Probing the Structure of Jets: Factorized and Resummed Angularity Distributions in SCET

Abstract

Using the framework of soft-collinear effective theory (SCET), we factorize and calculate $e^{+}{e}^{-}$ angularity distributions, including perturbative resummation and the incorporation of a universal model for the nonperturbative soft function. Angularities ${\tau }_a$ are a class of event shapes varying in their sensitivity to the substructure of jets in the final state, controlled by a continuous parameter $a<2$. We calculate the jet and soft functions in factorized angularity distributions for all $a<1$ to first order in the strong coupling ${\alpha }_s$ and resum large logarithms to next-to-leading logarithmic (NLL) accuracy. We employ a universal model for the nonperturbative soft function with a gap parameter which cancels the renormalon ambiguity in the partonic soft function.

8 pages, 2 figures. Contribution to the proceedings of EFT'09, International Workshop on Effective Field Theories: from the Pion to the Upsilon, 2-6 February 2009, Valencia (Spain)

References in corpus (18)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• Hard Scattering Factorization from Effective Field Theory
• Sudakov Factorization and Resummation
• Event Shape/Energy Flow Correlations
• Treating the b quark distribution function with reliable uncertainties
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• Event shapes in e+e- annihilation and deep inelastic scattering
• Top Jets at the LHC
• Designing Gapped Soft Functions for Jet Production
• Enhanced Nonperturbative Effects in Z Decays to Hadrons
• Two-loop Jet-Function and Jet-Mass for Top Quarks
• Scaling Rule for Nonperturbative Radiation in a Class of Event Shapes
• Infrared Safety in Factorized Hard Scattering Cross-Sections
• Hemisphere Soft Function at O(alpha_s^2) for Dijet Production in e+e- Annihilation

Cited by in corpus (1)

• Soft Collinear Effective Theory: An Overview