Baseline Optimization Studies

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Baseline Optimization Studies D. Reyna Argonne National Lab Some Basic Questions Does sensitivity to θ 13 survive under complete 3 flavor mixing? How can we best use all of the information in the energy spectrum? What are the optimal locations for 2 identical detectors?

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### Baseline Optimization Studies

D. Reyna

Argonne National Lab

Some Basic Questions
• Does sensitivity to θ13 survive under complete 3 flavor mixing?
• How can we best use all of the information in the energy spectrum?
• What are the optimal locations for 2 identical detectors?
• Bottom line: Can we achieve the desired sensitivity?

D. Reyna – Argonne National Lab

Independence of ∆m2

solar

atmospheric

D. Reyna – Argonne National Lab

Total Rate vs. Baseline

Eν= 3.5 MeV

Full Reactor

Spectrum

D. Reyna – Argonne National Lab

Shape Comparison

Make 2

Comparison

Of

Distributions

100 m

1 km

• Each bin normalized to total at that location
• Errors are statistical only

D. Reyna – Argonne National Lab

Shape Test:

• Minimizes Detector Specific Systematics
• Loss of overall rate information
2 Comparisons

Combined:

• Assumes Identical Detectors
• More Statistical Power

D. Reyna – Argonne National Lab

0.0015

0.002

0.0025

0.003

0.0035

Optimizing 2 Locations
• 2 Identical Detectors
• Fix 1 Detector Baseline
• Sweep the Other

D. Reyna – Argonne National Lab

Optimizing 2 Locations (cont’d)

100m

1km

500m

1.5km

2km

D. Reyna – Argonne National Lab

Statistical Power of Combined 2 Test

Combined (stat only)

Combined (+ 1% sys)

Shape Only (stat only)

Shape Only (+ 1% sys)

D. Reyna – Argonne National Lab

Secondary Maxima?

Combined (stat only)

Combined (+ 1% sys)

Shape Only (stat only)

Shape Only (+ 1% sys)

D. Reyna – Argonne National Lab

90% Confidence Limits

D. Reyna – Argonne National Lab

Short and Long Solutions

D. Reyna – Argonne National Lab

Final Thoughts
• It is possible to get the desired sensitivity
• Optimal near detector location should be as close as possible
• A Detector should be at the first oscillation minimum (900 – 1400m)
• A farther location (~2.5km) yields almost as much statistical power
• Could be effective if a very near detector is not possible
• Possible 3rd detector?

D. Reyna – Argonne National Lab