Sudakov Shoulder Resummation for Thrust and Heavy Jet Mass

Abstract

When the allowed range of an observable grows order-by-order in perturbation theory, its perturbative expansion can have discontinuities (as in the $C$ parameter) or discontinuities in its derivatives (as in thrust or heavy jet mass) called Sudakov shoulders. We explore the origin of these logarithms using both perturbation theory and effective field theory. We show that for thrust and heavy jet mass, the logarithms arise from kinematic configurations with narrow jets and deduce the next-to-leading logarithmic series. The left-shoulder logarithms in heavy jet mass ($\rho$) of the form $r{\alpha }_s^n{\ln }^{2n}r$ with $r=\frac{1}{3}-\rho$ are particularly dangerous, because they invalidate fixed order perturbation theory in regions traditionally used to extract ${\alpha }_s$. Although the factorization formula shows there are no non-global logarithms, we find Landau-pole like singularities in the resummed distribution associated with the cusp anomalous dimension, and that power corrections are exceptionally important.

arXiv comment49 pages, 8 figures. Published in Physical Review D

References in corpus (42)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• A General Algorithm for Calculating Jet Cross Sections in NLO QCD
• New Developments in FeynCalc 9.0
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Resummation of non-global QCD observables
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• The Resummation of Soft Gluon in Hadronic Collisions
• N-Jettiness: An Inclusive Event Shape to Veto Jets
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Away-from-jet energy flow
• Resummation of heavy jet mass and comparison to LEP data
• The two-loop hemisphere soft function
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Jet Shapes in Hadron Collisions: Higher Orders, Resummation and Hadronization
• An Effective Field Theory for Jet Processes
• Electroweak Gauge-Boson Production at Small q_T: Infrared Safety from the Collinear Anomaly
• Direct photon production with effective field theory
• Infrared Safe but Infinite: Soft-Gluon Divergences Inside the Physical Region
• A new approach to the Higgs transverse-momentum resummation at NNLL+NNLO
• Hadron masses and power corrections to event shapes
• Resummation of Transverse Momentum Distributions in Distribution Space
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• Non-Global Logarithms, Factorization, and the Soft Substructure of Jets
• Non-global Structure of the O(α_s^2) Dijet Soft Function
• Precision Jet Substructure from Boosted Event Shapes
• Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond
• Problems in the resummation of soft-gluon effects in the transverse-momentum distributions of massive vector bosons in hadronic collisions
• Precision direct photon and W-boson spectra at high p_T and comparison to LHC data
• Resummation for W and Z production at large pT
• The Sudakov radiator for jet observables and the soft physical coupling
• Higher-order non-global logarithms from jet calculus
• $C$-parameter hadronisation in the symmetric 3-jet limit and impact on ${\alpha }_s$ fits
• Two-loop anomalous dimension for the resummation of non-global observables
• The Jet Shape at NLL${}^{\prime }$
• Precision direct photon spectra at high energy and comparison to the 8 TeV ATLAS data

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