Difference between revisions of "Lmd eta three pion hlu"

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Question: Suppose there is an original function (e.g. Gaussian), what is the form of the function after bin-by-bin side-band subtraction
 
Question: Suppose there is an original function (e.g. Gaussian), what is the form of the function after bin-by-bin side-band subtraction
  
Answer: Suppose the function is y=f(x). The side-band subtraction makes a new function:[[File:formula.gif]]
+
Answer: Suppose the function is y=f(x). The side-band subtraction makes a new function:
 +
 
 +
[[File:formula.gif]]
  
 
===Test of the formula===
 
===Test of the formula===
 +
10M events of Gaussian distribution were generated for a histograms:
 +
 +
[[File:standard_gaussian_fit.png]]
 +
 +
side-band subtracted and plot together with the function:
 +
 +
[[File:side_band_subtracted_standard_gaussian_fit.png]]
  
 
==reference==
 
==reference==

Revision as of 21:05, 10 March 2014

Statistics

Fit missing mass of proton

Error creating thumbnail: File missing
fit missing mass of proton with linear background from g11 data. ~1.3M events
Error creating thumbnail: File missing
fit missing mass of proton with linear background from g12 data. ~1.5M events

More

File:Eta and eta prime two pion.pdf

Form of side-band subtraction histograms

Question: Suppose there is an original function (e.g. Gaussian), what is the form of the function after bin-by-bin side-band subtraction

Answer: Suppose the function is y=f(x). The side-band subtraction makes a new function:

Formula.gif

Test of the formula

10M events of Gaussian distribution were generated for a histograms:

Standard gaussian fit.png

side-band subtracted and plot together with the function:

Side band subtracted standard gaussian fit.png

reference