Lmd eta three pion hlu

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

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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:<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>