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Hi Bob,

new plots are posted here:

http://babar-hn.slac.stanford.edu:5090/hn/aux/petrella/SF.ps

now the agreement in the mx and P+ spectra has improved

ciao,
  Antonio

[log in to unmask] ha scritto:
> Hi Antonio,
> 
>     For the record, now that we have the moments fixed for the three
> different functional ansatze can you remake the plots of the kinematic
> variables that you did previously?
> 
> Bob
> 
> On Fri, 6 Jul 2007, Antonio Petrella wrote:
> 
>> Hi all,
>> I've recalculated the parameters for the three ansaetze.
>> Here are their values:
>>
>> -- Exponential --
>>    a = 1.32669
>> 0th moment = 1
>> 1st moment = 0
>> 2nd moment = 0.165477
>>
>> -- Gaussian --
>>    c = 0.3057134
>> 0th moment = 1
>> 1st moment = 0
>> 2nd moment = 0.165495
>>
>> -- Roman --
>>   rho = 0.2667075
>> 0th moment = 1
>> 1st moment = 0
>> 2nd moment = 0.165480
>>
>> New plots for the shape functions and their cumulative distributions are
>> posted at:
>> http://babar-hn.slac.stanford.edu:5090/hn/aux/petrella/SFplot_new.ps
>> I would say that now we can trust efficiencies calculated using these
>> parametrizations.
>>
>> ciao,
>>   Antonio
>>
>> Luth, Vera G. wrote:
>>> Thank you Antonio,
>>> This clearly explains the problem.  As you change the ansatz for the SF,
>>> the parameters have to be adjusted!
>>>
>>> Ciao
>>> Vera
>>>
>>> -----Original Message-----
>>> From: [log in to unmask]
>>> [mailto:[log in to unmask]] On Behalf Of Antonio
>>> Petrella
>>> Sent: Thursday, July 05, 2007 6:56 AM
>>> To: vub-recoil
>>> Subject: Shape Function form
>>>
>>> Hi all,
>>>
>>> as Kerstin suggested in her message
>>> http://babar-hn.slac.stanford.edu:5090/HyperNews/get/rev-SemiLep-06-04/1
>>> 7/2.html,
>>> I checked the first moments for each shape function ansatz (exponential,
>>>
>>> gaussian and roman) that I have implemented in my private version of
>>> EvtGenModels in order to compute the correct phase space acceptance
>>> needed for the calculation of tag efficiency when estimating the
>>> uncertainties due to the different ansateze.
>>>
>>> The implementation of the SF formulae has been copied from the package
>>> VubHybridModel.
>>>
>>> For each ansatz the same values for mb (4.6586) and a (1.32669)
>>> parmeters are used, only the form is changed.
>>>
>>> We know that the 0th moment (A0) has to be equal to 1, the 1st moment
>>> (A1) has to be equal to 0 and the 2nd moment (A2) has to be equal to
>>> 1/3*mu_pi^2.
>>>
>>> Here's what I get:
>>> -- Exponential form --
>>>   A0=1
>>>   A1=0
>>>   A2=0.165477
>>>
>>> Being A2 = (mB-mb)^2/(1+a), I could double check that is correctly
>>> computed since I provide the masses and the a parmeter from the
>>> decay.dec file: mB=5.2791, mb=4.6586 and a=1.32669, giving A2=0.165458.
>>>
>>> -- Gaussian form --
>>>   A0=1
>>>   A1=0
>>>   A2=0.089637
>>>
>>> -- Roman form --
>>>   A0=1
>>>   A1=0
>>>   A2=0.086776
>>>
>>> A2 is changing so mu_pi^2 is changing too.
>>>
>>> I have also made plots of the shape functions:
>>> http://babar-hn.slac.stanford.edu:5090/hn/aux/petrella/SFplot.ps
>>> one can easily see that they're pretty different.
>>>
>>> I'm a bit puzzled: should the a parameter be equal for all the forms? It
>>>
>>> seems, in this case, that there is no way to have mu_pi^2 unmodified.
>>>
>>> Do you have any comment on this?
>>>
>>> cheers,
>>>   Antonio
> 
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> / Robert V. Kowalewski            \/  Dept. of Physics and Astronomy \
> \ particle.phys.uvic.ca/~kowalews /\  University of Victoria         /
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