--
ColinMclean - 15 Dec 2006
To get the
OneAngle Tranversity Code do the Following:
- cvs co Analysis/Bs2Jpsiphi/OneAngle
- cd src/ and make. Note currently the code complies only on slc3 machines with Root 5.16. This is due to the GLS library dependences.
- To run the code: cd exe/ and run the executable ravenFitter3: ./ravenFitter3 131000 Template/NominalParm.txt Template/Environment.txt
Very Early Results (Needs Updating)
Complete parameter list of nominal values used for the one angular Bs → J/Ψ Φ fit.
Fitting Parameter |
Nominal Value |
wrong tag Rate |
0.3 |
Φ_s |
-0.04 |
Δ Γ |
0.102 |
Γ ‾ |
0.680 |
Rt |
0.2 |
Fix Parameters |
Nominal Values |
tagging |
1 or 0 |
Δ Ms |
17.33 |
Bs Mass |
5.36 |
σ (Bs) |
0.018 |
σ (Pt) |
0.03 |
Resolution Parameters |
Nominal Value |
f1 |
0.8 |
S1 |
0.0584 |
S2 |
0.471 |
mu1 |
0.0022 |
mu2 |
-0.1114 |
Accp. |
2.81 |
Explimation of Parameters:
- The definition of Φ _s, in the SM, is: Φ _s ∼ -2 χ = -2 λ ^2 η ∼ -0.04. This is what is used in our code.
- The definition of Δ Γ , from the PDG, is: Δ Γ = Γ_L - Γ_H.
Notes on Fitting Studies:
- Assume 130k events (Luis Fernandez CERN-THESIS-2006-042 'LFCERN') including detector and acceptances. Assume the background-to-signal ratio is 0.13 (LFCERN). Then the number of signal events will be 130k/1.15 = 113k events.
- Assume that with no detector acceptance 14%(my study!) more signal events occur. In other words, no acceptance implies 150k signal events.
- Three catagories of studies: 1) Perfect Detector Acceptance and Resolution 2) Perfect Detector Accpetance; but Detector Resolution 3) Detector Acceptance and Resolution.
- Within each catagory the following studies are performed:
One Parameter Fit Parameter set value Φ_s -0.1, -0.2, -0.04 Rt 0.1, 0.15, 0.2 Δ Γ 0, 0.102, 0.136 Two Parameter Fit Γ and Δ Γ 0.68, 0.102 Φ_s and Δ Γ -0.04, 0.102 Φ_s and Rt -0.04, 0.2 Three Parameter Fit Φ_s, Δ Γ and Rt -0.04, 0.102, 0.2 Five Parameter Fit Φ_s, Δ Γ, Γ, w and Rt -0.04, 0.102, 0.68, 0.3, 0.2
One Parameter Fit Studies:
Catagory of Study |
Parameter |
Initial Value |
Fit value |
σ (Parameter) |
One |
Φ_s |
-0.2 |
-0.202 |
0.012 |
|
-0.1 |
-0.099 |
0.013 |
|
-0.04 |
-0.041 |
0.015 |
|
Rt |
0.1 |
0.09 |
0.008 |
|
0.2 |
0.199 |
0.008 |
|
0.3 |
0.3 |
0.008 |
|
Δ Γ |
0.0 |
0.008 |
0.00 |
|
0.102 |
0.1022 |
0.008 |
|
0.136 |
0.136 |
0.008 |
Correlation Fit Studies:
Catagory of Study |
Parameter |
Initial Value |
Fit value |
σ (Parameter) |
One |
Φ_s |
-0.04 |
-0.04 |
0.015 |
|
Δ Γ |
0.102 |
1.025 |
0.008 |
_ |
_ |
_ |
_ |
_ |
|
Δ Γ |
0.102 |
0.1015 |
0.012 |
|
Γ |
0.68 |
- |
- |
_ |
_ |
_ |
_ |
_ |
|
Φ_s |
-0.04 |
-0.041 |
0.015 |
|
Rt |
0.2 |
0.19 |
0.008 |
Many Parameter Fit Studies:
Catagory of Study |
Parameter |
Initial Value |
Fit value |
σ (Parameter) |
One |
Φ_s |
-0.04 |
-0.04 |
0.014 |
|
Δ Γ |
0.102 |
1.025 |
0.0085 |
|
Rt |
0.2 |
0.201 |
0.0082 |
_ |
_ |
_ |
_ |
_ |
* |
Φ_s |
-0.04 |
-0.041 |
0.008 |
|
Δ Γ |
0.102 |
0.101 |
0.013 |
|
Γ |
0.68 |
0.67 |
0.009 |
|
Rt |
0.2 |
0.2 |
0.008 |
|
w |
0.3 |
0.29 |
0.33 |
Note:
- (*)The above 5 parameter fit is nonsense! This is because w and Φ_s cannot be fitted simultaneously. The problem lies in MINUIT, which returns the from the fit the Nominal vaules for Φ_s and w; i.e. becuse in he fitting function, Φ_s and w are multiplied together, MINUIT simply shifts one prameter up - and the other one down - until it get the best fit, and ocurs at the parameters nominal values. This has been proved by performing a Log Likelihood scan on w and Φ_s parameters. Shown in Figure 1 below:
Figure 1: LogLikelihood Scan
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