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Determining The Neutrino Mixing Angle 13 With The Daya Bay Nuclear Power Plants. Kam-Biu Luk University of California, Berkeley and Lawrence Berkeley National Laboratory Seminar at BNL, November 4, 2005. Neutrino Mixing. Inverted hierarchy. Normal hierarchy. m 3 2. m 2 2. m 2 32.
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Determining The Neutrino Mixing Angle 13With The Daya Bay Nuclear Power Plants Kam-Biu Luk University of California, Berkeley and Lawrence Berkeley National Laboratory Seminar at BNL, November 4, 2005
Neutrino Mixing Inverted hierarchy Normal hierarchy m32 m22 m232 m12 m22 m221 m32 m12 • For three generations of massive neutrino, the weak eigenstates are • not the same as the mass eigenstates: Pontecorvo-Maki- Nakagawa-Sakata Matrix • Parametrize the PMNS matrix as: Majorana phases solarnreactornatmosphericnneutrinoless reactornaccelerator LBL n accelerator LBL n double- decay Six parameters: 2 m2, 3 angles, 1 phase+ 2 Majorana phases Daya Bay Experiment
Neutrino Oscillation • The probability ofne X disappearance is: • The probability ofnm neappearance is given by: Daya Bay Experiment
Current Status of Mixing Parameters (23, m232) m232 =(2.4+0.4-0.3)10-3 eV2 23 45 m221 =(7.8+0.6-0.5)10-5 eV2 12 =(32+4-3) (13, m231) Dm231Dm232 >> Dm221 q12andq23are large (12, m221) Unknowns:sin2213, , sign of m232 Daya Bay Experiment
Current Knowledge of 13 Sin2(213) < 0.18 Sin2(213) < 0.09 At m231 = 2.5103 eV2, sin22 < 0.15 Maltoni etal., New J. Phys. 6,122(04) Daya Bay Experiment
Some Ideas For Measuring13 absorber decay pipe detector p target horn + + + • Method 1: Accelerator Experiments • appearance experiment: • need other mixing parameters to extract 13 • baseline O(100-1000 km), matter effects present • expensive • Method 2: Reactor Experiments • disappearance experiment: e X • baseline O(1 km), no matter effects • • relative cheap Daya Bay Experiment
90% CL Reactor w 100t (3 yrs) + Nova Nova only (3yr + 3yr) Reactor w 10t (3yrs) + Nova Synergy of Reactor and Accelerator Experiments Reactor experiments can help in Resolving the23 degeneracy (Example: sin2223 = 0.95 ± 0.01) Δm2 = 2.5×10-3 eV2sin2213 = 0.05 Reactor w 100t (3 yrs) +T2K T2K (5yr,n-only) Reactor w 10t (3 yrs) +T2K 90% CL 90% CL Reactor experiments provide a better determination of 13 McConnel & Shaevitz, hep-ex/0409028 Daya Bay Experiment
Reactor e For 235U fission, for instance, 2 3 5 U n X X 2 n + + + 92 1 2 where X1 and X2 are stable nuclei e.g. e/MeV/fisson 1 4 0 Ce 94 Zr 58 yielding a total of 98 protons, whereas 235U has 92 protons. That is, on average, 6 neutrons must beta decay, giving 6 es(per ~200 MeV). 40 3 GWthgenerates 6 × 1020 ne per sec Daya Bay Experiment
e p e+ + n (prompt) + p D + (2.2 MeV) (delayed by ~180 s) • + Gd Gd* + ’s(sum = 8 MeV) (delayed by ~30 s) n m Detection of in liquid scintillator:Inverse Decay Time-, space- and energy-tagged signal is a good tool to suppress background events. Energy of eis given by: E Te+ + Tn + (mn - mp) + m e+ Te+ + 1.8 MeV 10-40 keV Threshold of inverse decay is about 1.8 MeV; thus only about 25% of the reactor eis usable. Daya Bay Experiment
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How To Measure 13 With Reactor e? 1. Rate deficit: deviation from 1/r2 expectation 2. Spectral distortion Daya Bay Experiment
235U 239Pu 238U 241Pu 0 0.5 1 1.5 2 2.5 3 3.5 normalized flux times cross section (arbitrary units) 2 3 4 5 6 7 8 9 10 E (MeV) Time Variation of Fuel Composition Typically known to ~1% Daya Bay Experiment
Uncertainty in ne Energy Spectrum Bugey3 Measurement Best calculation Gösgen Bugey3 Measurement first-principle calculation • Three ways to obtain the energy spectrum: • Direct measurement • First principle calculation • Sum up anti-neutrino spectra from 235U, 239Pu, 241Pu and 238U 235U, 239Pu, 241Pu from their measured b spectra 238U(10%) from calculation (10%) • Measurements agree with calculations to ~2% Daya Bay Experiment
Background 12B 12N Keep everything as radioactively pure as possible! KamLAND Depends on the flux of cosmic muons in the vicinity of the detector Go as deep as possible! Daya Bay Experiment
Location of Daya Bay • 45 km from • Shenzhen • 55 km from • Hong Kong Daya Bay Experiment
The Site LingAo II NPP: 2 2.9 GWth Ready by 2010 Daya Bay NPP: 2 2.9 GWth LingAo NPP: 2 2.9 GWth Daya Bay Experiment
9. Hamaoka(Japan) (5) 0 2 4 6 8 10 12 14 16 18 20 22 24 26 GWth Ranking of Nuclear Power Plants 1. Kashiwazaki (Japan) (7) 2. Zaporozhye (Ukraine) (6) 3. Yonggwang(S. Korea) (6) 3. Ulchin(S. Korea) (6) 5. Gravelines (France) (6) 6. Paluel (France) (4) 6. Cattenom(France) (4) 8. Fukushima Daiichi(Japan) (6) 10. Ohi(Japan) (4) 11. Fukushima Daini(Japan) (4) 12. Daya Bay-Ling Ao(China) (4+2) ~2010 Daya Bay Experiment
Horizontal Access Tunnels • Advantages of horizontal access tunnel: • - mature and relatively inexpensive technology • - flexible in choosing overburden • - relatively easy and cheap to add expt. halls • - easy access to underground experimental facilities • - easy to move detectors between different • locations with good environmental control. Daya Bay Experiment
A ~1.5 km-long Tunnel Onsite Daya Bay Experiment
Cross Section of Tunnel For Daya Bay Experiment 7.2 m 1.2 m 1.2 m 3.2 m 3.2 m 0.8 m Daya Bay Experiment
Where To Place The Detectors ? Sin2(2q13) = 0.1 Dm231 = 2.5 x 10-3 eV2 Sin2(2q12) = 0.825 Dm221 = 8.2 x 10-5 eV2 ne far detector to measure changes at L2 reactor near detector to measure raw flux at L1 Daya Bay Experiment
Where To Place The Detectors At Daya Bay? ~1700 m Ling Ao Daya Bay Daya Bay Experiment
Possible Locations of Detector Sites Far site Empty detectors are moved to underground halls through an access tunnel with 8% slope. Filled detectors can be swapped between the underground halls via the 0%-slope tunnels. 570 m Ling Ao Near 1175 m Ling Ao-ll NPP (under const.) 590 m Ling Ao NPP Excess portal Daya Bay Near Daya Bay NPP Daya Bay Experiment
Entrance portal Location of Tunnel Entrance Daya Bay Experiment
Location of Daya Near Detector Daya Bay Experiment
Location of Ling Ao Near Detector Daya Bay Experiment
Location of Far Detector Daya Bay Experiment
A Versatile Site • Rapid deployment: • Daya near site + mid site • 0.7% reactor systematic • error • Full operation: • (1) Two near sites + Far site • (2) Mid site + Far site • (3) Two near sites + Mid site + Far site • Internal checks, each with different • systematic Daya Bay Experiment
m231 = 2 10-3 eV2 DYB: B/S = 0.5% LA: B/S = 0.4% Mid: B/S = 0.1% Far: B/S = 0.1% Solid lines : near+far Dashed lines : mid+far What Target Mass Should Be? Systematic error (per site): Black : 0.6% Red : 0.25% Blue : 0.12% Daya Bay Experiment
20t Gd-doped LS buffer gamma catcher Conceptual Design of Detector Modules • Three-layer structure: I. Target: Gd-loaded liquid scintillator II. Gamma catcher: liquid scintillator, 45cm III. Buffer shielding: mineral oil, ~45cm • Possibly with diffuse reflection at ends. For ~200 PMT’s around the barrel: 40 t Daya Bay Experiment
~350 m ~98 m ~208 m ~97 m Cosmic-ray Muon • Apply the Geiser parametrization for cosmic-ray flux at surface • Use MUSIC and mountain profile to estimate muon flux & energy near site far site Daya Bay Experiment
Conceptual Design of Shield-Muon Veto • Detector modules enclosed by 2m+ of water to shield neutrons and gamma-rays from surrounding rock • Water shield also serves as a Cherenkov veto • Augmented with a muon tracker: scintillator strips or RPCs • Combined efficiency of Cherenkov and tracker > 99.5% PMTs Tracker detector module rock Daya Bay Experiment
Alternative Design top of water pool 40t-3 layer module Daya Bay Experiment
Background Inside Detector • Two classes of background: • Uncorrelated: • Accidental─ random coincidence of two unrelated events appear close in space and time. • 2.Correlated: • Fast neutron ─ a fast spallation neutron gets into the detector, creates a prompt signal (knock-out proton), thermalizes and is captured. • Cosmogenic isotopes─ 9Li and 8He with β-n decay modes are created in spallation of μ with 12C. The • decays mimic the antineutrino signal. Daya Bay Experiment
-n Decay Of 8He And 9Li τ½ = 178 ms 49.5% Correlated τ½ = 119 ms 16% Correlated Correlated final state: β+n+2α Correlated final state: β+n+7Li Daya Bay Experiment
Background 20t module • Use a modified Palo-Verde-Geant3-based MC to model response of detector. • Cosmogenic isotopes: 8He/9Li which can -n decay - Cross section measured at CERN (Hagner et. al.) - Can be measured in-situ, even for near detector with muon rate ~ 10 Hz. The above number is before shower-muon cut which can further reduce cosmogenic background. Daya Bay Experiment
Detector Systematic Issues • Potential sources of systematic uncertainty are: • detector efficiency • gadolinium fraction (neutron detection efficiency) • target mass • target chemistry: fraction of free proton (target • particle) in terms of hydrogen/carbon • trigger efficiency • cut efficiency • live time • surprises at the 0.01 level Daya Bay Experiment
Possible Solutions • Relative detector efficiency • Calibrate all detectors with the same set of • radioactive sources. • Gd fraction • (i) Control synthesis of liquid scintillator • (ii) Measure the Gd- to H-capture ratio • Target mass • (i) Use the same batch or equally splitting batches • of liquid scintillator, and measure flow rates • (ii) Use eevents to cross calibrate, implying moving • detectors. Daya Bay Experiment
Detector Systematic Uncertainties 0.25% 0.1 0.1 0.1 relative measurement absolute measurements per module Daya Bay Experiment
Geotechnical Survey • Topography survey: Completed • Geological Survey: Completed • Verified topographic information • Generated new map covering 7.5 km2 • Geological Physical Survey: Completed • High-resolution electric resistance • Seismic • Micro-gravity • Bore-Hole Drilling: November-December, 2005 raw data Daya Bay Experiment
Far site 1600 m from Lingao 1900 m from Daya Overburden: 350 m Ling Ao Near 500 m from Lingao Overburden: 98 m Mid site ~1000 m from Daya Overburden: 208 m Ling Ao-ll NPP (under const.) 672 m (12% slope) Ling Ao NPP 8% slope Daya Bay Near 360 m from Daya Bay Overburden: 97 m Daya Bay NPP Total length: ~3200 m Daya Bay Experiment
Sensitivity of sin2213 • Daya Bay site - baseline = 360 m - target mass = 40 ton - B/S = ~0.5% • LingAo site - baseline = 500 m - target mass = 40 ton - B/S = ~0.5% • Far site - baseline = 1900 m to DYB cores 1600 m to LA cores - target mass = 80 ton - B/S = ~0.2% • Three-year run (0.2% statistical error) • Detector residual error = 0.2% • Use rate and spectral shape 90% confidence level 2 near + far near (40t) + mid (40 t) 1 year Sept, 2005 Daya Bay Experiment
sin2213 = 0.02 sin2213 = 0.1 Precision of m231 Daya Bay Experiment
Gd-loaded Liquid Scintillator • It can significantly reduce backgrounds (short capture time, high capture energy) • Problems: (a) doping Gd into organic LS from inorganic Gd compound and achieve Light yield =55% of anthracene Att. length = 11m (b) Aging Palo Verde: 0.03%/day Chooz: 0.4%/day Daya Bay Experiment
Synthesis of Gd-loaded Liquid Scintillator • Investigating a few candidates at IHEP: One candidate: - 0.1% Gd (D2EHP-ligand) in 20% mesitylene-80% dodecane • Light yield: 91% of pure LS • attenuation length = 6.2 m • stable for more than two months: - no effect on acrylic • R&D collaborative effort at BNL: • - Gd (carboxylate ligands) in PC and • dodecane • - all stable for almost a year Daya Bay Experiment
Prototype Detector at IHEP • Constructing a 2-layer prototype with • 0.5 t Gd-doped LS enclosed in 5 t of • mineral oil, and 45 8” PMTs to evaluate • design issues at IHEP, Beijing PMT mount Steel tank Front-end board (version 2) acrylic vessel Daya Bay Experiment
The Aberdeen Tunnel Experiment • Study cosmic muons & cosmogenic background in Aberdeen Tunnel, Hong Kong. Overburden ~ Daya Bay sites similar geology between Aberdeen and Daya Bay Installing proptubes in Sept, 2005 Daya Bay Experiment
Precision Measurement of 12 and m221 Daya Bay Experiment
Precise Measurement of 12 • Since reactor eare low-energy, it is a disappearance experiment: Large-amplitude oscillation at ~55 km due to 12 • Near detectors close to • reactors measure raw flux • and spectrum of e, reducing • reactor-related systematic • Position a far detector near • the first oscillation maximum • to get the highest sensitivity • of 12 KamLAND Sin2(2q13) = 0.1 Dm231 = 2.5 x 10-3 eV2 Sin2(2q12) = 0.825 Dm221 = 8.2 x 10-5 eV2 Daya Bay Experiment
Location of Hong Kong Site For 12 Measurement Daya Bay NPP ~55 km Shenzhen Tai Mo Shan (957 m) Hong Kong Daya Bay Experiment