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Spectral Numerical Analysis for Background Calculation

Explore the methods of spectral numerical analysis for calculating background factors in various integrals. Learn the formulas and calculations involved in determining the numerical factors accurately.

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Spectral Numerical Analysis for Background Calculation

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  1. Background Nomenclature TK Hemmick

  2. Here are a few numbers • I(spectrum; range) is the integral of any spectrum over an specific range.. • N is a numerical factor that often (but not always) results from the ratio of various integrals. On the following slides is what I believe that both Ermias and Mihael did.

  3. Ermias • N++ = I(FG++,non-jet) / I(BG++, non-jet) • N-- = I(FG--, non-jet)/I(BG--,non-jet) • Nermias = SQRT(N++N--) • Background = Spectrum(BG+-) * Nermias

  4. Mihael • N++ = I(FG++,high mass)/I(BG++, high mass) • N-- = I(FG--, high mass)/I(BG--, high mass) • I++ = N++ * I(BG++,WHOLE SPACE) • I-- = N-- * I(BG--,WHOLESPACE) • F = 2*SQRT(I++ *I--)/I(BG+-,WHOLESPACE) • Background = F * Spectrum(BG+-)

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