A numerical formulation of resummation in effective field theory

Abstract

In this article we show how the resummation of infrared and collinear logarithms within Soft-Collinear Effective Theory (SCET) can be formulated in a way that makes it suitable for a Monte-Carlo implementation. This is done by applying the techniques developed for automated resummation using the branching formalism, which have resulted in the general resummation approach CAESAR/ARES. This work builds a connection between the two resummation approaches, and paves the way to automated resummation in SCET. As a case study we consider the resummation of the thrust distribution in electron-positron collisions at next-to-leading logarithm (NLL). However, the results presented here are easily generalizable to more complicated observables and processes as well as to higher orders in the logarithmic accuracy.

arXiv comment47 pages

References in corpus (55)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Hard Scattering Factorization from Effective Field Theory
• Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
• 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
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• The Rapidity Renormalization Group
• Principles of general final-state resummation and automated implementation
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Power corrections to event shapes and factorization
• Jets from Massive Unstable Particles: Top-Mass Determination
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Factorization and Shape-Function Effects in Inclusive B-Meson Decays
• Higgs Production with a Central Jet Veto at NNLL+NNLO
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Higgs and Z-boson production with a jet veto
• Universal structure of subleading infrared poles in gauge theory amplitudes
• Jet p_T Resummation in Higgs Production at NNLL'+NNLO
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• Analytic Regularization in Soft-Collinear Effective Theory
• The two-loop hemisphere soft function
• Resummation of heavy jet mass and comparison to LEP data
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Factorization for groomed jet substructure beyond the next-to-leading logarithm
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Resummed event shapes at hadron-hadron colliders
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• Toward a NNLO calculation of the B-->X_s gamma decay rate with a cut on photon energy: I. Two-loop result for the soft function
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Comparing and Counting Logs in Direct and Effective Methods of Resummation
• Enhanced Nonperturbative Effects in Z Decays to Hadrons
• Electroweak Corrections in High Energy Processes using Effective Field Theory
• Factorization and Sudakov Resummation in Leptonic Radiative B Decay
• The Beam Thrust Cross Section for Drell-Yan at NNLL Order
• A new approach to the Higgs transverse-momentum resummation at NNLL+NNLO
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• Transverse-momentum resummation for top-quark pairs at hadron colliders
• Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions
• NNLL Resummation for Jet Broadening
• Semi-numerical resummation of event shapes
• Enhanced nonperturbative effects in jet distributions
• The two-jet rate in e^+e^- at next-to-next-to-leading-logarithmic order
• QCD predictions for new variables to study dilepton transverse momenta at hadron colliders
• Factorization for generic jet production
• Soft-Drop Thrust
• Next-to-next-to-leading logarithmic resummation for transverse thrust

Cited by in corpus (6)

• 50 Years of Quantum Chromodynamics
• The Sudakov radiator for jet observables and the soft physical coupling
• Generic dijet soft functions at two-loop order: correlated emissions
• Pileup and Infrared Radiation Annihilation (PIRANHA): A Paradigm for Continuous Jet Grooming
• Disentangling observable dependence in SCETI and SCETII anomalous dimensions: angularities at two loops
• A formalism for the resummation of non-factorizable observables in SCET