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2. Present Understandings
Solar, Kamland MSW-LMA Atmospheric Oscillation! Decay, decoherence LSND and Sterile
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Solar neutrinos (Non-historical)
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Neutrino Production in the Sun
Light Element Fusion Reactions p + p 2H + e+ + e 99.75 % p + e- + p 2H + e 0.25 % 3He + p 4He + e+ + e ~10-5 % 7Be + e- 7Li + e 15 % 8B 8Be* + e+ + e 0.02 %
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Types of Experiments Radio-Chemical
ft-value of b decay can give cross sections with a few % accuracy n +A(Z,,N)→e + A’(Z+1,N-1) Give rates 37Ar(g.s.) - 37Cl = 0.816MeV Convenient Ar life time (t = 35 days) 71Ge(g.s.)-71Ga=0.233MeV electron capture (t = days)
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Real time measurements
Water Cherenkov Super-Kamiokande n +e → n + e well defined by standard model s (ne) ; s (nm,nt)=1:1/6 forward peaked Heavy water Cherenkov :SNO n + e → n + e Same as water n + d → e + p + p (CC) measure ne component, slightly backward peaked n + d → n + p + n (NC) same cross section for all neutrinos, thermalized neutron capture,
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Sudbury Neutrino Observatory
2092 m to Surface (6010 m w.e.) PMT Support Structure, 17.8 m cm PMTs ~55% coverage within 7 m Acrylic Vessel, 12 m diameter 1000 tonnes D2O 1700 tonnes H2O, Inner Shield 5300 tonnes H2O, Outer Shield Urylon Liner and Radon Seal Energy Threshold = MeV
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Neutrino Reactions in SNO
Produces Cherenkov Light Cone in D2O CC n + d p + p + e− e Q = MeV good measurement of ne energy spectrum some directional info (1 – 1/3 cosq) ne only n captures on deuteron 2H(n, g)3H Observe 6.25 MeV g NC x n + p d Q = 2.22 MeV measures total 8B n flux from the Sun equal cross section for all n types n + + Produces Cherenkov Light Cone in D2O ES e− n e− x x low statistics mainly sensitive to ne, some n and n strong directional sensitivity
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Shape Constrained Signal Extraction Results
CC 1967.7 +61.9 +60.9 +26.4 +25.6 ES 263.6 +49.5 +48.9 NC 576.5 #EVENTS
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Shape Constrained Neutrino Fluxes
Signal Extraction in FCC, FNC, FES with E > MeV Fcc(ne) = (stat.) (syst.) x106 cm-2s-1 +0.06 -0.05 +0.09 -0.09 Fes(nx) = (stat.) (syst.) x106 cm-2s-1 +0.24 -0.23 +0.12 -0.12 Fnc(nx) = (stat.) (syst.) x106 cm-2s-1 +0.44 -0.43 +0.46 Signal Extraction in Fe, Fmt
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SNO NC in D2O (April 2002) ~ 2/3 of initial solar ne are observed at SNO to be nm,t Flavor change at 5.3 s level. Sum of all the fluxes agrees with SSM. FSSM = 5.05 +1.01 - 0.81 106 cm-2 s-1 FSNO = 5.09 +0.46 -0.43 +0.44 -0.43 106 cm-2 s-1 Phys. Rev. Lett. 89 (2002)
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What have been clarified
NC measurement confirmed main sequence star calculation SNO-NC = SSM calc. = . electron neutrino component for >5MeV reduced to ~35% of SSM
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The Solar Neutrino deficiencies
Experiment Exp/SSM SAGE+GALLEX/GNO Homestake Kamiokande+SuperK 0.47 SNO CC We need survival probabilities of 8B: ~1/3 7Be: <1/3 pp: ~2/3 Hard to accommodate by vacuum oscillation
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Definition of mixing angle and components
Define n1, n2 such that m2 > m Dm2 >0 Small angle solution n1~ne, n2 ~ nx Large angle solution q>45o cos2q <0 equivalently negative Dm2 Ares (>0) =Dm2 cos2q is not realized Matter effect determine sign of (m22-m12)
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MSW in the Solar neutrinos
In(Dm2) m2 n2 m1 In(sin2q) Matter in earth may regenerate ne more events in the night!
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Matter-Enhanced Neutrino Oscillations
Pee Spectrum Neutrinos produced in weak state e High density of electrons in the Sun Superposition of mass states 1, 2, 3 changes through the MSW resonance effect Solar neutrino flux detected on Earth consists of e + m,t Day/night Spectrum
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Super-Kamiokande Known 8B- b decay spectrum predict spectrum of neutrinos Spectrum distortion Day-Night comparison
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Bad fit for SMA and Just-so(vacuum oscillation) solutions.
(0.75, 6.310-11eV2) Justso (6.310-3, 510-6eV2) SMA (0.8, 3.210-5eV2) LMA Bad fit for SMA and Just-so(vacuum oscillation) solutions.
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Energy distribution for day/night-6bins
Z mantle core Day MAN5 CORE MAN4 MAN3 MAN2 MAN1 SK SK 1258 days kt SSM = BP new B8 spec. (Preliminary)
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zenith spectrum shape alone using SSM 8B flux prediction
SK Constraint on mixing parameters zenith spectrum shape alone using SSM 8B flux prediction Excluded Regions Allowed Regions Phys. Lett. B (2002) 179
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391-day salt phase flux measurements
vertex SSM 68%CL SNO NC 68%CL SNO CC 68%CL SNO ES SK ES cosqsun ~ isotropy CC NC
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global solar data with 391-day SNO salt
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Kamland
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KamLAND detector Photo - coverage: 34% ~ 500 p.e. / MeV 13m 1000m
Cosmic ray 's are suppressed by 1/100,000. 20 inch : 225 13m 1,000 ton liquid scintillator Dodecane : 80% Pseudocumene : 20% PPO : 1.5g/l Mineral oil Dodecane : 50% Isoparaffin : 50% 1.75m thickness KamLAND is located 1000m underground in Kamioka mine, and muon event rate is about 0.34Hz. The detector consist of 1000 tons of ultra-pure liquid scintillator and 1879 PMTs 17 inch :1325 20 inch : 554 ~8000 photons / MeV λ: ~10m Photo - coverage: 34% ~ 500 p.e. / MeV
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e e- Greatly removes backgrounds ν detection in KamLAND e+ Position
e+ + n e (0.51) Prompt e+ signal e e- e+ Te++annihilation =Eν - 0.8MeV Te+ p E1.8MeV (0.51) n (2.2 MeV) p Delayed γ by neutron capture ~210μs Position Time correlation delayed energy information Neutrinos are detected by the inverse beta-decay reaction. Space and time correlations of prompt and delayed signal provide effective background reduction. d Greatly removes backgrounds
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Reactors near the KamLAND
80% of total contribution comes from 130~220km distance effective distance ~180km This map shows the location of the Japanese power reactors and KamLAND. And this figure shows distances from KamLAND to reactors and thermal power of reactors. 80% of total contribution comes from 130 ~ 220km distance. KamLAND group also calculate effects from reactors of other countries, Taiwan effect is about 0.1% Reactor neutrino flux, ~95.5% from Japan ~3% from Korea (2nd result period)
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Energy Spectrum This figure shows energy spectra of KamLAND data, no oscillation expected, scaled no oscillation expected, and backgrounds. From the hypothesis test of scaled no-oscillation, spectral distortion is 99.6% confidence level. And we use rate with shape information, no oscillation is excluded at % confidence level. Hypothesis test of scaled no-oscillation: χ2/ndf = 37.3/18 ⇒ spectral distortion at > 99.6% C.L. Rate + Shape: no oscillation is excluded at % C.L.
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L/E plot with data for geo-ν analysis
(759 days, 5m fiducial) low energy window best fit reactor + geo-neutrino model prediction Oscillation pattern with real reactor distribution Lo = 180 km is used for KamLAND There is clear Oscillatory behavior (peak and dip) oscillation parameter is determined.
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q12 -Solar(ne) and Reactor(ne) Neutrino -
hep-ex/
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Two mass eigen-states have Dm2 ~8x10-5 eV2
Lighter mass state contain ne more than 50% 8
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Atmospheric Neutrinos
Mixture of ne, ne, nm & nm Primary cosmic rays nm+nm flux nm (protons, He, , ,) 3D calculation L=10~20 km p, K m En(GeV) nm e p→m+nm →e+nm+ne Flux ratio Low EnergyLimit nm : ne = 2 : 1 ne nm nm+nm ne+ne 2 En(GeV)
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Event topology ne + N e + X nm + N m + X nt + N t + X PC
FC PC Initial neutrino energy spectrum Stopping muons Through-going muons FC + PC Interaction in the rock stopping muons through-going muons
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A half of nm lost!
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p=1 GeV/c, sin2 2q=1 Dm2=310–3(eV/c2)2
Earth ~6000 km Survival Probability p=1 GeV/c, sin2 2q=1 Dm2=310–3(eV/c2)2 Half of the up-going ones get lost
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Cross Section of nt interacts very weakly with matter (nucleons) due to threshold effect of charged lepton mass Disappearance of neutrinos if nm→nt in atmospheric n nm CC nt CC En(GeV)
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SK-I Zenith angle distributions (w/ 100yr MC)
SK-I Atmospheric n Full Paper hep-ex/ 1R e 1R m MR m up-m <400MeV <400MeV sub-G stopping 1R e 1R m MR m up-m Number of events >400MeV >400MeV multi-G through 1R e 1R m cosQ data PC CR MC F? s? multi-GeV multi-GeV w/ oscillation fit cosQ cosQ cosQ up down
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L/E analysis and Parameter determination
All the data 1489.2days Data/prediction 100 1000 L/E (km/GeV) Rejected events horizontally going events: due to large dL/dcosq low energy events: due to large qnm angle Guide line L/E (km/GeV) Data/prediction 2726 events (3726 ev. expected) ~ 1 /5 of total data
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Result of L/E analysis (SK-I)
The first dip has been observed at ~500km/GeV This provide a strong confirmation of neutrino oscillation The first dip observed cannot be explained by other hypotheses days FC+PC Decoherence Decay (%) Resolution Cuts vs Dc2 Dc2 Mostly PC through-going Decay rejected at 3.4 sigma Decoherence rejected at 3.8 sigma Oscillation 3.4 s to decay 3.8 s to decoherence
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Constraint on the neutrino oscillation parameters from L/E analysis
Best Fit (Physical Region) Dm2=2.4x10-3,sin22q=1.00 c2min=37.8/40 d.o.f. (sin22q=1.02, c2min=37.7/40 d.o.f) Dm2 Allowed region 1.9x10-3 < Dm2< 3.0x10-3 eV2 0.90 < sin22q Consistent with the standard zenith angle analysis 1.5x10-3 < Dm2 < 3.4x10-3 eV2 0.92 < sin22q
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nm →Sterile ?
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matter effect in the earth for sterile neutrinos
PC, Evis>5GeV <Eν>~25GeV up/down ratio ns ns Z νμーνs νμーνs n νμーντ νμーντ up through going μ <Eν>~100GeV vertical/horizontal ratio n Compare high-low energy events
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Three Flavor Mixing in Lepton Sector
mass eigenstates Weak eigenstates m1 ne m2 nm nt m3 cij = cosqij, sij=sinqij Atm. Sol. q12, q23, q13 + d (+2 Majorana phase) Dm122, Dm232, Dm132
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q13
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CHOOZ 425 GWth L=1km 5t Liquid Scintillator H richparaffin
Gd loaded (g 8MeV) sin22q13 <0.10 9° 90%CL sin22q13 <0.17 12°
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Two mass eigen-states have Dm2 ~8x10-5 eV2 Define n1, n2 such that
mn2 > mn1 Solar n MSW in neutrino (not anti-neutrino) n1 is the largest component in ne Third mass eigen-sate (n3) is separated by Dm2 ~ ±3x10-3 eV2 Small ne component in n3 (n3 consists of nm, nt, almost 50;50) which is larger in nt ? (q23<p/4 ?) neutrino mass and charged lepton mass ordering same or inverted 8 atm. 3x10-3eV2
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LSND/KARMEN Experiment
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The LSND Experiment View of the PMTs inside
the detector vessel. (Vessel is filled with scintillator oil.)
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Decay at Rest (DAR) Signal Prompt e+ Delayed g from n-capture
Small intrinsic ne contamination few x 10-4
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Gamma Ray Distribution
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LSND Final Results
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ISIS and KARMEN
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KARMEN Distributions
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KARMEN and LSND
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‘Evidence’ of oscillations Cannot be accommodated in three neutrinos
sin2 2q Dm2 (eV2) nmne nenm,nt nmnt (m22 –m12) +(m32 –m22)+ (m12 –m22)=0 ; need more than 3 mass eigen-states number of neutrinos, which couple to Z is 3 Sterile n or exotics or faulty experiment First, existence of the LSNDeffect…..
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MiniBooNE Overview
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MiniBooNE Flux
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Approximate number of events and Background expected in MiniBooNE
nm Charged Current, Quasi-elastic 500,000 events Intrinsic νe (from K&μ decay) : events Background π0 mis-ID: events (Neutral Current Interaction) Other νμ mis-ID: events Signal LSND-like nmne signal: events
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Particle Identification: m, e, and p0
Neutrino interactions in oil produce: Prompt Čerenkov light in a cone centered on the track. Delayed scintillation light distributed isotropically. Čerenkov to scintillation ratio ~ 4 to 1 Particle ID is based on ring fuzziness, track length, ratio of prompt/late light. Fuzzy rings distinguish electrons from muons. p0 look like 2 electrons (usually) Short Exiting
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Sensitivity to a Signal
Mis-ID Intrinsic νe Δm2 = 1 ev2 Δm2 = 0.4 ev2
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Present constraints Dm13, q13 Dm12, q12 Dm23, q23 SK Atm n K2K
Reactor K2K SK Atm n K2K Dm122 (10-5eV2) sin22q13<~0.15 (q13<~10deg) @Dm13~2.5x10-3eV2 Dm13 unknown sin22q23 > 0.93 2.1 < Dm232 < 3.0×10-3eV2 (SK Zenith 90%CL)
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