Summary of Results data-Fit/Scaled MC, E < E cut (candidates for + decay) data-Fit/Scaled MC, E > E...
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Transcript of Summary of Results data-Fit/Scaled MC, E < E cut (candidates for + decay) data-Fit/Scaled MC, E > E...
Summary of Results data-Fit/Scaled MC, E <
Ecut (candidates for + decay)
data-Fit/Scaled MC, E > Ecut
raw MC 375.8±15.1(stat) 79.5±9.2(stat)
reweighed MC 372.1±15.0(stat) 106.8±11.0(stat)
Scale method 1 1015.6 -211.8
Scale method 2 1001.8 -213.9
Scale method 3 806.2 -234.6
Scale method 4 1640.7 -43.2
Scale method 5 540.3 -53.45
Fit method 1 546.4 1.9
Fit method 2 -283.2 -138.9
Fit method 3 1395.4 -265.4
Expected to be negative
Should be ~0 if data/MC from
horn-off is trust worthy in this
region
Should be 0 by construction
Should be real nubars from +
all methods all methods (except fit method 2)
from + decay candidates from + decay candidates
In Scale Method 5 C(E) is approximated with:
Main idea of scaling methods is:
),()(),( KECK MCvv
Overall method:),(),,()( KK v
DATAvv
),,(),,(
KK
MCv
DATAv
Question is: how good is this approximation?
),(
),(
),,(
),,(
K
K
K
KMCv
DATAv
MCv
DATAv
Pol 4th deg
Then we have: ),,()1(),(
),,()1(),(
KfK
KfKMCv
MCMCv
DATAv
DATADATAv
Let be the fraction of + in the spectrum (Data)
Let be the fraction of + in the spectrum (MC)
DATAfMCf
Clearly if then MCDATA ff )(
),(
),(
),,(
),,(EC
K
K
K
KMCv
DATAv
MCv
DATAv
thus giving:
),,(
),,(
1
1
),(
),(
K
K
f
f
K
KMCv
DATAv
MC
DATA
MCv
DATAv
MCf
Conservative scenario: differs from by 100%: DATAf MCf
MC
DATA
f
f
1
1
MCDATA ff 2
0DATAf
The data/MC horn-on ratio is then:
dataScaled MC, no +
dataScaled MC, no +
subtraction subtraction
from + candidates from + candidates
Proceeding with the analysis:
data-Fit/Scaled MC, E < Ecut (candidates for + decay)
data-Fit/Scaled MC, E > Ecut
raw MC 375.8±15.1(stat) 79.5±9.2(stat)
reweighed MC 372.1±15.0(stat) 106.8±11.0(stat)
Scale method 5 514.2±183.7(stat)±225.2(syst) 83.7±143.7(stat)±138.2(syst)
from + candidates
Stat
from + candidates
Syst
from + raw MC from + raw MC