measuring q 13 with reactors stuart freedman hepap july 24, 2003 bethesda
DESCRIPTION
Measuring q 13 with Reactors Stuart Freedman HEPAP July 24, 2003 Bethesda. d 2. d 1. Detector 2. Detector 1. Reactor. MNSP Matrix. 12 ~ 30°. tan 2 13 < 0.03 at 90% CL. 23 ~ 45°. Mass Hierarchy. Figuring out CP for leptons. Minakata and Nunokawa, hep-ph/0108085. - PowerPoint PPT PresentationTRANSCRIPT
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Measuring 13 with ReactorsStuart Freedman
HEPAP July 24, 2003Bethesda
ReactorDetector 1Detector 2
d2
d1
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€
U =
Ue1 Ue2 Ue3
Uμ1 Uμ 2 U μ 3
Uτ1 Uτ 2 Uτ 3
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
=
cosθ12 sinθ12 0
−sinθ12 cosθ12 0
0 0 1
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟×
cosθ13 0 e−iδ CP sinθ13
0 1 0
−e iδCP sinθ13 0 cosθ13
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟×
1 0 0
0 cosθ23 sinθ23
0 −sinθ23 cosθ23
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟×
1 0 0
0 e iα / 2 0
0 0 e iα / 2+iβ
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
12 ~ 30° 23 ~ 45°tan2 13 < 0.03 at 90% CL
MNSP Matrix
Mass Hierarchy
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Minakata and Nunokawa, hep-ph/0108085
Figuring out CP for leptons
€
P(ν μ →ν e ) − P(ν μ →ν e ) = −16s12c12s13c132 s23c23 sinδ sin
Δm122
4EL
⎛
⎝ ⎜
⎞
⎠ ⎟sin
Δm132
4EL
⎛
⎝ ⎜
⎞
⎠ ⎟sin
Δm232
4EL
⎛
⎝ ⎜
⎞
⎠ ⎟
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?
€
Pee ≈1− sin2 2θ13 sin2 Δm312L
4Eν+
Δm212L
4Eν
⎛
⎝ ⎜
⎞
⎠ ⎟cos4 θ13 sin2 2θ13
1/r2
Pee, (4 MeV)
e fl
ux
The Basic Idea
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First Direct Detection of the Neutrino
Reines and Cowan 1956
e+
nE = 2200 keV
e E = 511 keV
E = 511 keV
€
E prompt ≅ Eν − En − 0.8 MeV
)2.2( MeVdpn +→+
nepe +→+ +
sτ 210≈
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Neutrino Spectra from Principal Reactor Isotopes
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Inverse Beta Decay Cross Section and Spectrum
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from 12C(n, )
τcap = 188 +/- 23 sec
Inverse Beta Decay Signal from KamLAND
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1m
Poltergeist
Chooz4 m
KamLAND20 m
Long Baseline Reactor Neutrino Experiments
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CHOOZ
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CHOOZ
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20
15
10
5
0
reactor neutrinos geo neutrinos background
25
20
15
10
5
086420
Prompt Energy (MeV)
2.6 MeVanalysis threshold
KamLAND data no oscillation best-fit oscillation
sin22=1.0Δm2=6.9 10x -5eV2
KamLAND
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detector 1
Future 13 Reactor Experiment
detector 2
Ratio of Spectra
Energy (MeV)
Two Detector Reactor Experiment
Spectral Ratio
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Sensitivity to sin2213 at 90% CL
Reactor-I: limit depends on norm (flux normalization)
Reactor-II: limit essentially independent of norm
statistical error only
fit to spectral shape
cal relative near/far energy calibration
norm relative near/far flux normalization
Reactor I12 t, 7 GWth, 5 yrs
Reactor II250 t, 7 GWth, 5 yrsChooz 5 t, 8.4 GWth, 1.5 yrs
Ref
: H
uber
et a
l., h
ep-p
h/03
0323
2
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Sensitivity to sin2213
Ref
: H
uber
et a
l., h
ep-p
h/03
0323
2
• sin2213 < 0.01-0.02 @ 90 CL within reach of reactor 13 experiments• Knowing 13 is useful for the “intelligent design” of a CP experiments. 10-110-210-3
Reactor Neutrino Measurement of 13
• No matter effect
• Correlations are small, no degeneracies
• Independent of solar parameters 12, Δm212
We need accelerators and reactors--Reactors first!
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Huber
et
al hep-p
h/0
30
30
23
2
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Ref: Marteyamov et al, hep-ex/0211070
Reactor
Detector locations constrained by existing infrastructure
Features - underground reactor - existing infrastructure
~20000 ev/year~1.5 x 106 ev/year
Kr2Det: Reactor 13 Experiment at Krasnoyarsk
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Kr2Det: Reactor 13 Experiment at Krasnoyarsk
Lnear= 115 m, Lfar=1000 m, Nfar = 16000/yr
Rat
io o
f Spe
ctra
Rat
io o
f Spe
ctra
Ref: Marteyamov et al., hep-ex/0211070.Energy (MeV)
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Kashiwazaki -7 nuclear power stations, World’s most powerful reactors
- requires construction of underground shaft for detectors
near near
far
Kashiwazaki-KariwaNuclear Power Station
Proposal for Reactor 13 Experiment in Japan
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near near
far
70 m 70 m
200-300 m
6 m shaft, 200-300 m depth
Kashiwazaki: Proposal for Reactor 13 Experiment in Japan
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13 at a US nuclear power plant?
Site Requirements
• powerful reactors
• overburden
• controlled access
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Berkeley 230 miles
Pasadena200 miles
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• Powerful: Two reactors (3.1+ 3.1 GW Eth) • Overburden: Horizontal tunnel could give 800 mwe shielding• Infrastructure: Construction roads. Controlled access. Close to wineries.
Diablo Canyon Nuclear Power Plant
1500 ft
2 underground detectors
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Detector Concept
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~60,000
~10,000
Statistical error: stat ~ 0.5% for L = 300t-yr
~250,000
Detector Event Rate/Year
Requirements: Overburden and Large Detectors
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Neutrino Detectors at Diablo Canyon
Possible location
Crowbar Canyon Parallel to Diablo Canyon
Existing road access
Possibility for good overburden
Tunnels in radial direction
from reactor
• 2 neutrino detectors, railroad-car size
• in tunnels at (variable) distance of
NEAR/FAR I: 0.5-1 kmFAR II: 1.5-3 km
Crowbar Canyon parallel to Diablo Canyon
FAR: ~ 600-800 mwe
NEAR: ~ 300-400 mwe
Overburden
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MC Studies‘far-far’ L1=6 km
L2=7.8 km‘near-far’ L1 = 1 km
L2 = 3 km
Oscillation Parameters:sin2213 = 0.14Δm2= 2.5 x 10-3 eV2
Optimization
P νe → νe( )≈sin4θ13+cos4θ13 1−sin2(2θ12) ⋅sin2 Δm122 L
4Eν
⎛
⎝ ⎜
⎞
⎠ ⎟
⎧ ⎨ ⎩
⎫ ⎬ ⎭
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Timescale and Size of a 13 Reactor Project
Moderate Scale ( < $50M ) Medium-size, low-energy experiment Little R&D necessary
(KamLAND, SNO, CHOOZ) Construction time ~ 2-3 yrs Start in
2007/2008?
2000 2005 2010
The Particle Physics Roadmap (in the US)
Δm223, 23
Reactor 13
13 CP
Reactor results will define the future of CP searches in the lepton sector and complement accelerator experiments
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Conclusions•Top priorities in neutrino physics include pinning down
MNS matrix elements and discovering CP violation.
• We will need a number of experiments to resolve ambiguities from matter effects and correlations.
• Reactor experiments and accelerator experiments are complementary.
• Reactor experiments have the potential of being faster, cheaper and better for establishing the value of 13.
• Executing a reactor experiment at an appropriate site should be put on a fast track.
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