Phenomenology of Sterile Neutrinos Carlo Giunti

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1 Phenomenology of Sterile Neutrinos Carlo Giunti INFN, Sezione di Torino, and Dipartimento di Fisica Teorica, Università di Torino Neutrino Unbound: Neutrini in Cosmologia Scuola di Formazione Professionale INFN May 011, Padova C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 1/59

2 Three-Neutrino Mixing Paradigm ¼ ½ Homestake Kamiokande GALLEX/GNO & SAGE Super-Kamiokande Solar e Reactor e disappearance Atmospheric Accelerator disappearance ¼ SNO BOREXino (KamLAND) Kamiokande IMB Super-Kamiokande MACRO Soudan- (KK & MINOS) ½ m SOL ³ ev sin SOL ³ 03 m ATM ³ ev sin ATM ³ 050 Two scales of m µ Three-Neutrino Mixing m SOL = m 1 ³ ev m ATM ³ m 31 ³ m 3 ³ ev C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 /59

3 Three-Neutrino Mixing «L = 3 k=1 U «k kl («= e ) three flavor fields: e,, three massive fields: 1,, 3 m 1 + m 3 + m 13 = m m 1 +m 3 m +m 1 m 3 = 0 m SOL = m 1 ³ ev m ATM ³ m 31 ³ m 3 ³ ev C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 3/59

4 Allowed Three-Neutrino Schemes Ñ Ñ ¾ ËÍÆ Ñ ¾ ½ Ñ ¾ ÌÅ Ñ ¾ ÌÅ ¾ Ñ ¾ ËÍÆ ½ normal inverted different signs of m 31 ³ m 3 absolute scale is not determined by neutrino oscillation data C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 4/59

5 LSND [LSND, PRL 75 (1995) 650; PRC 54 (1996) 685; PRL 77 (1996) 308; PRD 64 (001) 11007] e L ³ 30m 0MeV E 00MeV Beam Excess Beam Excess p(ν _ µ ν_ e,e+ )n p(ν _ e,e+ )n other L/E ν (meters/mev) m (ev /c 4 ) Karmen Bugey 90% (L max -L <.3) 99% (L max -L < 4.6) CCFR NOMAD sin θ m LSND 0eV ( m ATM m SOL) C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 5/59

6 MiniBooNE Neutrinos [PRL 98 (007) 31801; PRL 10 (009) 10180] e L ³ 541m 475MeV E 3GeV Events / MeV Data ν e from µ + ν e from K 0 ν e from K π 0 misid Nγ dirt other Total Background QE E ν (GeV) Excess Events / MeV 0.8 data - expected background best-fit ν µ ν e 0.6 sin θ=0.004, m =1.0eV 0.4 sin θ=0., m =0.1eV QE E ν (GeV) [MiniBooNE, PRL 10 (009) 10180, arxiv:081.43] Low-Energy Anomaly! [Djurcic, arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 6/59

7 Events/MeV 0. MiniBooNE Antineutrinos [PRL 103 (009) ; PRL 105 (010) ] e L ³ 541m 475MeV E 3GeV 0.6 +/- ν e & ν e from µ Fit Region +/- ν e & ν e from K 0 ν e & ν e from K 0 π misid 0.4 Nγ dirt other Constr. Syst. Error Best Fit (E>475MeV) ) % CL 90% CL 99% CL KARMEN 90% CL BUGEY 90% CL /c Events/MeV Data - expected background Best Fit sin θ=0.004, m =1.0eV (ev m sin θ=0.03, m =0.3eV LSND 90% CL QE E ν (GeV) [MiniBooNE, PRL 105 (010) , arxiv: ] LSND 99% CL Agreement with LSND e signal! - 10 sin (θ) Similar LE but different L and E =µ Oscillations! C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 7/59

8 Beyond Three-Neutrino Mixing ν τ ν s1 ν µ ν e ν ν 3 ν 4 ν 5 ν 1 m 1 m m 3 ν s m 4 m 5 logm m SOL 3ν-mixing m ATM m SBL C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 8/59

9 Standard Model Neutrinos are the only massless fermions Neutrinos are the only fermions with only left-handed component L Extension of the SM: Massive Neutrinos Simplest extension: introduce right-handed component R Dirac mass m D R L + Majorana mass m M c R R el L L + er R R =µ 6 massive Majorana neutrinos C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 9/59

10 Sterile Neutrinos Light anti- R are called sterile neutrinos c R s (left-handed) Sterile means no standard model interactions Active neutrinos ( e ) can oscillate into sterile neutrinos ( s ) Observables: Disappearance of active neutrinos Indirect evidence through combined fit of data (current indication) Powerful window on new physics beyond the Standard Model C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

11 Cross-section (pb) Number of Flavor and Massive Neutrinos? CESR DORIS PEP KEKB PEP-II PETRA TRISTAN Γ Z = Z SLC LEP I e + e hadrons =eγ Z + q=t W + W - LEP II Centre-of-mass energy (GeV) σ had [nb] [LEP, Phys. Rept. 47 (006) 57, arxiv:hep-ex/ ] Γ Zq q +Γ inv N = ALEPH DELPHI L3 OPAL average measurements, error bars increased by factor 10 ν 3ν 4ν E cm [GeV] Γ inv = N Γ Z C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

12 e + e Z invisible a a =µ e a=active 3 light active flavor neutrinos mixing µ «L = N k=1 U «k kl «= e Mass Basis: Flavor Basis: e s1 s ACTIVE STERILE N 3 no upper limit! C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 1/59

13 Cosmology N s = number of thermalized sterile neutrinos (not necessarily integer) CMB and LSS in ΛCDM: [Hamann, Hannestad, Raffelt, Tamborra, Wong, PRL 105 (010) , arxiv: ] N s = m s 070eV (95% C.L.) [Giusarma, Corsi, Archidiacono, de Putter, Melchiorri, Mena, Pandolfi, arxiv: ] BBN: N s = [Cyburt, Fields, Olive, Skillman, AP 3 (005) 313, astro-ph/ ] N s = [Izotov, Thuan, ApJL 710 (010) L67, arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

14 Direct Searches of Active-Sterile Transitions C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

15 CCFR [PRD 59 (1999) , arxiv:hep-ex/980903] NC interactions E 100GeV L ³ 14km C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

16 MINOS NC sample: 89% efficiency and 61% purity 97% of e -induced CC events misidentified as NC [arxiv: ] Events/GeV (GeV) E reco Near Detector Data Monte Carlo Prediction CC Background ν µ L ND = 104km Events/GeV (GeV) E reco L FD = 735km Far Detector Data θ 13 = 0 θ = 11.5, δ = π, m3 >0 13 ν µ CC Background -3 m 3 =.3 10 ev sin θ 3 = 1 Model 13 /D.O.F f s m 4 = m / / m 4 m / / C. Giunti Phenomenology of Sterile Neutrinos 16 May /59 90% C.L.

17 New Calculation of Reactor e Flux Th. A. Mueller, D. Lhuillier, M. Fallot, A. Letourneau, S. Cormon, M. Fechner, L. Giot, T. Lasserre, J. Martino, G. Mention, A. Porta, F. Yermia, Improved Predictions of Reactor Antineutrino Spectra, arxiv: detected flux normalization is increased by about 3% Emitted spectrum Cross-section Detected spectrum Arbitrary Units E ν (MeV) C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

18 G. Mention, M. Fechner, Th. Lasserre, Th. A. Mueller, D. Lhuillier, M. Cribier, A. Letourneau, The Reactor Antineutrino Anomaly, arxiv: ratio of observed and predicted event rates: deviation from unity at 98.4% C.L.: reactor antineutrino anomaly ILL Bugey 3/4 ROVNO Krasnoyarsk Goesgen Bugey3 Goesgen Krasnoyarsk 3 Goesgen Krasnoyarsk Bugey3 PaloVerde CHOOZ N OBS /(N EXP ) pred,new Distance to Reactor (m) C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

19 New reactor neutrino flux has several implications: fit of solar and KamLAND data, determination of 13, short-baseline e disappearance,... Chooz limit on 13 Hint of 13 0 [Chooz, EPJC 7 (003) 331] [Fogli et al., PRL 101 (008) ] dof χ contours CHOOZ simulation New spectra (σ f pred ) New spectra (σ f ano ) dof χ contours Old spectra New spectra (σ f pred ) New spectra (σ f ano ) CHOOZ (003) KamLAND (010) Solar (ev ) m sin θ sin (θ 13 ) tan θ 1 [Mention et al., arxiv: ] [Mention et al., arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

20 Four-Neutrino Schemes: + and 3+1 m ν 4 m ν 4 ν 3 m SBL m SBL ν 3 ν ν + ν ν 1 C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 0/59

21 + Four-Neutrino Schemes m m ν 4 ν m ATM ν 3 m SOL ν 1 m SBL m SBL ν m SOL ν 1 normal ν 4 m ATM ν 3 inverted C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 1/59

22 + Schemes are strongly disfavored by solar and atmospheric data 50 χ solar + KamLAND solar solar (pre SNO salt) global solar + KamLAND χ PG χ PC 10 99% CL (1 dof) atm + KK + SBL η s η s matter effects + SNO NC 99% CL: s = U s1 + U s 1 s = U s3 + U s4 matter effects s 05 (solar + KamLAND) s 075 (atmospheric + KK) [Maltoni, Schwetz, Tortola, Valle, New J. Phys. 6 (004) 1, arxiv:hep-ph/040517] C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 /59

23 3+1 Four-Neutrino Schemes m m m m ν ν 4 ν 4 ν 3 m SOL m ATM ν m ATM ν 1 m SOL ν 1 ν 3 m SBL m SBL m SBL m SBL ν 3 ν m SOL m ATM ν m ATM ν 1 m SOL ν 4 ν 4 ν 1 ν 3 normal 3-inverted 4-inverted fully-inverted Perturbation of 3- Mixing U e4 1 U 4 1 U 4 1 U s4 ³ 1 C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 3/59

24 P «= = Effective SBL Oscillation Probabilities in 3+1 Schemes 4 k=1 4 k=1 U «ku ke ie kt U «ku ke i(e k E 1)t e ie 1t 4 k=1 U «ku k exp m k1 L E E k ³ p + m k m1 L m31 1 L p E E P «= U «1 U 1 +U «U +U «3 U 3 +U «4 m U L 4exp E 1 m 41 m U «1U 1 +U «U +U «3U 3 = Æ «U «4U 4 C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 4/59

25 P «= Æ «U «4 U 4 = Æ «+ U «4 U 4 Æ «U «4 m L 1 exp E cos m L E 1 cos m L E = Æ «U «4 Æ «U 4 1 cos m L E = Æ «4U «4 Æ «U 4 sin m L E «= =µ P «= 4U «4 U 4 sin m L 4E «= =µ P ««= 4U «4 1 U «4 sin m L 4E C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 5/59

26 m P «= sin «sin L 4E P ««m = 1 sin ««sin L 4E sin «= 4U «4 U 4 No CP Violation! sin ««= 4U «4 1 U «4 Perturbation of 3 Mixing U e4 1 U 4 1 U 4 1 U s4 ³ 1 U e1 U e U e3 U e4 sin ««1 U = U µ1 U τ1 U µ U τ U µ3 U τ3 U µ4 U τ4 U s1 U s U s3 U s4 SBL U «4 ³ sin ««4 C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 6/59

27 10 10 m [ev ] Schemes GoF = 3% 10 1 PGoF = 089% % C.L. ν µ >ν e : LSND+KARMEN+MiniBooNE ν µ >ν e : MiniBooNE sin ϑ eµ Tension between LSND + KARMEN + MiniBooNE e and MiniBooNE e =µ CP Violation? 3+ =µ CP Violation OK [Sorel, Conrad, Shaevitz, PRD 70 (004) , hep-ph/030555; Maltoni, Schwetz, PRD 76, (007), arxiv: ; Karagiorgi et al, PRD 80 (009) , arxiv: ] 3+1+NSI =µ CP Violation OK [Akhmedov, Schwetz, JHEP 10 (010) 115, arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 7/59

28 e Disappearance and Disappearance 10 Reactor Rates 99.00% C.L. Bugey 3 (1995) Bugey 4 (1994) + Rovno (1991) Gosgen (1986) + ILL (1995) Krasnoyarsk (1994) % C.L. CDHSW (1984): ν µ ATM: ν µ + ν µ m [ev ] 1 m [ev ] sin ϑ ee New Reactor e Fluxes [Mueller et al., arxiv: ] [Mention et al., arxiv: ] sin ϑ µµ ATM constraint on U 4 [Maltoni, Schwetz, PRD 76 (007) , arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 8/59

29 e disappearance experiments: sin ee = 4U e4 1 U e4 ³ 4U e4 disappearance experiments: sin = 4U 4 1 U 4 ³ 4U 4 e experiments: sin e = 4U e4 U 4 ³ 1 4 sin ee sin Upper bounds on sin ee and sin =µ strong limit on sin e [Okada, Yasuda, Int. J. Mod. Phys. A1 (1997) , arxiv:hep-ph/ ] [Bilenky, Giunti, Grimus, Eur. Phys. J. C1 (1998) 47, arxiv:hep-ph/960737] C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 9/59

30 3+1 Schemes % C.L. Reactors CDHSW + Atm Disappearance LSND + MBν 10 m [ev ] sin ϑ eµ C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

31 % C.L. MBν + LSNDν Dis + KARMEN + MBν 10 m [ev ] 1 PGoF = 0006% sin ϑ eµ Strong tension between e appearance and disappearance limits ( e e and mainly ) Tension reduced in 3+, 3+1+NSI CPT Violation? [Barger, Marfatia, Whisnant, PLB 576 (003) 303] [Giunti, Laveder, PRD 8 (010) , PRD 83 (011) ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

32 Antineutrino Oscillations in 3+1 Schemes m [ev ] 1 + m [ev ] ν (3+1) 10 1 ν (3+1) 68.7% C.L. (1σ) 90.00% C.L % C.L. (σ) 99.00% C.L % C.L. (3σ) 68.7% C.L. (1σ) 90.00% C.L % C.L. (σ) 99.00% C.L % C.L. (3σ) sin ϑ eµ sin ϑ µµ min = 870 NdF = 83 GoF = 36% m = 04eV sin e = 0016 sin ee = 000 sin = 065 Prediction: large SBL disappearance at m 01eV [Giunti, Laveder, PRD 83 (011) , arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 3/59

33 Gallium Anomaly Gallium Radioactive Source Experiments Tests of the solar neutrino detectors GALLEX (Cr1, Cr) and SAGE (Cr, Ar) Detection Process: e + 71 Ga 71 Ge+e e Sources: e + 51 Cr 51 V+ e e + 37 Ar 37 Cl+ e 51 Cr 37 Ar E [kev] B.R Ar (35.04 days) 37Cl (stable) 813 kev ν ( 9.8%) 811 kev ν (90.%) [SAGE, PRC 73 (006) , nucl-ex/051041] [SAGE, PRC 59 (1999) 46, hep-ph/ ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

34 1.1 GALLEX Cr1 SAGE Cr p(measured)/p(predicted) GALLEX Cr SAGE Ar [SAGE, PRC 73 (006) , nucl-ex/051041] R Gallex-Cr1 B = RB Gallex-Cr = RB SAGE-Cr = RB SAGE-Ar = [SAGE, PRC 59 (1999) 46, hep-ph/ ] L GALLEX = 19m L SAGE = 06m R Ga B = Bahcall cross section Only exp uncertainties! C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

35 Deficit could be due to overestimate of ( e + 71 Ga 71 Ge+e ) Calculation: Bahcall, PRC 56 (1997) 3391, hep-ph/ / MeV 3/ 71 Ga 5/ MeV 1/ 71 Ge 0.33 MeV G.S. related to measured (e + 71 Ge 71 Ga+ e ): ( 51 Cr) = G.S. ( 51 Cr) G.S. ( 51 Cr) = cm (1 0004) 3 Contribution of Excited States only 5%! BGT 175keV +00 BGT 500keV BGT G.S. BGT G.S. C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

36 Bahcall: [Bahcall, PRC 56 (1997) 3391, hep-ph/ ] from p + 71 Ga 71 Ge+n measurements [Krofcheck et al., PRL 55 (1985) 1051] BGT 175keV 0056 µ BGT 175keV = 0056 BGT G.S. BGT G.S. 3 lower limit: BGT 175keV BGT G.S. = BGT 500keV BGT G.S. = 0 3 upper limit: BGT 175keV BGT G.S ( 51 Cr) = cm Haxton: 1 BGT 500keV BGT G.S. = 0146 BGT 500keV BGT G.S. = 0146 =µ R Ga B = [Hata, Haxton, PLB 353 (1995) 4, nucl-th/ ; Haxton, PLB 431 (1998) 110, nucl-th/ ] a sophisticated shell model calculation is performed... for the transition to the first excited state in 71 Ge. The calculation predicts destructive interference between the (pn) spin and spin-tensor matrix elements. ( 51 Cr) = cm (1 0106) 1 =µ R Ga H = C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

37 RH Ga = R Ga = R Ga exp RGa the exp and the uncertainties added in quadrature probability distribution of ratio is not Gaussian p(r) p R Ga Gallium B GALLEX Cr1 GALLEX Cr SAGE Cr SAGE Ar p R Ga p R Ga(r) = ½ p R Ga R Ga gs (rs)p exp R Ga (s)s ds R Ga = the R Gallex-Cr1 = R Gallex-Cr = R SAGE-Cr = R SAGE-Ar = [Giunti, Laveder, arxiv: ] r C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

38 Gallium Radioactive Source Experiments are Short-BaseLine Neutrino Oscillation Experiments [Bahcall, Krastev, Lisi, PLB 348 (1995) 11] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

39 m P SBL (LE) = 1 ee sin sin L 4E Êk È R k (sin m ) = dv L i bk i i k P SBL (LE ee i) Êk dv L È i bk i k i k = GALLEX-Cr1 GALLEX-Cr SAGE-Cr SAGE-Ar R k = R k exp Rk the p R (r) = ½ R k gs fully correlated theoretical uncertainty! k p R k exp (r k s) p R k the (s)s 4 ds Ä(sin m ) = p R ( R(sin m )) (sin m ) = ln Ä(sin m )+constant C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

40 χ Gallium 68.7% C.L. (1σ) 90.00% C.L % C.L. (σ) 99.00% C.L % C.L. (3σ) No Osc. = 97 No Osc. disfavored at 99.3 % C.L (7) m [ev ] 1 + Osc. sin bf = 051 m bf = 4eV sin ϑ χ [Giunti, Laveder, arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

41 Reactor Antineutrino Anomaly R Reactor Rates Bugey3 15 Bugey3 40 Bugey3 95 Bugey4 ROVNO Gosgen 38 Gosgen 45 Gosgen 65 ILL Krasno 33 Krasno 9 Krasno L [m] Best Fits Reactor Rates Bugey 3 Spectra Combined R R R New Reactor Neutrino Flux Bugey 3 Spectra L = 15 m E e + [MeV] New Reactor Neutrino Flux Bugey 3 Spectra L = 40 m E e + [MeV] New Reactor Neutrino Flux Bugey 3 Spectra L = 95 m R rates = Improved hint of oscillations given by Bugey energy spectrum with old reactor fluxes sin bf = 0059 mbf = 189eV E e + [MeV] [Acero, Giunti, Laveder, PRD 78 (008) , arxiv:0711.4] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

42 Reactor Antineutrino Anomaly Gallium Neutrino Anomaly m [ev ] 1 m [ev ] 1 Reactors Gallium 68.7% C.L. (1σ) 90.00% C.L % C.L. (σ) 99.00% C.L % C.L. (3σ) 68.7% C.L. (1σ) 90.00% C.L % C.L. (σ) 99.00% C.L % C.L. (3σ) sin ϑ sin ϑ sin bf = 0059 sin bf = 051 m bf = 189eV m bf = 4eV C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 4/59

43 Gallium Anomaly + Reactor Anomaly min = 596 NdF = 71 m [ev ] 1 GoF = 83% sin = 011 m = 95eV 95.00% C.L. Gallium Reactors Combined PGoF = 46% sin ϑ C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

44 Old Reactor e Fluxes New Reactor e Fluxes χ % 99% 95.45% 90% 68.7% Gallium Reactors Gallium + Reactors χ % 99% 95.45% 90% 68.7% Gallium Reactors Gallium + Reactors sin ϑ PGoF = 3% sin ϑ PGoF = 46% C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

45 3 H 3 He+e + e K(T) = ÚÙ Ù Ø Tritium Beta-Decay Õ dγ dt = (coscgf) Å F(E)pE (Q T) (Q T) m 3 e Q = M3 H M3 He m e = 1858keV 3 Kurie plot dγdt = (coscg F) Å F(E)pE (Q T) Õ 1 (Q T) m e K(T) m νe = m νe = 100 ev T Q m νe Q m e ev (95% C.L.) Mainz & Troitsk [Weinheimer, hep-ex/010050] future: KATRIN (start 010) [hep-ex/ ] [hep-ex/ ] sensitivity: m e ³ 0eV C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

46 Neutrino Mixing =µ K(T) = (Q T) k U ek Õ(Q T) m k 1 Ã Ì µ ¼º¾ Í ¾ ½ ¼ ѽ ½¼ Î ¼º½ Í ¾ ¾ ¼ Ѿ ½¼¼ Î ¼º½ ¼º¼ ¼ ½º ½º ½º ½º ½º É Ñ ¾ Ì É Ñ ½ analysis of data is different from the no-mixing case: N 1 parameters k U ek = 1 if experiment is not sensitive to masses (m k Q T) effective mass: m = k U ek m k K = (Q T) U ek m 1 k ³ (Q T) (Q T) U ek 1 1 mk (Q T) k k Õ = (Q T) 1 1 m ³ (Q T) (Q T) m (Q T) C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

47 Neutrinoless Double-Beta Decay + β As 0 + β 76 3Ge β β 0 + Effective Majorana Neutrino Mass: m = k 76 34Se U ek m k C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

48 Two-Neutrino Double- Decay: L = 0 Æ(AZ) Æ(AZ +)+e +e + e + e Ï Ù (T 1 ) 1 = G Å second order weak interaction process in the Standard Model Ï Ù Neutrinoless Double- Decay: L = Æ(AZ) Æ(AZ +)+e +e (T 0 1 ) 1 = G 0 Å 0 m Ï Í Ù effective Majorana mass m = k U ek m k Ñ Í Ï Ù C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

49 Implications of Gallium and Reactor Anomalies Decay ( ) 0 Decay χ % Gallium Reactors Tritium Combined 99% 95.45% 90% 68.7% U e4 m [ev] χ m = U ek mk m = k [Giunti, Laveder, In Preparation] 99.73% Gallium Reactors Tritium Combined 99% 95.45% 90% 68.7% U e4 m [ev] U ek m k k C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

50 MiniBooNE Low-Energy Anomaly Events / MeV Data ν e from µ + ν e from K 0 ν e from K π 0 misid Nγ dirt other Total Background [PRL 10 (009) 10180, arxiv:081.43] Our Hypothesis: Nj the = f P een cal e j +N cal j QE E ν [Giunti, Laveder, PRD 77 (008) 09300, arxiv: ; PRD 80 (009) , arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59 (GeV)

51 Nj the = f P een cal e j +N cal j Estimated 15% uncertainty of the calculated neutrino flux [MiniBooNE, PRD 79 (009) 0700, arxiv: ] is consistent with measured ratio of detected and predicted charged-current quasi-elastic events [MiniBooNE, PRL 100 (008) 03301, arxiv: ] We fit MiniBooNE e and data using the info at C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

52 events / MeV E [MeV] MiniBooNE ν e N νe,the (j) νe,cal νe,j = f ν P νe νe N νe,j νµ,the νµ,cal N νe,j = f ν N νe,j N the νe,j = N νe,the νµ,the νe,j + N νe,j (b) [Giunti, Laveder, PRD 8 (010) , arxiv: ] No Osc. & f = 1 min = NdF = 3+16 GoF = 41% Our Hypothesis min = 0+76 NdF = 16 GoF = 89% f = 16 sin = 03 m = 184eV C. Giunti Phenomenology of Sterile Neutrinos 16 May 011 5/59

53 MiniBooNE + Gallium m [ev ] χ MB + Ga 68.7% C.L. (1σ) 95.45% C.L. (σ) 99.73% C.L. (3σ) min = 3+9 NdF = 0 GoF = 93% sin = 07 m = 19eV PGoF = 93% sin ϑ χ [Giunti, Laveder, PRD 8 (010) , arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

54 MiniBooNE + Gallium + Reactors χ dof χ contours 1 dof χ profile % % % (ev ) m new dof χ profile sin (θ new ) 5 10 χ [Mention et al., arxiv: ] C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

55 Future MiniBooNE is continuing to take antineutrino data. e + ICARUS@CERN-PS: L 1km E 1GeV [C. Rubbia et al, CERN-SPSC ] ( ) ( ) e + ( ) ( ) + ( ) e ( ) e MicroBooNE will test the MiniBooNE low-energy anomaly by measuring 0 background. C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

56 e disappearance: new SAGE Gallium source experiments with spherical shells [Gavrin et al, arxiv: ] CPT test: e and e disappearance Beta-Beam experiments: [Antusch, Fernandez-Martinez, PLB 665 (008) 190, arxiv: ] N(AZ) N(AZ +1)+e + e ( ) N(AZ) N(AZ 1)+e + + e ( + ) Neutrino Factory experiments: [Giunti, Laveder, Winter, PRD 80 (009) , arxiv: ] + +e + + e +e + e C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

57 New e and e radioactive source experiments with low-threshold neutrino elastic scattering detectors. Borexino: ( ) e +e ( ) e +e [Pallavicini, talk at BEYOND3NU] [Ianni, Montanino, Scioscia, EPJC 8 (1999) 609, arxiv:hep-ex/990101] LENS (Low Energy Neutrino Spectroscopy): e In 115 Sn+e + e +p n+e + [Agarwalla, Raghavan, arxiv: ] E th = 01MeV E th = 18MeV Spherical Gaseous TPC: [Vergados, Giomataris, Novikov, arxiv: ] Targets: 131 Xe, 40 Ar, 0 Ne, 4 He. Sources: 37 Ar, 51 Cr, 65 Zn, 3 P. C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

58 Conclusions 1 Suggestive LSND and MiniBooNE agreement on SBL e Hint in favor of sterile neutrinos is compatible with cosmological data, but mass is limited Two experimental tensions: LSND and MiniBooNE e vs MiniBooNE e (CP violation?) LSND and MiniBooNE e vs e and disappearance limits CPT-invariant 3+1 Four-Neutrino Mixing is strongly disfavored (no CP violation and tension between appearance and disappearance) 3+ can explain CP violation and reduce tension between appearance and disappearance with New Reactor e Fluxes 3+1+NSI has CP violation and reduced appearance-disappearance tension CPT-violating 3+1 Mixing =µ testable large SBL disappearance C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

59 Conclusions Interesting possible agreement of Gallium Anomaly (SBL e disappearance) Reactor Anomaly (SBL e disappearance) Testable Predictions: m eV () m eV () Exciting experimental results in favor of sterile neutrinos. More work to do because interpretation is not clear: Explanation of all data needs at least two new physical effects. Without CPT violation tensions do not disappear completely. Possible that some experiments are giving misleading information. New short-baseline neutrino oscillation experiments are needed! C. Giunti Phenomenology of Sterile Neutrinos 16 May /59

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