Two-loop anomalous dimensions of generic dijet soft functions

Abstract

We present compact integral representations for the calculation of two-loop anomalous dimensions for a generic class of soft functions that are defined in terms of two light-like Wilson lines. Our results are relevant for the resummation of Sudakov logarithms for e+ e- event-shape variables and inclusive hadron-collider observables at next-to-next-to-leading logarithmic accuracy within Soft-Collinear Effective Theory (SCET). Our formalism applies to both SCET-1 and SCET-2 soft functions and we clarify the relation between the respective soft anomalous dimension and the collinear anomaly exponent. We confirm existing two-loop results for about a dozen dijet soft functions and obtain new predictions for the angularity event shape and the soft-drop jet-grooming algorithm.

arXiv comment23 pages, 3 figures. Published version

References in corpus (32)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• The soft-gluon current at one-loop order
• Event Shape/Energy Flow Correlations
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Calculation of the transverse parton distribution functions at next-to-next-to-leading order
• Jet p_T Resummation in Higgs Production at NNLL'+NNLO
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Soft-/rapidity- anomalous dimensions correspondence
• Analytic Regularization in Soft-Collinear Effective Theory
• NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production
• The two-loop hemisphere soft function
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Comparing and Counting Logs in Direct and Effective Methods of Resummation
• Rapidity renormalized TMD soft and beam functions at two loops
• NNLL Resummation for Jet Broadening
• Factorization and Resummation for Jet Broadening
• Two-loop renormalization of Wilson loop for Drell-Yan production
• Rapidity-Dependent Jet Vetoes
• Generic dijet soft functions at two-loop order: correlated emissions
• An Exclusive Soft Function for Drell-Yan at Next-to-Next-to-Leading Order
• Next-to-next-to-leading logarithmic resummation for transverse thrust
• Parton Radiation and Fragmentation from LHC to FCC-ee
• Automated Calculation of Dijet Soft Functions in Soft-Collinear Effective Theory
• Equality of hemisphere soft functions for $e^{+}{e}^{-}$, DIS and $pp$ collisions at $\mathcal{O}({\alpha }_s^2)$
• Factorization and resummation for transverse thrust
• Automated Calculation of Dijet Soft Functions in the Presence of Jet Clustering Effects

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• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
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• Generic dijet soft functions at two-loop order: correlated emissions
• Soft-drop grooming for hadronic event shapes
• Groomed jet mass at high precision
• Zero-jettiness resummation for top-quark pair production at the LHC
• Two-Loop Beam and Soft Functions for Rapidity-Dependent Jet Vetoes
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• Massive Event-Shape Distributions at N${}^2$LL
• Angularity in DIS at next-to-next-to-leading log accuracy
• NLO Massive Event-Shape Differential and Cumulative Distributions
• EFT for Soft Drop Double Differential Cross Section
• EasyScan_HEP: a tool for connecting programs to scan the parameter space of physics models
• The NNLO quark beam function for jet-veto resummation
• The NNLO soft function for N-jettiness in hadronic collisions
• Prospects for strong coupling measurement at hadron colliders using soft-drop jet mass
• Higgs Production at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• Angularity in Higgs boson decays via $\mathbf{H}\to \mathbf{gg}$ at NNLL${}^{\prime }$ accuracy
• The Catchment Area of Groomed Jets at NNLL
• The analytic two-loop soft function for leading-jet $p_T$