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Development of a Liquid Scintillator and of Data ... - Borexino - Infn

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5 Particle Identification with a Neural Network<br />

5.3.2 <strong>Data</strong> from CTF2<br />

I tested the neural network also with real CTF data to see if in the case <strong>of</strong> real, more noisy<br />

spectra the NN would be superior to the tail-to-total method. Not for all CTF2 runs flash ADC<br />

data are available. To have a sufficiently high statistics for the training <strong>of</strong> the net, I chose<br />

one <strong>of</strong> the source runs, run 793. In this run, all the Bi <strong>and</strong> Po events occurred at the same<br />

position, i.e. the center <strong>of</strong> the Inner Vessel. In this case, the pulse shape is not further broadened<br />

by the time <strong>of</strong> flight differences to the different PMTs, so that the pulse shape discrimination<br />

should yield better results than for r<strong>and</strong>omly distributed events. Fig. 5.9 shows a typical Bi<br />

beta <strong>and</strong> a Po alpha pulse.<br />

A total sample <strong>of</strong> 2360 events was available from run 793. The sample was too small to reduce<br />

it further by restricting the energy <strong>of</strong> the Bi events to the same energy range as the Po<br />

events, which would have been the case for only events. Giving the energy <strong>of</strong> the event<br />

as input parameter for the NN could lead to the unwanted case, that the NN uses the energy<br />

as decision criterium: high energy beta events, low energy alpha events. Hence I took as input<br />

parameter only the normalized flash ADC spectrum (100 bins = 250 ns). 1000 events were<br />

chosen as training set for the NN. The other 1360 events are the validation set.<br />

The training process continued 5000 epochs, until the error function became flat. The results<br />

<strong>of</strong> the NN algorithm are shown in fig. 5.10. From 680 beta events only 26 were misidentified<br />

as alpha events. From 680 alpha events 22 were misidentified as beta events. This means, that<br />

for 96.2 % beta identification efficiency, 96.7 % <strong>of</strong> the alpha events are rejected.<br />

For a comparison I tested the pulse shape discrimination using the tail-to-total ratio (with the<br />

tail starting after 48 ns) on the same data sample. For a beta identification efficiency <strong>of</strong> 96 %,<br />

an alpha rejection efficiency <strong>of</strong> 84.9 % is obtained (see fig. 5.11).<br />

In this case, the neural network is clearly better than the simple tail-to-total ratio. These results<br />

are encouraging for BOREXINO, but data samples with a higher statistics <strong>and</strong> further<br />

systematic tests are needed.<br />

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