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Probabilities

The most straight forward way to calculate the expected size of the off-energy background is to measure the probability to have an off-energy electron in any of the modules. The expected number of background events is then the probability multiplied with the number of hadronic triggers. The easiest way to measure the off-energy electron probability is to measure the coincidence rate with a Bhabha event.


For this purpose both the coincidence of a STIC or a VSAT Bhabha with an off-energy electron was measured [17]. The STIC Bhabha trigger will only use DELPHI events, whereas the VSAT Bhabha trigger covers separate VSAT events. The two individual measurements will provide a double crosscheck and assure a good result. Unfortunately the background conditions vary strongly and rapidly over the year. When the final data is selected the average probability obtained by the STIC and VSAT Bhabha measurement therefore might not be totally accurate.

The off-energy electron probability is therefore also estimated with a number of other methods (section 5.2). Table 3.1 shows off-energy electron probabilities that were found to best fit all measurements for the energy intervals used for LEP II. The probability to have two off-energy electrons in the VSAT is simply constructed as the joint probability of the two modules. The coincidence with a single tag $ \gamma$$ \gamma$-event is also calculated in a similar fashion.


Table 3.1: The probability (in %) and the expected number of events of the off-energy background.
  Module 1 Module 2 Module 3 Module 4
Energy Prob. Events Prob. Events Prob. Events Prob. Events
189 0.935 3497 0.141 530 0.880 3309 0.320 865
192 1.340 742 0.400 222 1.465 812 0.415 230
196 1.398 2306 0.320 528 1.350 2227 0.310 511
200 1.065 1819 0.180 307 1.080 1844 0.165 282
202 0.890 725 0.075 61 0.800 651 0.105 85
206 0.850 2775 0.165 539 0.915 2987 0.070 228



next up previous contents
Next: Cut-maps Up: Off-Energy Background Previous: Background coincidences
Andreas Nygren
2001-10-24