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Equation 1 · Part 2 · What a Particle Detector Actually Measures

Symbol E

σEE  =  AE  ⊕  B  ⊕  C.\frac{\sigma_E}{E} \;=\; \frac{A}{\sqrt{E}} \;\oplus\; B \;\oplus\; C .
EE

What this part means

E is part of the quantity the equation computes from the expression on the right.

Its job in the formula

E is part of the quantity the equation computes from the expression on the right.

The passage around this formula

Energy deposition. A calorimeter is deliberately destructive. It stops the particle, converts its energy into a shower of secondaries, and measures a signal proportional to the total ionising track length in that shower. Because the shower is stochastic, the relative resolution scales as the inverse square root of the energy plus terms for readout noise and for imperfections that scale with energy: σEE  =  AE  ⊕  B  ⊕  C\frac{\sigma_E}{E} \;=\; \frac{A}{\sqrt{E}} \;\oplus\; B \;\oplus\; C . For the LHC general-purpose experiments the stochastic term is typically three to ten per cent for electromagnetic calorimeters and fifty to eighty per cent for hadronic ones, while constant terms sit at a few parts per thousand and a few per cent respectively [ 2 ] . The…

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