Energy Correlations in Electron-Positron Annihilation: Testing Quantum Chromodynamics

Event shapes in e+e annihilation and deep inelastic scattering

“…The C-parameter can actually be considered (in the limit of all particles being massless) as the integral of a more differential observable, the Energy-Energy Correlation (EEC) [5],…”

A new calculation of the NLO energy-energy correlation function

“…In particular our hybrid results agree very well with those of Glover and Sutton inside their respective errors (compare KS (5) , KS (6) with GS (4) ). Concerning the phase space slicing method there is a small difference with GS outside the errors (compare KS (7) , KS (8) with GS (3) ). Knowing that the finite parts are still non-negligible at y min = 10 −5 , we can not expect perfect agreement in this case.…”

“…NLO Coefficient B(χ) for cos χ = 0 calculation B(cos χ = 0) KN (1) 51.25 ± 2.67 GS (2) 52.39 ± 0.83 GS (3) 51.15 ± 0.68 GS (4) 52.29 ± 2.08 KS (5) 51.96 ± 0.58 KS (6) 51.87 ± 0.58 KS (7) 49.06 ± 0.56 KS (8) 48.92 ± 0.56 …”

“…It has been first calculated by Basham et al [3] with the result A(χ) = C F (1 + ω) 3 1 + 3ω 4ω (2 − 6ω 2 ) ln(1 + 1/ω) + 6ω − 3…”

The energy-energy correlation function revisited

“…The original method used by E R T is also known as the subtraction method. Here, a divergent term is subtracted from the rst term and added to the second, (7) so that the integral is manifestly nite. This method has the advantages of requiring no extra theoretical cuto s and making no approximations.…”