in that increases the neutrino flux at the detector p- the atmospheric sector. The Standard Model in- by a factor of ∼5, and can operate in both neg- e corporates two separate oscillation regions with ative and positive polarities for ν and ν¯ running. h three known neutrino flavors: ν , ν , and ν . MiniBooNEcollectedapproximately6×1020pro- e µ τ : v However, an unconfirmed evidence for neutrino tons on target (POT) in neutrino mode. This i oscillations came from the LSND [5] experiment data sample is currently used in the neutrino os- X with ∆m2 at ∼ 1eV2 value. The discovery of cillation analysis. Mesons produced in the target r a nonzeroneutrinomassesthroughtheneutrinoos- decay-in-flight in a 50 m long decay pipe. The cillations has raised a number of very interesting neutrinobeamiscomposedofν fromK+/π+ → µ questions about the neutrinos and their connec- µ+ +ν decays. The neutrino beam propagates µ tions to other areas of physics and astrophysics. througha450mofadirtabsorberbeforeentering One question is whether there are sterile neutri- thedetector. Thereisasmallcontaminationfrom nos that do not participate in the standard weak ν . The processesthat contribute to the intrinsic e interactions. This question is primarily being ν inthebeamareµ+ →e+ν ν¯ ,K+ →π0e+ν , e e µ e addressed by the MiniBooNE experiment. The and K0 → π±e±ν . Early in 2006, MiniBooNE L e MiniBooNEexperimentwillconfirmorrefutethe switched the polarity of the horn to select nega- LSND result with higher statistics and different tive sign mesons. sourcesofsystematicerror. IftheLSNDneutrino The MiniBooNE detector is a 12.2 m diame- oscillationevidence is confirmed, it will, together terspherefilledwith800tonsofpuremineraloil. with solar, reactor, atmospheric and accelerator ThecenteroftheMiniBooNEneutrinodetectoris oscillation data, imply Physics Beyond the Stan- positioned L=541m fromthe front ofthe beryl- dard Model such as the existence of light sterile lium target. The vessel consists of two optically neutrino [6]. While LSND observed an excess of isolated regions divided by a support structure ν¯ events in a ν¯ beam, MiniBooNE is a ν →ν located at 5.5 m radius. The inner volume is e µ µ e search. the neutrino target region, while the outer vol- ume forms the veto region. There are 1280 8- ∗Email address: [email protected] inchphoto-tubes (PMTs)pointedinwardprovid- †MiniBooNEExperimentissupportedbyNSFandDOE. 1 2 ing 10% coverage, and 292 outward-faced PMTs trino induced events are identified by requiring in the veto region. Data analysis require a fidu- that the event is observed during the beam spill, cial volume cut at 500 cm from the center of the have fewer than 6 veto PMT hits, and greater tank to ensure good event reconstruction, result- than200tankPMThits. Thesesimplecutsyield ing in a 445 ton target region. The outer volume a cosmic ray rejection that is better than 1000:1. serves as a veto shield for identifying particles The MiniBooNE detector is calibrated using a both entering and leaving the detector. The rate laser system, cosmic rays and neutrino interac- ofneutrinocandidatesperprotondeliveredtothe tions. The calibration procedures cover the full target was constant (1.089×10−15 ν/POT) over energy range from 50 to 1000 MeV using differ- the period of data acquisition, as demonstrated ent event types. Stopping cosmic ray muons are inFigure1. ProtonsdeliveredtotheMiniBooNE used to calibrate the energy scale for muon-type eventsandmeasurethepositionandanglerecon- struction resolution, when their path length can be identified. This is accomplishedwithascintil- lator hodoscope on the top of the detector, com- binedwithscintillationcubesatvariouspositions within the detector volume. Analysis of the cos- mic muons indicates that the energy and angle resolutionofmuonsis10%and6.4o,respectively. Observed Michel electrons from muon decay are usedtocalibratetheenergyscaleofelectron-type events at the 52.8 MeV Michel endpoint, with 12% resolution. Reconstructedπ0 events provide anotherelectron-likecalibrationsource. Thepho- tons thatareemitted inπ0 decaysspana consid- erablerangetoover1000MeV. Theπ0 massde- rived from reconstructed energies and directions oftwoγ-rayshasapeakat136.3±0.8MeV. The resolution on the reconstructed π0 mass peak is 20 MeV. This is in an excellent agreement with the135.0MeV expectation,providingacheckon the energy scale and the reconstruction over the Figure 1. Calibratedneutrino rate per proton on fullenergyrangeofinterestfortheν appearance e target. analysis. 3. NEUTRINO FLUX, CROSS SEC- targetaremonitoredbytwotoroidslocatedinthe TION,ANDDETECTORMODELING beam line. The main MiniBooNE trigger is an accelerator signal indicating a beam spill. Every ThefluxmodelingusesaGeant4-basedsimula- beam trigger opens a 19.2 µs window in which tionofbeamlinegeometry. Hadronproductionin all events are recorded. Other triggers include thetargetisbasedonSanford-Wangparametriza- a supernova trigger, a random strobe trigger for tion of p−Be cross-section,with parameters de- beam-off measurements, a laser calibration trig- terminedbyaglobalfittop−Beparticleproduc- ger,cosmicmuontriggers,andatriggertorecord tion data. Simulated neutrino flux has an energy neutrino events from the NuMI beam line. distribution with a peak at ∼ 0.7GeV. There- Theinteractionpoint,eventtime,energies,and fore, the average L/E ratio is ∼ 0.8km/GeV ν the particle tracks are recorded from the times compared to LSND’s L/E ∼1km/GeV. ν andchargesofthePMThitsinthedetector. Neu- The NUANCEv3 [7] event-generator simulates 3 interactions in the detector. The cross section model describes the various neutrino interaction 2 2500 processes on CH2, which include the Llewellyn- /c Smith free nucleon quasi-elastic cross section, V Monte Carlo Simulation e the Rein-Seghal resonant and coherent pion pro- M2000 NC p0 duction cross section, a Smith-Moniz Fermi gas 5 Data / model, and final state interactions based on π- s t Carbon scattering data. n1500 e The MiniBooNE detector is modeled using an v E extended GEANT3-based simulation. An ex- tended light propagation model of the detector 1000 describes the emission of optical and near-UV photons via Cerenkov radiationand scintillation. 500 Each photon is individually tracked, undergoing scattering, fluorescence, and reflection, until it is absorbed. The response of the electronics to 0 thephotoelectronsresultingfromphotonshitting 0 50 100 150 200 250 300 350 400 450 500 PMT’s is simulated, with the final output be- Reconstructed Mass (MeV/c2) ingdigitizedwaveformssimulatingthechargeand timechannelsoftheelectronicsinaformidentical to that used for data. Figure 2. (Preliminary) Mass distribution of π0 4. THE BACKGROUNDS IN THE AP- candidates obtained using a two ring likelihood PEARANCE SIGNAL fit. The data are the black points, the black line is Monte Carlo simulated neutrino interactions, The signature of an oscillation event is the while the red line is the subset of these events ν + n → e + p reaction. The backgrounds in e which have at least one pi0 in the final state. the oscillation analysis are divided in two main categories: intrinsic ν events in the beam, and e ν events that are mis-identified as ν events. µ e Thebeamthatarrivesatthedetectorisalmost pure ν with a small (0.6%) contamination of ν the decay of π0 can appear much like primary µ e coming from muon and kaon decays in the de- electron emerging from a ν charged current in- e cay pipe. The ν from µ-decay are directly tied teraction if one of the gammas from the decay e to the observed ν interactions. Taking into ac- overlaps the other, or is too low in energy to be µ count a small solid angle subtended by the Mini- detected. Over 99% of the NC π0 are rejected in BooNEdetector,thepionenergydistributioncan the appearance analysis. In addition to its pri- bedeterminedfromtheenergyoftheobservedν mary decay ∆ → π N, the ∆ resonance has a µ events. Thepionenergyspectrumisthenusedto branchingfractionof0.56%totheγ N finalstate. predict the ν from µ-decay. A second source of Theγ-raymaymimicanelectronfromν interac- e e νe originates from Ke3-decay. This component tion. Therateof∆productioninneutralcurrent is constrained using high energy ν charged cur- interactions can be estimated from the data, us- µ rent quasi-elastic (CCQE) events, that originate ing the sample of reconstructed π0 decays. Most primarily from kaon decays. ν events can be easily identified by their pene- µ Mis-identified ν events are π0, ∆-decays, and tration into the veto region when exiting muons µ ν CCQE events. Most π0 are identified by the fire the veto, or by muons stopping in the inner µ reconstructionoftwoCerenkovringsproducedby detector and producing a Michel electron after a twodecayγ-rays,asshowninFigure2. However, few microseconds. 4 5. SIGNAL SEPARATION FROM THE electrons following the primary interaction, and BACKGROUND requiringthevetotohavelessthansixhitstoen- sure there is no cosmic muon contamination and Particle identification (PID) is performed by the tank to have greater than 200 hits to sup- different algorithms that use the difference in press decay electrons from cosmic muons. The characteristics of the Cerenkov and scintillation events are then fit under the single electron and lightassociatedwithelectrons,muons,protonsor muon ring hypotheses and a ratio is formed with π0’s, as shown in Figure 3. These algorithms in- the resulting likelihoods. Events with likelihood ratios favoring the muon hypothesis are rejected. The eventis thenfitwithtworingfits,bothwith the mass free and fixed to the nominal π0 mass. In the case from Figure 3, separationbetween π0 1 02000 Monte Carlo Simulation s/0.1800 NC p0 nt1600 Data e v E1400 1200 1000 800 600 400 200 0 -0.5 -0.4 -0.3 -0.2 -0.1 0 log(L/Lp) e Figure4. (Preliminary)Thelogarithmofthelike- Figure 3. Cartoon showing how particle identifi- lihood ratio formed from fitting neutral current cation acquire an input from the Cerenkov rings. π0candidatesunderasingleelectronringhypoth- From the top to the bottom, the rings are: an esis and a two ring hypothesis. The data are the ideal particle, an electron, a stopping muon, and black points, the black line is Monte Carlo sim- π0. ulated neutrino interactions, while the red line is the subsetoftheseeventswhichhaveatleastone π0 in the final state. cludeamaximumlikelihoodmethodandboosted decision trees [8]. Figure 4 shows the logarithm of the likelihood ratio formed from fitting neu- and ν candidates is achieved. Similar PID sep- e tralcurrentπ0 candidatesunderasingleelectron arationis performedbetweenelectronsand other ring hypothesis and a two ring hypothesis where typesofdetectedevents. Anexampleofaboosted the kinematics are fixed to give the nominal π0 decisiontreewherethemuon/electronseparation mass. Electron-likeeventsshouldhavelargerpos- wasmeasuredwith cosmicraymuons andassoci- itive values, while π0’s should have negative val- ated electrons is given in [9]. The PID removes ues. Theeventsareselectedbyrequiringnodecay ∼ 99.9% of ν CCQE interactions, ∼ 99% ef- µ 5 fective π0 producing interactions, and preserves Table 1 a high efficiency for ν interactions. An opti- The MiniBooNE analysis is verified by different e experimentalcross-checksforeacheventclassrel- mized PID is expected to allow a small contami- nation of an oscillation signal with mis-identified evant to νe appearance search. π0 (∼ 83%), ∆-decays (∼ 7%) , and ν CCQE K+ HARP [10], External Data µ events (∼10%). MiniBooNE Data K0 E910 [11], External Data MiniBooNE Data µ MiniBooNE Data π0 NuMI, MiniBooNE Data Other (∆, etc) NuMI, MiniBooNE Data 6. BLIND ANALYSIS STRATEGY AND CROSS-CHECKS 7. REMAINING STEPS IN THE OSCIL- MiniBooNE is conducting a blind analysis in LATION SEARCH order to complete an unbiased oscillation search. That means that the regionwhere the oscillation Whenthefinalsetofthe analysiscutsisdeter- νe candidates are expected is closed for the anal- mined and associated systematics evaluated, the ysis. In the example given in Figure 4, the mass data sample that potentially contains the oscilla- from the fit is required to be greater than 50 tion candidates will be un-blinded. The compo- MeV/c2. The likelihood ratio of the single elec- sition ofthe finalsample will be predicted by the tronfitandthefixedmasstworingfitisrequired MiniBooNEMonteCarlosimulation,withMonte to favor the π0 hypothesis. The latter two re- CarlosamplefilteredthroughthesamesetofPID quirementsareforblindness, inorderto keepthe cuts. IfMiniBooNEconfirmstheLSNDresult,an regionwithpotentialoscillationνecandidatesout excess of events in the data distributions when oftheanalysisreachuntilthefinalsetofselection compared to Monte Carlo will be observed. The cutsisformedandthePIDisoptimized. Inprac- final event sample will be evaluated using a χ2 tice, the MiniBooNE analysis cannot use its own function datatoverifyPIDalgorithmswithanoscillation- likeν datasample. However,animportantcross- χ2 =X(Oi−Pi)(Cij)−1(Oj −Pj), (1) e check of electron event reconstruction and par- i=1 ticle identification comes from NuMI events ob- applied to the data and Monte Carlo energy dis- served in the MiniBooNE detector. Neutrinos tribution of the oscillation candidates. O is the i produced by the decay of mesons moving along number of observedevents in an energy bin i. P i the NuMI beamline and in the vicinity of the is the Monte Carlo prediction that takes into ac- NuMI target may reach the MiniBooNE detec- count oscillation parameters (sin22θ,∆m2). The tor. NuMI events consist of ν , ν , π±, π0 and covariance matrix C account for the statistical e µ ij ∆ over the range of energies relevant to the ap- and systematic uncertainties in the energy bins. pearanceanalysis. Akaonandnon-kaonfractions Systematic errors are associated with neutrino in NuMI Monte Carlo are extracted from a fit to flux, neutrino cross sections, and the detector the data. Such Monte Carlo is then compared model. to our Monte Carlo prediction. The NuMI sam- The flux prediction has the uncertainties cor- ple therefore allows an independent check of the responding to the production of π, K, and K L MiniBooNE PID algorithms performance in iso- particles in the MiniBooNE target. These un- lating ν . Other important checks are performed certaintiesarequantifiedbyafittoexternaldata e witheitherMiniBooNEorexternaldata. Acom- setsfrompreviousexperimentsonmesonproduc- plete list of cross-checksis given in Table 1. tion. The cross section uncertainties are eval- 6 uated by continuously varying underlying cross Ahmed et al., Phys. Rev. Lett. 89, (2002) sectionmodelparametersintheMonteCarlocon- 011301.; S.N. Ahmed et al., Phys. Rev. Lett. strained by MiniBooNE data. Uncertainties on 92, (2004) 181301. theparametersmodelingtheopticalpropertiesof 2. K. Eguchi et al., Phys. Rev. Lett. 90, (2003) theoilintheMiniBooNEdetectorareconstrained 021802.;K.Eguchietal.,Phys.Rev.Lett.94, by a fit to the calibration sample of Michel elec- (2005) 081801. trons. Theuncertaintiesarecurrentlybeingeval- 3. S.H. Hirata et al., Phys. Lett. B 280 (1992) uated. 146.; Y. Fukuda et al., Phys. Lett. B 335 (1994)237.;S.Fukudaetal.,Phys.Rev.Lett. 81 (1998) 1562. 8. CONCLUSION 4. M.H. Ahn et al., Phys. Rev. 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