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Calculating Track Thrust with Track Functions
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In e+e- event shapes studies at LEP, two different measurements were sometimes performed: a "calorimetric" measurement using both charged and neutral particles, and a "track-based" measurement using just charged particles. Whereas calorimetric measurements are infrared and collinear safe and therefore calculable in perturbative QCD, track-based measurements necessarily depend on non-perturbative hadronization effects. On the other hand, track-based measurements typically have smaller experimental uncertainties. In this paper, we present the first calculation of the event shape track thrust and compare to measurements performed at ALEPH and DELPHI. This calculation is made possible through the recently developed formalism of track functions, which are non-perturbative objects describing how energetic partons fragment into charged hadrons. By incorporating track functions into soft-collinear effective theory, we calculate the distribution for track thrust with next-to-leading logarithmic resummation. Due to a partial cancellation between non-perturbative parameters, the distributions for calorimeter thrust and track thrust are remarkably similar, a feature also seen in LEP data.
Forward citations
Cited by 7 Pith papers
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Putting Jet Substructure on Track(s)
First complete NLL calculations of projected energy correlators (up to 4-point) on tracks via factorization theorems and RG evolution, extending prior full-jet results.
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Measurement of jet track functions in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
First direct measurement of r_q track-function moments in dijet events, showing consistency with non-linear RG flow predictions.
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Transverse Charge Distribution as a Probe of Nucleon Transversity
A charge-flow measurement built only from track angles and charge signs contains a leading-twist chiral-odd dipole that matches the charge-weighted Collins moment, giving enhanced transversity-sensitive asymmetries.
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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.
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Exploring the Space of Jets with CMS Open Data
The authors apply the energy mover's distance to 1.69 million jets from CMS open data and show that track-based jet studies, including visualizations and anomaly scoring, work on real collider data.
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Analysis note: measurement of energy-energy correlator in $e^{+}e^{-}$ collisions at $91$ GeV with archived ALEPH data
A measurement of the two-point energy-energy correlator in e+e− collisions at the Z pole using archived ALEPH data, with improved precision at small and large angles compared to previous LEP results.
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