Resummation and NLO Matching of Event Shapes with Effective Field Theory

Abstract

The resummed differential thrust rate in e+e- annihilation is calculated using Soft-Collinear Effective Theory (SCET). The resulting distribution in the two-jet region T~1 is found to agree with the corresponding expression derived by the standard approach. A matching procedure to account for finite corrections at T < 1 is then described. There are two important advantages of the SCET approach. First, SCET manifests a dynamical seesaw scale q = p^2/Q in addition to the center-of-mass energy Q and the jet mass scale p ~ Q ~ sqrt(1 - T). Thus, the resummation of logs of p/q can be cleanly distinguished from the resummation of logs of Q/p. Second, finite parts of loop amplitudes appear in specific places in the perturbative distribution: in the matching to the hard function, at the scale Q, in matching to the jet function, at the scale p, and in matching to the soft function, at the scale q. This allows for a consistent merger of fixed order corrections and resummation. In particular, the total NLO e+e- cross section is reproduced from these finite parts without having to perform additional infrared regulation.

18 pages, 1 figure; notation updated and references added

References in corpus (7)

• Jets from Massive Unstable Particles: Top-Mass Determination
• Threshold Resummation in Momentum Space from Effective Field Theory
• Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
• 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
• Event Generation from Effective Field Theory
• Improving jet distributions with effective field theory
• Jets in Effective Theory: Summing Phase Space Logs

Cited by in corpus (49)

• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• 50 Years of Quantum Chromodynamics
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• The Quark Beam Function at NNLL
• Resummation of heavy jet mass and comparison to LEP data
• Top Mass Measurements from Jets and the Tevatron Top-Quark Mass
• Hard-Soft-Collinear Factorization to All Orders
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations
• Parton Fragmentation within an Identified Jet at NNLL
• Precision Jet Substructure from Boosted Event Shapes
• Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions
• Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond
• Reparameterization Invariant Collinear Operators
• Next-to-leading power endpoint factorization and resummation for off-diagonal "gluon" thrust
• An $S$-Matrix for Massless Particles
• Angular correlations in multi-jet final states from kt-dependent parton showers
• A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N${}^3$LO
• Matching NLLA+NNLO for event shape distributions
• GenEvA (I): A new framework for event generation
• N-jettiness beam functions at N3LO
• Constraining Light Colored Particles with Event Shapes
• Resummed predictions for hadronic Higgs boson decays
• A case study of quark-gluon discrimination at NNLL' in comparison to parton showers
• Resummed predictions for jet-resolution scales in multijet production in $e^{+}{e}^{-}$ annihilation
• Collinear expansion for color singlet cross sections
• Threshold Hadronic Event Shapes with Effective Field Theory
• Soft Theorems from Effective Field Theory
• Threshold resummation of new partonic channels at next-to-leading power
• Resummation prediction on top quark transverse momentum distribution at large pT
• Sudakov Shoulder Resummation for Thrust and Heavy Jet Mass
• NLO Massive Event-Shape Differential and Cumulative Distributions
• Hadronic decays of Higgs boson at NNLO matched with parton shower
• A factorization approach to next-to-leading-power threshold logarithms
• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Removing phase-space restrictions in factorized cross sections
• Angularity in Higgs boson decays via $\mathbf{H}\to \mathbf{gg}$ at NNLL${}^{\prime }$ accuracy
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• Overview of the theory of W/Z + jets and heavy flavor
• Effective Field Theory Factorization for Diffraction
• Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis)
• Grooming at the Cusp: All-Orders Predictions for the Transition Region of Jet Groomers
• QCD Beyond Leading Power
• A Precise Determination of ${\alpha }_s$ from the Heavy Jet Mass Distribution