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The EnergyCorrelator package is based on the physics described in:
Energy Correlation Functions for Jet Substructure.
Andrew J. Larkoski, Gavin Salam, and Jesse Thaler.
JHEP 1306, 108 (2013)
arXiv:1305.0007.
Additional information and a new observable formed from the
energy correlation functions was described in
Power Counting to Better Jet Observables.
Andrew J. Larkoski, Ian Moult, and Duff Neill.
arXiv:1409.6298.
This FastJet-contrib package contains four classes derived from
FunctionOfPseudoJet<double> :
EnergyCorrelator(int N, double beta, Measure measure)
Called ECF(N,beta) in arXiv:1305.0007. Corresponds to the N-point
correlation function, with beta the angular exponent, while measure
= pt_R (default) or E_theta sets how energies and angles are
determined.
EnergyCorrelatorRatio(int N, double beta, Measure measure)
Called r_N^(beta) in arXiv:1305.0007.
Equals ECF(N+1,beta)/ECF(N,beta).
EnergyCorrelatorDoubleRatio(int N, double beta, Measure measure)
Called C_N^(beta) in arXiv:1305.0007. Equals r_N/r_{N-1}. This
observable provides good boosted N-prong object discrimination.
(N=1 for quark/gluon, N=2 for boosted W/Z/H, N=3 for boosted top)
EnergyCorrelatorC1(double beta, Measure measure)
This calculates the double ratio observable C_1^(beta) which is
useful for quark versus gluon discrimination.
EnergyCorrelatorC2(double beta, Measure measure)
This calculates the double ratio observable C_2^(beta) which is
useful for boosted W/Z/H identification.
EnergyCorrelatorD2(double beta, Measure measure)
Called D_2^(beta) in arXiv:1409.6298.
Equals ECF(3,beta)*ECF(1,beta)^3/ECF(2,beta)^3.
This is the recommended function for boosted 2-prong object
discrimination (boosted W/Z/H).
The argument Measure in each of these functions sets how energies
and angles are defined in the observable. The measure
pt_R
uses hadron collider coordinates (transverse momenta and boost-invariant
angles). The measure
E_theta
uses particle energies and angles and is appropriate for e+e-
collider applications. The measure
E_inv
defines angles through Lorentz-invariant dot products and is
appropriate for e+e- collider applications.
Usage is shown in the example.cc program.

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