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HBD Performance Estimates

HBD Performance Estimates. Zvi 1 April 2008 HBD Meeting. What will the HBD do for ppg075 type errors?. How does the <photo_electrons> affect the ability to distinguish single electron signals from double electron signals (the ones we want to reject)?

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HBD Performance Estimates

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  1. HBD Performance Estimates Zvi 1 April 2008 HBD Meeting

  2. What will the HBD do for ppg075 type errors? How does the <photo_electrons> affect the ability to distinguish single electron signals from double electron signals (the ones we want to reject)? How does the above rejection capability affect the background reduction? How does the background reduction affect the significance of di-electron measurements?

  3. Singles vs Doubles in MC • To estimate the single and double response I used a simple MC which for an inputted <pe>: • Calculates an actual number of pe via a random number from a Poisson distribution with a mean = <pe> • For each pe calculates an avalanched signal size via a random number from an exponential distribution (centered around 1 to stay in units of pe) • This values are summed to form the single signal and the same thing is done using a Poission with mean = 2<pe> for the doubles.

  4. <pe>=15 <pe>=25 Cut is made on the total spectrum at 5 pe on the left, and at a fixed percentage of the singles on the right.

  5. Cut on Single Jitter due to finite binning

  6. Background Estimation • Basically the cocktail method. • EXODUS generates electrons with kinematics, parent id, etc weighted appropriately. • If the parent is a pion or an eta apply the rejection factor from MC (x 0.9) • Add in hadrons, charm, and then make pairs for the background. • For the time being, I normalize to the conservative assumption of no improvement in background reduction due to better e-id. (The Y. Akiba opinion).

  7. Background reduction (R) as f(double rejection) y = 0.3647 e 0.0382x

  8. Background reduction (R) as f(<pe>)

  9. How does this affect the final uncertainty bars? Run 4 S = FG -BG .12% .2% HBD will introduce: With f the increase in stats, and  the electron pair efficiency (same R as before)

  10. Significance Equivalent sample size for total error In our case (Run 4) With the HBD

  11. Some numbers: • We will take a desired bin to have 500 counts and a Signal/Background = 0.01. (assumes 5 MeV bins) based on Run 4. • Here I assume the same amount of statistics as Run 4, i.e. f=1 • I plot ratio of the effective signal with the HBD to without • Let’s see…

  12. Improvement of Significance

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