Abstract
The energy-energy correlation (EEC) between two detectors in e^{+}e^{-} annihilation was computed analytically at leading order in QCD almost 40years ago, and numerically at next-to-leading order (NLO) starting in the 1980s. We present the first analytical result for the EEC at NLO, which is remarkably simple, and facilitates analytical study of the perturbative structure of the EEC. We provide the expansion of the EEC in the collinear and back-to-back regions through next-to-leading power, information which should aid resummation in these regions.
Highlights
We present the first analytical result for the energy correlation (EEC) at next-to-leading order (NLO), which is remarkably simple, and facilitates analytical study of the perturbative structure of the EEC
We provide the expansion of the EEC in the collinear and back-to-back regions through next-to-leading power, information which should aid resummation in these regions
In the strong-coupling limit and at large Nc, the EEC in N 1⁄4 4 SYM theory can be calculated using AdS/CFT duality [28]. Despite all of this progress, the analytic computation of the EEC at NLO in quantum chromodynamics (QCD) has remained an open problem, whose solution is desirable for several reasons
Summary
Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD The energy-energy correlation (EEC) between two detectors in eþe− annihilation was computed analytically at leading order in QCD almost 40 years ago, and numerically at next-to-leading order (NLO) starting in the 1980s. The EEC was first computed numerically at next-toleading order (NLO) in QCD by several groups in the 1980s and 1990s, originally leading to conflicting results.
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