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The Transverse Energy-Energy Correlator at Next-to-Next-to-Next-to-Leading Logarithm
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The Transverse Energy-Energy Correlator at Next-to-Next-to-Next-to-Leading Logarithm
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We present an operator based factorization formula for the transverse energy-energy correlator in the back-to-back (dijet) region, and uncover its remarkable perturbative simplicity and relation to transverse momentum dynamics. This simplicity enables us to achieve next-to-next-to-next-to leading logarithmic (N$^3$LL) accuracy for a hadron collider dijet event shape for the first time. Our factorization formula applies to color singlet, $W/Z/\gamma$ + jet, and dijet production, providing a natural generalization of transverse momentum observables to one- and two-jet final states. This provides a laboratory for precision studies of QCD and transverse momentum dynamics at hadron colliders, as well as an opportunity for understanding factorization and its violation in a perturbatively well controlled setting.
Forward citations
Cited by 5 Pith papers
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Photon-Tagged Energy Flow in Inclusive Endpoint $B$ Decays
A new photon-tagged angular energy correlator in inclusive B→X_sγ factorizes at leading power into the standard shape function and a newly computed measured jet function, enabling angular tests of endpoint factorization.
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Jet-by-jet energy correlators as stochastic probes of the parton-to-hadron transition
Per-jet fluctuations of binned energy-energy correlators show a smaller covariance trace and larger neighboring-shell correlations at hadron level than at parton level in Pythia and Herwig across all tested configurations.
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Azimuthal decorrelation in diffractive dijet production
All-order resummation of soft gluons for transverse energy-energy correlators in diffractive dijet production demonstrates sensitivity of acoplanarity to diffractive TMDs.
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Hydrodynamics and Energy Correlators
Energy-energy correlators in heavy-ion collisions exhibit classical hydrodynamic scaling from collective flow at large angles within the small-angle regime, collective modes at smaller angles, and light-ray OPE at eve...
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Energy Correlators Resolving Proton Spin
The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.
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