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Hi Heiko, 

we still need to make things work on MC, we hope to complete this today
(sulle ali dell'entusiasmo...). Should we report at the SL meeting? I
can prepare something, but I am not sure I will be able to show up at
the meeting, last night has been very long ;-) 

W l'Italia! Concezio. 


Il giorno lun, 10-07-2006 alle 10:00 +0200, Heiko Lacker ha scritto:
> Hi Concezio,
> 
> first of all: congratulations to the new world champion!
> 
> Second:       Very good progress!
>               This looks like a real step forward.
> 
> Cheers,
> Heiko
> 
> 
> On Fri, 7 Jul 2006, Concezio Bozzi wrote:
> 
> > Hi, 
> > here are some results for the double ratio 
> > 
> > (signal/peakingBG)_MCenriched
> > -----------------------------
> > (signal/peakingBG)_MCdepleted
> > 
> > 
> > as a function of mx. We use this double ratio, multiplied by the ratio
> > (signal/peakingBG) in the depleted data sample, in order to fix the
> > (signal/peakingBG) components in the mES fits on data after all cuts as
> > a function of mx. 
> > 
> > The various signal (S) and peakingBG (P) components of this double ratio
> > on MC can be computed on either:
> > 
> > (1) the entire MC sample, by performing a 3-parameter fit to S, P and
> > combinatorialBG (B) 
> > 
> > or 
> > 
> > (2) on separate "signal" (reconstructed Breco mode == true Breco mode)
> > and "background" (reconstructed Breco mode != true Breco mode) samples.
> > In this case, the signal sample is used to determine S, whereas the
> > background sample is used to determine P and B. 
> > 
> > Method (2) has a number of advantages on method (1): 
> > - the uncertainty on S and P is smaller 
> > - the bias on S is reduced, since we don't risk to mix up/swap signal
> > and peaking background due to the very similar functional forms of their
> > PDFs. 
> > 
> > The spreadsheet attached to this message proves the above two
> > statements. 
> Excellent!
> 
> > The upper part of the spreadsheet contains the results obtained with
> > method (1), the lower part refers to method (2).  Look e.g. at the
> > errors on the peaking background numbers on the enriched sample on
> > column E5-E14 for method (1) and E18-E27 for method (2). The same is
> > true on the depleted sample (column Q) and for the signal yields
> > (columns K and W). 
> > 
> > The bias in method (1) on the number of fitted signal and background
> > events (columns I5-I14, U5-U14 for signal, AH5-AH14, AI5-AI14 for
> > background) is also evident by comparing them to the number of expected
> > events in the datasets (respectively: columns AI18-AI27, AI31-AI40 for
> > signal, AH18-AH27, AH31-AH40 for background). 
> > 
> > The double ratios which come out are flat as a function of mx and are
> > compatible with 1, see the light blue cells in the spreadsheet, or the
> > attached eps file (The number for the last bin in mx is not meaningful
> > since there are very few events in the mES plot). 
> > 
> > The bottom line is that the signal/peaking background in the mES fitss
> > can be fixed in our data to the values which we obtain on the depleted
> > sample, times a MC correction which turns to be about 1 within 10% and a
> > ~10% uncertainty, which gets higher at high mx. 
> > 
> > This is not the end of the story, of course. The study needs to be
> > repeated on the MC samples which we use in VVF (vcb+other, vubIN,
> > voubOUT), since we have to fix the signal/peaking background components
> > in there as well... 
> > 
> > Stay tuned, Antonio&Concezio. 
> >