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Energy-Energy Correlation in the back-to-back region at N$^3$LL+NNLO in QCD by Aglietti, Ugo Giuseppe; Ferrera, Giancarlo is a scholarly article available to read on EtoBox.

What is Energy-Energy Correlation in the back-to-back region at N$^3$LL+NNLO in QCD about?

We consider the Energy-Energy Correlation (EEC) function in high-energy electron-positron annihilation to hadrons. In the back-to-back (two-jet) region, we perform the all-order resummation of the logarithmically-enhanced contributions in QCD perturbation theory up to next-to-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. Away from the back-to-back region, we consistently combine resummed predictions with the known fixed-order results up to next-to-next-to-leading order (NNLO) and we are able to obtain an accurate fit of the $\mathcal{O}(\alpha_S^3)$ remainder function from the numerical QCD computation of the full spectrum. All perturbative terms up to order $\alpha_S^3$ are included in our calculation and a non-trivial cross-check in the back-to-back region is obtained by comparing the SCET analytic calculation against the corresponding numerical QCD computation. In particular, the values of the $\mathcal{O}(\alpha_S^3)$ resummation coefficients have been numerically verified. We regularize the Landau singularity of the QCD coupling within the so-called Minimal Prescription and we discuss the reduction of the perturbative scale dependence of distributions at higher order

Author

Aglietti, Ugo Giuseppe; Ferrera, Giancarlo

Published

2024

Language

EN