Following plots are output of Likelihood PE (measured width distributions) with varying JES for different input top width.
Overlay for JES = -1
Overlay for JES = 0
Overlay for JES = +1
Overlay of JES = -1, 0, +1 for the input top width 1.5 GeV
Table of the means of the width distributions
Input Top Width
Mean(JES = -1) (GeV)
Mean(JES = 0) (GeV)
Mean(JES = +1) (GeV)
1.5 GeV
0.27
1.90
5.69
5 GeV
3.57
5.71
9.32
15 GeV
12.12
12.57
17.73
30 GeV
24.58
26.67
31.04
50 GeV
36.3
38.98
42.48
Input Top Width
Mean(JES = -1) - Mean(JES = 0) (GeV)
Mean(JES = +1) - Mean(JES = 0) (GeV)
1.5 GeV
-1.63
3.79
5 GeV
-2.14
3.61
15 GeV
-0.45
5.16
30 GeV
-2.09
4.37
50 GeV
-2.68
3.50
JES shifts for Gamma = 1.5 GeV
JES is varied from -2.0 to +2.0 with 0.5 spacing.
Convolution for input top width 1.5 GeV
The black function is the convoluted width function. (width function * Probability vs Shifts of the width) The red function is the original fitted width function.
Pt-dependent extra smearing. Amount of extra smearing is calculated using the following equation: smearing = 0.02878 + 1.704/Pt (cdfNote 7856).
Since input top width = 15 GeV gives us the largest shifts in the mean of measured top width distribution, we use 2.836 GeV as the jet resolution systematic and convolute in Feldman-Cousins.
Acceptance Ratio for 2-tag sample is calculated by (# of events that are in mass2tag_nochi)/(# of events that passed the good run requirements). Similarly for 1-tagT sample (labeled as 1-tag).
Because the shape of the width shifts vs ISR syst (or FSR syst) is not known, we tested linear and second order polynomial fit.
The left CL bands are assuming the second order polynomial functional form for ISR and FSR systematics. The right CL bands are assuming the linear functinal form for ISR and FSR systematics. Second order polyomials gives us higher limit on the top width than the linera fit. So being conservative, we chose the second order polynomial fit to ISR and FSR systematics.
These are results for limit setting PEs using confidence bands with systematic uncertainties. Left is the results of PEs using input top widht 1.5 GeV samples and right is the result of PEs using input top width of 30 GeV. The results look what we expect. (higher top width limit on the average)
