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The Energy-Energy Correlation is defined by [Bas78]
and its Asymmetry by
Here is the opening angle between the two particles
and , with energies and . In principle,
normalization should be to
, but if not all particles
are detected it is convenient to normalize to the total visible
. Taking into account the autocorrelation term
, the total in an event then is unity.
The function peak is smeared out by the
finite bin width in the histogram, i.e.,
it is replaced by a contribution
to the bin
which contains .
The formulae above refer to an individual event, and are to be
averaged over all events to suppress statistical fluctuations, and
obtain smooth functions of .