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Elena Guardincerri, 04/04/2012 12:16 PM

# 1) Sensitivity vs exposure plots at 1300km, LAr, s22theta13=0.1:----------------------------------------------------------------¶

## 1-3) Significance at which we determine dcp!=0 or pi as a function ofexposure. 2 plots, one for NH and one for IH. On each plot there are 3curves: a) CP frac at 25% b) CP frac at 50 % c) CP frac at75%. Standard setup.¶

MIB:
I use a custom tool (senseVlum, in SVN soon) for this. For each exposure I compute chi-squared at each dcp value using glbChiDelta and take the minimum between dcp_true=0 and dcp_true=pi. Each value is stored in an array which gets sorted. I then find the significance(=sqrt(chisquared)) at the 25th, 50th, and 75th percentile in this list. So the output file contains an entry for exposure (kt*years), 25% dcp coverage, 50% dcp coverage, and 75% dcp coverage.

Example of CPV significance vs exposure. This example is for the v3 LAr configuration without(left) and with(right) correlations. The hierarchy is assumed to be normal in these.

## 1-4) Significance at which we determine dcp!=0 or pi for CP frac = 50% with a) no theta13 constraint, with NDC b) theta13 constraint with NDC c) theta13 constraint and no NDC¶

MIB:
Same tool as in 1-3.
"no theta13 constraint, with NDC" is a run where the oscillation parameter errors for theta13 are set to zero which allows it to float without penalty in the glbChiDelta minimization.
"theta13 constraint with NDC" is just the same as the 50% curve in 1-3.
"theta13 constraint and no NDC" is with the constraint turned back on and with 5% for the signal normalization error and 15% for the background normalization error.

Example of CPV significance vs exposure. This example is for the v3 LAr configuration without (left) correlations (which causes the theta13 constraint to be meaningless) and with correlations (right). The hierarchy is assumed to be normal in these.

## 1-5) dcp resolution vs exposure plots for dcp = 0 and dcp = +pi/2, NH with a) no theta13 constraint, with NDC b) theta13 constraint with NDC c) theta13 constraint and no NDC¶

ETW:
I am using globes-accuracy to get chi2 values for a range of delta_cp values. I then fit the chi2 maps to get the 1-sigma resolution on delta_cp. This plot is delta_cp vs exposure for normal (known) hierarchy for delta_cp = 0,90,-90 for cases a,b,c.