Difference between revisions of "Lmd eta three pion hlu"

Revision as of 21:02, 10 March 2014

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fit missing mass of proton with linear background from g11 data. ~1.3M events

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fit missing mass of proton with linear background from g12 data. ~1.5M events

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:

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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
-Answer: Suppose the function is y=f(x). The side-band subtraction makes a new function:<math>y\prime=g(x)=f(x)-\frac{(f(x+\Delta x)+f(x-\Delta x)}{2}=\frac{1}{2}(f(x)-f(x-\Delta x))-\frac{1}{2}(f(x+\Delta x)-f(x))=\frac{\Delta x}{2}f\prime(x)-\frac{\Delta x}{2}f\prime(x+\Delta x)=\frac{(\Delta x)^2}{2}f\prime\prime(x)</math>
+Answer: Suppose the function is y=f(x). The side-band subtraction makes a new function:[[File:formula.gif]]
 ===Test of the formula===
 ==reference==