A calorimeter has stochastic

PHYSICS · Multi-part · Fermi University Physics · Scientific Practice & Experimental Methods · Electronics, Instrumentation & Communication · Uncertainty in measurement

Symmetry and Flavour, Ch The collider experiment: from bunch populations to a measured cross section

Problem

A calorimeter has stochastic, noise and constant terms

a = 5.0\,\%\,\mathrm{GeV^{1/2}}

b = 0.20\,\mathrm{GeV}

and

c = 0.5\,\%

, combined in quadrature as

\frac{\sigma_E}{E} = \sqrt{\left(\frac{a}{\sqrt{E}}\right)^2 + \left(\frac{b}{E}\right)^2 + c^2}.

((a)) Calculate

\sigma_E/E

E = 5\,\mathrm{GeV}

and state which term dominates. ((b)) Calculate

\sigma_E/E

E = 50\,\mathrm{GeV}

and state which term dominates.

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