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This seminar discusses the measurement of theta13 (θ13) through experiments involving neutrinos, emphasizing the importance of this parameter in understanding neutrino oscillations. Various experiments, such as appearance and disappearance experiments, are outlined alongside reactor setups and systematic uncertainties. Considerations for reactor flux, detector efficiency, and background reduction are explored. Examples of ongoing reactor experiments at different locations are provided, showcasing efforts to narrow down constraints on neutrino oscillation parameters.
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Measuring q13 with Reactors Stuart Freedman University of California at Berkeley SLAC Seminar September 29, 2003
q13 How to Weigh Dumbo’s Magic Feather I am going to argue that -- the fastest and cheapest way to determine the value of Sin22q13 is to measure two big things and subtract the results. - =
UMNSP Matrix 12 ~ 30° tan2 13 < 0.03 at 90% CL 23 ~ 45° Mass Hierarchy
What do we know and how do we know it Slide Courtesy of B. Kayser
L. Wofenstein B. Kayser S. Bilenky S. Glashow A Smirnov Testimonials
absorber decay pipe detector p target horn + + + e e e Measuring13 Accelerator Experiments • appearance experiment • measurement of e and e yields 13,CP • baseline O(100 -1000 km), matter effects present Reactor Neutrino Oscillation Experiment • disappearance experiment • but: observation of oscillation signature with 2 or multiple detectors • look for deviations from 1/r2 • baseline O(1 km), no matter effects
Figuring out CP for leptons Minakata and Nunokawa, hep-ph/0108085
d2 d1 Detector 2 Detector 1 Reactor Experimental Design
First Direct Detection of the Neutrino Scintillator ne e+ n 2.2MeV n m Reines and Cowan 1956
235U fission Neutrino Spectra from Principal Reactor Isotopes
20 m KamLAND 4 m Chooz 1m Long Baseline Reactor Neutrino Experiments Poltergeist
Inverse Beta Decay Signal from KamLAND from 12C(n, g ) tcap = 188 +/- 23 msec
q13 at a US nuclear power plant? Site Requirements • powerful reactors • overburden • controlled access
scintillator e detectors e + p e+ + n coincidence signal prompt e+ annihilation delayed n capture (in s) e,, ~ 1.5-2.5km e < 1 km • • No degeneracies • • No matter effects • • Practically no correlations • E = Ee + mn-mp • Eprompt = Ekin + 2me • disappearance experiment • look for rate deviations from 1/r2 and spectral distortions • observation of oscillation signature with 2 or multiple detectors • baseline O(1 km), no matter effects
Detector Event Rate/Year ~250,000 ~60,000 ~10,000 Statistical error: stat ~ 0.5%for L = 300t-yr Statistical Precision Dominated by the Far Detector
Diablo Canyon Variable Baseline 2 or 3 detectors in 1-1.5 km tunnel
IIIb IIIa Ge Geology II I • Issues • folding may have damaged rock matrix • - steep topography causes landslide risk • tunnel orientation and key block failure • seismic hazards and hydrology
Detector Concept muon veto acrylic vessel 5 m liquid scintillator buffer oil 1.6 m passive shield Variable baseline to control systematics and demonstrate oscillations (if |13| > 0)
6 10 5 m Movable Detectors 1-2 km ~12 m • Modular, movable detectors • Volume scalable • Vfiducial ~ 50-100 t/detector
Kashiwazaki:13 Experiment in Japan - 7 nuclear reactors, World’s largest power station far near near Kashiwazaki-Kariwa Nuclear Power Station
Kashiwazaki:Proposal for Reactor 13 Experiment in Japan far near near 70 m 70 m 200-300 m 6 m shaft hole, 200-300 m depth
~20000 ev/year ~1.5 x 106 ev/year Kr2Det: Reactor 13 Experiment at Krasnoyarsk Features - underground reactor - existing infrastructure Detector locations constrained by existing infrastructure Reactor Ref: Marteyamov et al, hep-ex/0211070
Systematic Uncertainties % Total LS mass 2.1 Fiducial mass ratio 4.1 Energy threshold 2.1 Tagging efficiency 2.1 Live time 0.07 Reactor power 2.0 Fuel composition 1.0 Time lag 0.28 e spectra 2.5 Cross section 0.2 Total uncertainty 6.4 % E > 2.6 MeV
. flux < 0.2% rel eff ≤ 1% target ~ 0.3% acc < 0.5% nbkgd< 1% Systematics Best experiment to date: CHOOZ Ref: Apollonio et al., hep-ex/0301017 Reactor Flux • near/far ratio, choice of detector location Detector Efficiency • built near and far detector of same design • calibrate relative detector efficiency variable baseline may be necessary Target Volume & • well defined fiducial volume Backgrounds • external active and passive shielding for correlated backgrounds Total syst ~ 1-1.5%
Optimization at LBNL ‘near-far’ L1 = 1 km L2 = 3 km ‘far-far’ L1=6 km L2=7.8 km MC Studies Normalization: 10k events at 10km Oscillation Parameters: sin2213 = 0.14 m2= 2.5 x 10-3 eV2
Sensitivity to sin2213at 90% CL cal relative near/far energy calibration norm relative near/far flux normalization Reactor I 12 t, 7 GWth, 5 yrs Reactor II 250 t, 7 GWth, 5 yrs Chooz 5 t, 8.4 GWth, 1.5 yrs fit to spectral shape Ref: Huber et al., hep-ph/0303232 Reactor-I: limit depends on norm (flux normalization) Reactor-II: limit essentially independent of norm statistical error only
Ref: Huber et al., hep-ph/0303232 statistics Statistics Systematics Correlations Degeneracies
Expected Constraints on13 Upper limits correspond to 90% C.L.