REVIEW 15 cited by
The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order
abstract
We obtain the quark and gluon rapidity anomalous dimension to fourth order in QCD. We calculate the N$^3$LO rapidity anomalous dimensions to higher order in the dimensional regulator and make use of the soft/rapidity anomalous dimension correspondence in conjunction with the recent determination of the N$^4$LO threshold anomalous dimensions to achieve our result. We show that the results for the quark and gluon rapidity anomalous dimensions at four loops are related by generalized Casimir scaling. Using the N$^4$LO rapidity anomalous dimension, we perform the resummation of the Energy-Energy Correlation in the back-to-back limit at N$^4$LL, achieving for the first time the resummation of an event shape at this logarithmic order. We present numerical results and observe a reduction of perturbative uncertainties on the resummed cross section to below 1%.
Forward citations
Cited by 15 Pith papers
-
The four-loop non-singlet splitting functions in QCD
Four-loop non-singlet splitting functions in QCD are computed analytically for the first time, with numerical representations provided.
-
First constraints on the nonperturbative gluon Collins-Soper kernel
First lattice-QCD constraints on the nonperturbative gluon Collins-Soper kernel are obtained at near-physical pion mass with uNNLL LaMET matching on a single a=0.15 fm ensemble.
-
Event-axis TMD measurements in $e^+e^-$ and SIDIS
Completes soft-operator formulation for thrust-axis TMD in e+e- and SIDIS, proposes nonperturbative model with event-shape dependence, resums logs, and validates against Pythia8.3 simulations.
-
The Collins-Soper kernel from a vacuum soft function
The Collins-Soper kernel is extracted from lattice computations of a vacuum soft function, showing rapidity dependence consistent with Collins-Soper evolution, comparable errors to hadronic methods, and saturation at ...
-
High precision heavy-boson-jet substructure with energy correlators
The EEC peak in boosted Z jets is the Sudakov back-to-back region of the Z-pole EEC seen through a Lorentz boost, determined by one Lorentz-invariant shape function and computable at N3LL'.
-
Energy Correlators of Spinning Sources
Spinning energy correlators classify the full Euler-angle dependence of N-point energy flux, obey generalized Hofman–Maldacena positivity bounds, and their ratios to inclusive correlators in QCD are largely insensitiv...
-
Multiplicity-dependent forward jet production in proton-nucleus collisions
New CGC+SCET factorization framework for multiplicity-dependent single-inclusive forward jets in pA collisions that preserves the inclusive limit and identifies saturation effects on internal jet evolution.
-
Multiplicity-dependent forward jet production in proton-nucleus collisions
CGC plus SCET semi-inclusive jet functions yield a multiplicity-conditioned forward-jet factorization that reduces exactly to the known inclusive CGC jet cross section.
-
AI-assisted modeling and Bayesian inference of unpolarized quark transverse momentum distributions from Drell-Yan data
An AI-assisted Bayesian framework extracts TMD PDFs from global Drell-Yan data using surrogate models for scalable MCMC sampling.
-
Operator structure of power corrections and anomalous scaling in energy correlators
Linear power corrections in energy correlators have a universal anomalous scaling because the dijet operator must be combined with a triple-jet component at one-loop order.
-
Multivariable Painleve'-II equation: connection formulas for asymptotic solutions
Asymptotically exact WKB connection formulas for a multivariable Painlevé-II system are obtained via the Demkov–Osherov model and used to scale excitations in vacuum decay.
-
Exploring nuclear modification using one-point energy correlator at the electron-ion collider
OPEC in e+A collisions factorizes in TMD QCD and predicts ~0.3–0.4 nuclear suppression at small angles, growing with angle, as a probe of cold-nuclear-matter broadening.
-
Phenomenology of genuine twist-three distributions from a global QCD analysis
Global QCD analysis extracts genuine twist-three PDFs from g2, d2 and SIDIS asymmetries, confirming their universality and factorization validity.
-
Modeling the TMD shape function in $J/\psi$ electroproduction
NLO hard function in TMD factorization for quarkonium electroproduction with predictions for unpolarized J/ψ cross section at EIC.
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.