Analytic Next-To-Leading Order Calculation of Energy-Energy Correlation in Gluon-Initiated Higgs Decays

Abstract

The energy-energy correlation (EEC) function in $e^{+}{e}^{-}$ annihilation is currently the only QCD event shape observable for which we know the full analytic result at the next-to-leading order (NLO). In this work we calculate the EEC observable for gluon initiated Higgs decay analytically at NLO in the Higgs Effective Field Theory (HEFT) framework and provide the full results expressed in terms of classical polylogarithms, including the asymptotic behavior in the collinear and back-to-back limits. This observable can be, in principle, measured at the future $e^{+}{e}^{-}$ colliders such as CEPC, ILC, FCC-ee or CLIC. It provides an interesting opportunity to simultaneously probe our understanding of the strong and Higgs sectors and can be used for the determinations of the strong coupling.

34 pages, 7 figures, matches the version accepted in JHEP

References in corpus (13)

• An Introduction to PYTHIA 8.2
• FIRE5: a C++ implementation of Feynman Integral REduction
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• A precise determination of alpha_s from LEP thrust data using effective field theory
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Reducing differential equations for multiloop master integrals
• Second-order QCD corrections to the thrust distribution
• Resummation of heavy jet mass and comparison to LEP data
• Event shapes and jet rates in electron-positron annihilation at NNLO
• $Apart: A Generalized Mathematica Apart Function
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Energy-energy correlation in electron-positron annihilation at NNLL+NNLO accuracy

Cited by in corpus (7)

• The Collinear Limit of the Energy-Energy Correlator
• Quantum Interference in Jet Substructure from Spinning Gluons
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Analytic Computation of Three-point Energy Correlator in QCD
• Gluon Polarimetry with Energy-Energy Correlators
• Dihadron fragmentation framework for near-side energy-energy correlators