τ detection and ν oscillation
Gaston WILQUET
Symposium in honorem Prof. Jean SACTON Brussels, 7 - 8 September 2000 Contents
• The neutrino identity (brief) • Limits on neutrino masses • Neutrino oscillation phenomenology (brief) • Status of search for neutrino oscillation
• OPERA : search for νµ⇔ντ oscillation in LBL accelerator experiment (refer to K.Niwa’s talk) • The neutrino mass and the mass budget of the Universe (if time allows) The Standard Model neutrino
• The electron-neutrino νe is the massless, chargeless, colourless, spin 1/2, partner of the electron in the left handed SU(2) × U(1) lepton doublet
• Neutrinos also exist in 3 families like the other fermions (measured at LEP from the width of the Z0; why? why 3?)
νννe µτ −−− e LLL µτ • The lepton numbers Le , Lµ , Lτ are conserved independently B.R.(µγ− →<× e−− ) 51011 • Only ννLR and have CC and NC weak interactions (P conservation is fully violated)
• If they exist, RL and are sterile νν
Massless ν and ν are distinct by their observable helicity ≡ invariant chirality
Massless neutrinos may not be overtaken and their spin cannot be flipped What if neutrinos have (even tiny) mass Dirac or Majorana neutrinos?
− • νβ+ emitted in decay has vν may be overtaken and undergo spin flip → − + • Is it different from the − emitted in decay? They only differ by L If yes: Dirac neutrinos, like other fermions, distinguished by L =±1 eigenvalues νβ If no : Majorana neutrinos, νν≡ apparent distinction is artefact of - their V-A interactions - the difficulty to "flip spin" ν Limits on the neutrino masses: 1/ Direct measurements from decay kinematics ν • @%C.L.95 m..eVe < 22− 2 3 33 − from end of E − spectrum in HHee→++ ν e e (Troitsk and Mainz experiments, 2000) • mkeV<170 @%C.90L νµ µ ++ from E + in πµν→ µ (Assagam et al, PSI, 1996) • @%C.L90 m.MeVντ <18 2 ±± from phase space in → 35() ττ()ν (LEP -ALEPH 2000) τπν Limits on the neutrino masses: 2/ Big Bang cosmology 10 2 •≈×≈ At T210K2MeVm ν (t1kT0.25s) =() ≈ νγ γνν and / decouple ννγγ : +↔+ νγ nn≈ TT≈ • Taking account of - the thermodynamics of fermions/bosons - the adiabatic expension of the univers +− + − - γγγ and e/e decouple: e+↔+ e at T ≈ me ≈ 0.5eV 3 n03==n(03 412cm− ) = 113 cm− at present epoch ν 11 γ 4 1 T21o ===≈( )3 T0 ( 2.73 K ) 1.9 K × 0eV−4 ν 11 γ νν ν -4 • Yet undetected primeval neutrinos are non-relativistic if mν >10 eV 2 003H0 − 3 m×≈ n = ρρ meV≤ 60 ∑ νi i Limits on the neutrino masses: 3/ Supernovae SN1987A • February 23, 1987, 7h33 UT, 23 neutrino interactions in 3 underground experiments (Kamiokande, Japan; IMB, Ohio; Baksan, Caucase) in 12.3 s time gate • SN1987A: death of Sanduleak in LMC at 150 000 ly 46 58 SN-II models: 99% of ~2. 10 J released → ~10 ν with after 150 000 y : 10s flash of ~4. 1043 ν cross the Earth • From measured and model energy spectrum model emission time dispersion measured arrival time dispersion Confirmation of the SN-II models meV≤∼ 25 ν e • Identical fluxes of all ν and ν species expected νν− Events expected to be ee (much larger +→+nep cross-section) Limit on the neutrino masses: 4/ 0νββ decay experiments • The nuclear ν 0νββ decay experiment is THE spin-flip experiment (A,Z)→++ (A,Z 2 ) 2 e− L = 2 Process possible if the − - emitted right-handed e together with e - _ e e − ν ν absorbed as left-haν nded to produce e e e ∆ e ν W- Massive Majorana neutrino : d u W- ννee≡ and spin flipped d u T21090(Ge76→+> 76 See)− 25 y @ %C.L. d u 1 2 32 34 d u m.eV≤ 046 ν e B.Pontecorvo Massive neutrinos: 1957 Mixing & Neutrino oscillations B.Pontecorvo, V.N. Grimov 1967 ννl le,,= µτ family eigenstates k k,= 1 3 mass eigenstates νν 3 e 1 llkk= ∑U k,=1 ν ==U νµτννle,, ννµ 2 3 2 U = 1 τ 3 ∑ k k,=1 4 (6) parameters 3 Uα lk Dirac (Majorana) 1 (3) phases Straightforward extension to more than 3 neutrinos families, e.g. sterile neutrinos Oscillation cannot distinguish Dirac from Majorana neutrinos Propagation phase -i( E t - p L ) − i( m2 /( 2E ))L E ≈>>⇒p m e kk ≈e k + 3 u µ τ − + π + W ντ :Uτk νµµ:U k ν k ∑ + W k1= d d u n ddp u u Coherent propagation of different mass eigenstates over long L Oscillation probability (in practical units) P ((ν llllL0= )→=−νδ'' ()) L 13, meVLkm22[][] 4UUUU127Re(** sin2 . kk ' ∑ lk'' lk ' lk ' lk EGeV[] kk,'> k Mixingsdefine Maximum L/ E Oscillation term probability Sum on ∆ pairs of mass eigenstates 222 222 ∆∆∆∆mmmkk'' = k − k mmm0 12 + 23 + 31 = Neutrinos oscillate if massive and masses are non degenerate and if mixing between mass and weak eigenstates One mixing negligible : effective 2-family approximation cosθθeeµµ sin e.g. ν ≈ν U ≈ 1 mixing angle, no phase τ 3 − sin cos θθeeµµ νν θ mL2 P2127()sinsin(.)→=22 12 eeµµ E All mixings small : effective 2-family approximation ∆ 1 θθeeµτ θθ U1≈− µµτ all νl ≈νk e θθτµτ −−e 1 νν θ mL2 P2127()()sin(.)→= 2 kk ' lllll''≠ E ∆ Strong mass hierarchy : effective 2-family approximation ∆ δ if mm,m312 like quarks and charged leptons ν3 22222 ∆δmmmmm=−≈−31 32 222 2 mmm=−21 ∆m mm22 ν δm2 2 ⇓ ν1 L/ E δregion where ∆ m2 L/ E causes oscillation 2 mν and mL/E2 ≈ 0 ⇓ 22eff 2 P(ννl→≈ l' θ≠ l )∆ sin2127 ll' sin ( . m E / L) 2 sin2 24eff = U U ll'θ l33 l' Physics governed by: • ∆m2 • family composition of ν3 only Example of 2-family approximation: large mixing and strong mass hierarchy oscillation in phase (2-family like) from source composition from first process E = 1GeV strong mass hierarchy ∆λmeVkm232=×310− → = 825 δΛmeVkm272=×110− → = 2.5 ×10 7 large mixing -0.567 0.820 -0.0782 U = 0.515 0.279 -0.811 0.643 0.500 0.580 oscillation damping for large ∆m2 ∆ 1 mL 2 1.27 sin dispersion and resolution in⇒ L/E 2 2 E Matter effect on neutrino oscillations • Propagation phase in matter for weakly interacting particles ipx−−iEt in px iEt ee⇒ e e nfE=+12πρ (0)/ Z EMeV=<−= 1 : 0 | n 1 | 6.10−−19 [ gcm 3 ] 1 ν A • ννννes , , , have different interact ions thus nes,,, : νν+ µτeq−− ,→+ eq , (NC) ee,,µ ττ ,, ρ −− ννee+→ee (CC) µ s ν no interaction • Mass eigenstates have different family eigenstatesµ τ composition ⇒ Coherence of mass eigenstates propagation is affected by matter Matter effect on neutrino oscillations Oscillation enhancement Oscillation can be enhanced by matter and is maximum for 2 given electron density ρ∆θR (Em | , ) where mixing is full even if mixing in vacuum is extremely small MSW effect If neutrinos travel through medium where ρρeR varies and crosses slowly (e.g. through the Sun): e created in the Sun core may disappear totally into ν µ by reaching the Sun surface. ν Energy spectrum distortion ρ = ()E R ρ R Solar neutrino oscillation experiments Firsts experimental hints of neutrinos oscillation dates back from 1968 The solar neutrino deficit problem Radiochemical Experiments − ν e +→(Z,A)e +(Z + 1,A) τ (Z,A+≈ 1) 10 days Water Cerenkov −− Counting experiment νν+→+ee ν + ee−−→+ν Low E threshold ee High E threshold Ga Cl nuclear fusion pp cycle Measure E, θ,t 1 4 + 4 H→ He + 2 e + 2 νe + 25 MeV 38− 1 Φν(Sun)=× 1.s 8 10 e 10-- 2 1 ν νBe Φν(Earth)= 6. 5 10 e cm s pp KAMIOKANDE CHLORINE SuperK • ν pp 99.75% of flux: bound by Sun luminosity ν very low energy B very difficult to detect extremely low rate GALLEX SAGE GNO •− Strong correlation Be B fluxes Eν(MeV) νν Measured event rates v.z. SSM predictions GNO +10. 8 65. 8−10. 2 Overall flux deficit 03./.≤≤ΦΦmeas pred 06 +78. 75. 4−74. +0. 015 0.. 465± 0 005−0. 013 A Crude solution meas pred ΦΦννpp≈ pp bound by Luminosity meas≈ 0.5 pred not well known ΦΦBBνν meas Be ≈ 0 not well known Φν pred pred Contradiction with strong ΦΦννBe− B correlation No astrophysical explanation νe→νx (νµ,ντ, νs) Oscillation Signals? Inside the Sun? Between Sun-Earth? χ2/NDF = 13.7/17 - Total flux too low by factor 0.3-0.5 in all 6 experiments - E spectrum distortion: Eν SuperK and SSM spectra agree (En >6.5 MeV): - Seasonal effects: Effect of Sun-Earth distance variation (besides 1/L2): SuperK flux time dependence agrees with 1/L 2(t) - Day/Night effect: matter effect inside Earth ? SuperK flux time dependence compatible with no effect D-N =−0.. 034 ± 0 022+0. 013 (D+N)/2 −0. 012 Flux deficit is the only smoking gun Y.Suzuki Neutrino 2000 Y.Susuki Vietnam 2000 Global fit for ν eactive→ ννν (µ or τ ) Allowed by SK All measurements Excluded by SK Day/Night spectrum only Allowed by Ga+Cl+SK Flux measurements only Oscillation in Sun matter @ 95% C.L. Oscillation in vacuum 2 Y.Suzuki Neutrino 2000 tan θ Y.Susuki Vietnam 2000 Note Global fit for ν eactive→ ννν (µ or τ ) ∆ 2 solutions at sin2 2θ ≈ 1 ∆ meV2452≈−10−− 10 meV272≈ 10− @ 95% C.L. νe→νs disfavoured at 95% C.L. 2 Y.Suzuki Neutrino 2000 tan θ Y.Susuki Vietnam 2000 Note Solar neutrino oscillation: Summary and Future The solar neutrino deficit can be explained by νe oscillation to active neutrinos θ @ 95% C.L. 2 sets of parameters are favoured by combining all data ∆meV252≈ 10− sin2 2≈ 1 (maximum mixing) 272− ∆meV≈ 10 @ 95% C.L. oscillation to sterile neutrinos is disfavoured SNO: measures independently the CC and NC solar event rates (NC rate unaffected by oscillation between active neutrinos) KAMLAND, BOREXINO: Very LBL reactors experiments (L>100 km) (from 2001) reach ∆m10eV252≥ − Neutrino Oscillation Experiments at Accelerators Motivation Search for neutrinos with masses of cosmological relevance: “Hot dark matter” candidates with mν > 1 eV -3 -4 with sensitivity to Posc > 10 -10 (given previous results) 2 mν > S∆m > 1 eV High sensitivity = low intrinsic background = well know source Large ∆m2 = high energy High sensitivity + Large ∆m2 = accelerator experiment Neutrino Oscillation Experiments at High Energy Accelerators CHORUS and NOMAD short baseline experiments Search for νµ−ντ oscillation -6 ντ appearance in ντ free (~10 ) νµ beam at the CERN SPS Wide Band Neutrino Beam -4 Sensitivity Posc(νµ−ντ) > 10 Same beam, Complementary concepts NOMAD: ντ signal extraction technique: excess of events in kinematics box No µ in final state CHORUS: Observation of the τ-lepton track produced in CC ντ interactions in 770 kg nuclear emulsion target : “kink” topology −13 ττ= 2.9 10 σ < βγcττ > ≈ 1.5 mm See talk by K.Niwa “Kink” NOMAD: Results •± expects 55.2 5.2 background events • observes 58 M. Mezzetto Neutrino 2000 ν P.Astier at al. CERN-EP-2000-049) • would have seenµ 14937 ντ , would all have oscillated −4 CHORUS Posc ().ννµτ→< 2 03 × 10 E531 NOMAD CCFR CHORUS: CHARM II • expects 1.2 background events • observes 0 ν • would have seenµ 10018 ντ , would all have oscillated ν µ ↔ ντ −4 P3410osc ().ννµτ→<× CDHS • CHORUS is able to detect events: relaxed selection cuts: 3.3 background expected 4 events observed E.Eskut at al. CERN-EP-2000-0??) Neutrino Oscillation Experiments at Low Energy Accelerators νν 22 Search for ν µ →ν e oscillation at rather large ∆m~.eV> 0 1 Sensitivity P( - ) > 10-3 πµosc µ e Concept: ννν • 800 MeV p beam dump • ++, stopped and decays at rest µµ • only ,,e produced (below 53 MeV) -3 •Almost no ν e (<10 ) • 800 MeV p beam dump Concept • 2ndry πµ , stopped in dump ν from Decays/Captures at Rest • mostly νννµµ , ,e produced ν ()π ++→ µν in ++πµ , decays at rest µ µ ν → ν below 53 MeV ++ µ e ν µ ()µ → e ννe µ oscillation • -3 Almost no ν e (<10 ) ++ ν e ()µ → e ννe µ ν → ν − µ e ν µ (X)µνN → µ −− oscillation search −− ()µ → e νν ν µ e µ ν e ()µ → e ννe µ EMeV< 53 ()π ++→ e ν ν ν e e Signal: Inverse β decay + νe + p→e n ν e 53MeV LSND expects 50.3 ν background events Results e observes 83 KARMEN-II excess 32.7± 9.2 expects 12.29± 0.69 ν background events e all measurememts well fitted by observes 11 ν µ →ν e oscillation LSND: G.Mills Neutrino 2000 KARMEN2: K.Eitel Final word by MiniBOONE at Fermilab in 2002(3) Preliminary joined KARMEN2-LSND analysis JoinedJoined likelihood likelihood 3 “sensible” common favoured regions Statistical analysis of small event numbers 90% is very touchy: Bayesian v.z. frequentist 99% variations LSND alone CERN 2000-005 Yellow report KARMEN2, NOMAD,BUGEY The result of two analysis is NOT the overlap K. Eitel hep-ex-990906 excluded of an exclusion contour on a signal contour and New J. Phys. 2 K. Eitel hep-ex-990906 and (2000)1 New J. Phys. 2(2000)1 Atmospheric Neutrinos Oscillation Experiments Beautiful atmospheric neutrinos beam line 15 km νµ µ− + 500 km π µ− µ+ νµ ε+ 13 000 km νµ νε νµ Wide L/E range ν E measured (Φ + Φν ) u u L measured from θ ν ≈ 2 (Φ + Φ ) How precise are the flux e ν e P,He,…Fe MC predictions? Rates ()ννµ e R = Data most model and experiment systematic cancels ()ννµ e MC SuperK (Water Cerenkov tank) H.Sobel Neutrino 2000 Y.Susuki Vietnam 2000 Sub-GeV events Multi-GeV events R =±±0. 652 0 . 019 0 . 051 0 . 668 ±± 0 . 034 0 . 079 Soudan-2 (tracking calorimeter) R =±±068... 011 006 T.Mann Neutrino 2000 Macro (tracking calorimeter) B.Barrish Neutrino 2000 R =±±0... 731 0 028 0 044 Is the νννµµ deficit due to → X oscillation? What is ? ? ? ? Xeνννν s Not just rates, but L andτ E dependence of rates needed to confirm oscillation SuperK L(θ) and E dependence of rates MC no oscillation data Deficit depends on L and E Up-going Down-going cos θ = -1 cos θ = 1 L=13000km L=15km ∆m2 SuperK (eV2) ν µ ↔ ν τ -2 Signal region 10 Best fit 5 10-3 -3 sin2 21θ = (full mixing) • 3.2 10 ∆ m.2 =×32 10−32 eV 1.5 10-3 Macro 10-3 sin2 21θ = ∆ 2 −32 68 % C.L. m.≈×25 10 eV 90 % C.L. 99 % C.L. Soudan 2 sin2 209θ = . ∆ 10-4 m.2 ≈×79 10−32 eV sin2 2 θ SuperK checks of the oscillation hypothesis ν µ ↔ ντ Angular distribution Sub GeV Multi GeV MC best fit MC no oscillation data e-like µ-like SuperK checks of the oscillation hypothesis ν µ ↔ ντ MC best fit Angular distribution MC no oscillation data upward going νµ events MC best fit MC no oscillation L/E distribution data µ-like e-like higher lower energy energy ν µτ↔↔ννν or µ s oscillation? Discrimination based on L dependence of the matter effect in Earth ν µ ↔ ν s excluded at 99% C.L. ν µτ↔↔ννν or µ e oscillation? • Data is compatible with a some νµ−νe mixing •νµ−νe mixing must be small: - all νe data agree with model predictions without oscillation -large νµ→νe affect νe data significantly • Strong restriction from reactor experiments ν µτ↔↔ννν or µ s oscillation? Discrimination based on L (or θ) dependence of the matter effect in Earth Matter has no effect on ννµτ↔ σ oscillation: same NC Matter effects suppress ννs ↔ oscillation and suppression increases withµ E (not trivial!) Suppression increases with amount L of matter traversed (θ ) up-going µ from up-going νµ interacting in rock high energy events ν µ ↔ ν s ν µ ↔ ντ data ν µ ↔ ν s excluded at 99% C.L. -1 cos θ 0 L=13000km L=500km Absolute E spectrum at CHOOZ Nuclear Reactor Long e+ L=1km Base Line (1 km) experiment E+ spectrum measured R = e E+ spectrum expected if no oscillation Calculated and measured e ν flux and e energy spectra at L=0 agree to ~ 2% (Bugey 1995) Signal: Inverse n β decay + νe + p→e n E 3 MeV <>≈e+ Ee+ (MeV) LE/10≈ −3 R= 1.010±± 0.028 (stat) 0.027 (syst) No ν ex↔ ν oscillation signal Is ννµ ↔ e oscillation in atmospheric neutrinos fully excluded by CHOOZ/PaloVerde negative result? 3-family mass hierarchy model (Sun + Atmospheric signals) ∆m3510eV232≈×. − : atmospheric δm10eV252< − : solar SK 90% C.L. SK 99% C.L. CHOOZ excluded 90% C.L. Space for small ννµ ↔ e mixing 2eff 0 sin 2θeµ 1 Summary of oscillation signals ν e E.Lisi, 3-family mass hierarchy model G.Fogli, ... ∆ m155010eV2 ≈−..× −3 2 :atmospheric + negative ννex↔ : reactor 2 2 Uτ 3 Uµ 3 δ m1252<↔0eV−νν :slaro ν 3 e active ν ν full mixing µ 2 τ Ue3 νν 223− − LSND µ ↔ e at small mixing∆ sin21010θ ≈− ~ 2 2 large m≈−ν01 . 1eV ∆ requires 4 eigenstates and a s neutio r n m2 ∆m2 sun atm e.g. mm12<<