See attached plots below:

 Ratio R is too low. See fit stats.

Muon Function

C=peak height (normalisation coefficient)

R=ratio independent to prompt Jpsi

  $f(t) = \frac{C}{\sqrt 2 \Pi \sigma}exp(-\frac{t^2}{2\sigma^2})     + \\     {\cal{R}}C\Gamma exp(\frac{\Gamma^2 \sigma^2}{2}-\Gamma t)\frac{1}{2}     \Big[1+erf(\frac{t-\Gamma \sigma^2}{\sqrt 2 \sigma})\Big]$ (1)

Asymmetric with peak position shift, m

t less than m:

   $f(t) = \frac{C}{\sqrt 2 \Pi \sigma_L}exp\Big(-\frac{t^2}{2\sigma_L^2}\Big)     + \\     {\cal{R}}C\Gamma \frac{\sigma_L}{\sigma_L+\sigma_R}exp\Big(\frac{\Gamma^2 \sigma_L^2}{2}-\Gamma (t-m)\Big)\     \Big[1+erf(\frac{(t-m)-\Gamma \sigma_L^2}{\sqrt 2 \sigma_L})\Big]$  (2)

t greater or equal to m:

   $f(t) = \frac{C}{\sqrt 2 \Pi \sigma_L}exp\Big(-\frac{t^2}{2\sigma_L^2}\Big) + \\ {\cal{R}}C\Gamma \frac{\sigma_R}{\sigma_L+\sigma_R} exp\Big( \frac{\Gamma^2 \sigma_R^2}{2}-\Gamma (t-m)\Big)  \Big[erf(\frac{\Gamma \sigma_R^2}{\sqrt 2 \sigma_R})+erf(\frac{(t-m)-\Gamma \sigma_R^2}{\sqrt 2 \sigma_R})\Big]  + \\     {\cal{R}}C\Gamma \frac{\sigma_L}{\sigma_L+\sigma_R} exp\Big( \frac{\Gamma^2 \sigma_L^2}{2}-\Gamma (t-m)\Big) \Big[1-erf(\frac{\Gamma \sigma_L^2}{\sqrt 2 \sigma_L}) \Big]  $  (3)

-- SueCheatham - 19-Feb-2010

Topic attachments
I Attachment History Action Size Date Who Comment
Unknown file formateps Cowboys.eps r1 manage 21.1 K 2010-02-20 - 13:59 SueCheatham Gamma fixed from total fit. RH sigma fixed from sailor fit. Peak shift fixed from asym gaus fit.
Unknown file formateps Sailors.eps r1 manage 21.6 K 2010-02-20 - 13:58 SueCheatham Peak position fixed from asym gaus fit
Unknown file formateps SailorsFixedRHS.eps r1 manage 21.2 K 2010-02-20 - 14:00 SueCheatham RH sigma fixed from Cowboy fit (LH sigma)
Unknown file formateps leeFit.eps r2 r1 manage 21.3 K 2010-02-20 - 13:57 SueCheatham Asymmetric function with peak shift. All events
Unknown file formateps muonFit.eps r2 r1 manage 20.9 K 2010-02-20 - 13:57 SueCheatham Muon Function, All events
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Topic revision: r4 - 2010-02-20 - SueCheatham
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