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Spectral Numerical Analysis for Background Calculation

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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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