-- ColinMclean - 15 Dec 2006

OneAngle Code

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

Useful Physics Talks:

Topic attachments
I Attachment History Action Size Date Who Comment
PDFpdf JoanVanHunen.pdf r1 manage 666.5 K 2006-12-15 - 14:29 ColinMclean  
PDFpdf LHCbPhysicsExpectation.pdf r1 manage 4310.7 K 2006-12-15 - 14:30 ColinMclean  
PDFpdf Luis_Frenandez.pdf r1 manage 755.0 K 2006-12-15 - 14:28 ColinMclean  
Unknown file formateps phis_w.eps r1 manage 15.6 K 2007-01-30 - 13:01 ColinMclean LogLikelihoodScan
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Topic revision: r7 - 2008-02-01 - ColinMclean
 
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