Baseline Optimization Studies D. Reyna Argonne National Lab
D. Reyna – Argonne National Lab2 1 May 2003 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? Bottom line: Can we achieve the desired sensitivity?
D. Reyna – Argonne National Lab3 1 May 2003 Independence of ∆m 2 solar atmospheric
D. Reyna – Argonne National Lab4 1 May 2003 Total Rate vs. Baseline E ν = 3.5 MeV Full Reactor Spectrum
D. Reyna – Argonne National Lab5 1 May 2003 Shape Comparison 1 km 100 m Make 2 Comparison Of Distributions Each bin normalized to total at that location Errors are statistical only
D. Reyna – Argonne National Lab6 1 May 2003 2 Comparisons Combined: Shape Test: Minimizes Detector Specific Systematics Loss of overall rate information Assumes Identical Detectors More Statistical Power
D. Reyna – Argonne National Lab7 1 May 2003 Optimizing 2 Locations 2 Identical Detectors Fix 1 Detector Baseline Sweep the Other
D. Reyna – Argonne National Lab8 1 May 2003 Optimizing 2 Locations (cont’d) 100m 500m 1km 1.5km2km
D. Reyna – Argonne National Lab9 1 May 2003 Statistical Power of Combined 2 Test Combined (stat only) Combined (+ 1% sys) Shape Only (stat only) Shape Only (+ 1% sys)
D. Reyna – Argonne National Lab10 1 May 2003 Secondary Maxima? Combined (stat only) Combined (+ 1% sys) Shape Only (stat only) Shape Only (+ 1% sys)
D. Reyna – Argonne National Lab11 1 May 2003
D. Reyna – Argonne National Lab12 1 May % Confidence Limits
D. Reyna – Argonne National Lab13 1 May 2003 Short and Long Solutions
D. Reyna – Argonne National Lab14 1 May 2003 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 3 rd detector?