Computes two-loop jet functions for N=4,5,6 projected energy correlators enabling NNLL collinear resummation matched to NLO in e+e- and Higgs-to-gluons processes, with non-perturbative corrections from two universal soft matrix elements.
Extending Precision Perturbative QCD with Track Functions
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
Collider experiments often exploit information about the quantum numbers of final state hadrons to maximize their sensitivity, with applications ranging from the use of tracking information (electric charge) for precision jet substructure measurements, to flavor tagging for nucleon structure studies. For such measurements, perturbative calculations in terms of quarks and gluons are insufficient, and non-perturbative track functions describing the energy fraction of a quark or gluon converted into a subset of hadrons (e.g., charged hadrons) must be incorporated. Unlike fragmentation functions, track functions describe correlations between hadrons and therefore satisfy complicated non-linear evolution equations whose structure has so far eluded calculation beyond the leading order. In this Letter, we develop an understanding of track functions and their interplay with energy flow observables beyond the leading order, allowing them to be used in state-of-the-art perturbative calculations for the first time. We identify a shift symmetry in the evolution of their moments that fixes their structure, and we explicitly compute the evolution of the first three moments at next-to-leading order, allowing for the description of up to three-point energy correlations. We then calculate the two-point energy correlator on charged particles at $O(\alpha_s^2)$, illustrating explicitly that infrared singularities in perturbation theory are absorbed by moments of the track functions and also highlighting how these moments seamlessly interplay with modern techniques for perturbative calculations. Our results extend the boundaries of traditional perturbative QCD, enabling precision perturbative predictions for energy flow observables sensitive to the quantum numbers of hadronic states.
fields
hep-ph 5representative citing papers
The paper proposes that one-point energy correlators in transversely polarized proton-proton collisions access the nucleon's transversity distribution through a single-spin asymmetry with sin(φ_s - φ_n) angular dependence over a wider kinematic range than traditional transverse momentum measurements
Nucleon energy correlators access linear effects from light-quark dipole operators via azimuthal asymmetries in the target fragmentation region at the EIC.
Projections of four-point energy correlators cleanly separate spin from kinematic azimuthal correlations inside jets; spin effects are subdominant in accessible LHC kinematics.
Track functions exhibit model-dependent modifications to higher moments in heavy-ion jets, with RG flows qualitatively preserved, enabling discrimination between jet quenching pictures.
citing papers explorer
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Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation
Computes two-loop jet functions for N=4,5,6 projected energy correlators enabling NNLL collinear resummation matched to NLO in e+e- and Higgs-to-gluons processes, with non-perturbative corrections from two universal soft matrix elements.
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Accessing nucleon transversity with one-point energy correlators
The paper proposes that one-point energy correlators in transversely polarized proton-proton collisions access the nucleon's transversity distribution through a single-spin asymmetry with sin(φ_s - φ_n) angular dependence over a wider kinematic range than traditional transverse momentum measurements
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Nucleon Energy Correlators as a Probe of Light-Quark Dipole Operators at the Electron-Ion Collider
Nucleon energy correlators access linear effects from light-quark dipole operators via azimuthal asymmetries in the target fragmentation region at the EIC.
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Dissecting Parton Showers with Multi-Point Energy Correlators
Projections of four-point energy correlators cleanly separate spin from kinematic azimuthal correlations inside jets; spin effects are subdominant in accessible LHC kinematics.
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Mapping jet substructure in heavy-ion collisions with track functions
Track functions exhibit model-dependent modifications to higher moments in heavy-ion jets, with RG flows qualitatively preserved, enabling discrimination between jet quenching pictures.