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Title: Thrust at N{sup 3}LL with power corrections and a precision global fit for {alpha}{sub s}(m{sub Z})

Abstract

We give a factorization formula for the e{sup +}e{sup -} thrust distribution d{sigma}/d{tau} with {tau}=1-T based on the soft-collinear effective theory. The result is applicable for all {tau}, i.e. in the peak, tail, and far-tail regions. The formula includes O({alpha}{sub s}{sup 3}) fixed-order QCD results, resummation of singular partonic {alpha}{sub s}{sup j}ln{sup k}({tau})/{tau} terms with N{sup 3}LL accuracy, hadronization effects from fitting a universal nonperturbative soft function defined with field theory, bottom quark mass effects, QED corrections, and the dominant top mass dependent terms from the axial anomaly. We do not rely on Monte Carlo generators to determine nonperturbative effects since they are not compatible with higher order perturbative analyses. Instead our treatment is based on fitting nonperturbative matrix elements in field theory, which are moments {Omega}{sub i} of a nonperturbative soft function. We present a global analysis of all available thrust data measured at center-of-mass energies Q=35-207 GeV in the tail region, where a two-parameter fit to {alpha}{sub s}(m{sub Z}) and the first moment {Omega}{sub 1} suffices. We use a short-distance scheme to define {Omega}{sub 1}, called the R-gap scheme, thus ensuring that the perturbative d{sigma}/d{tau} does not suffer from an O({Lambda}{sub QCD}) renormalon ambiguity. We find {alpha}{sub s}(m{submore » Z})=0.1135{+-}(0.0002){sub expt{+-}}(0.0005){sub hadr{+-}}(0.0009){sub pert}, with {chi}{sup 2}/dof=0.91, where the displayed 1-sigma errors are the total experimental error, the hadronization uncertainty, and the perturbative theory uncertainty, respectively. The hadronization uncertainty in {alpha}{sub s} is significantly decreased compared to earlier analyses by our two-parameter fit, which determines {Omega}{sub 1}=0.323 GeV with 16% uncertainty.« less

Authors:
;  [1];  [2]; ;  [3]
  1. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
  2. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
  3. Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut), Foehringer Ring 6, 80805 Muenchen (Germany)
Publication Date:
OSTI Identifier:
21537724
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.83.074021; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; B QUARKS; CENTER-OF-MASS SYSTEM; CORRECTIONS; DISTRIBUTION; ELECTRON-POSITRON INTERACTIONS; ELECTRONS; ERRORS; FACTORIZATION; GEV RANGE; GLOBAL ANALYSIS; MASS; MATRIX ELEMENTS; MONTE CARLO METHOD; POSITRONS; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; ANTILEPTONS; ANTIMATTER; ANTIPARTICLES; BEAUTY PARTICLES; CALCULATION METHODS; ELECTRODYNAMICS; ELEMENTARY PARTICLES; ENERGY RANGE; FERMIONS; FIELD THEORIES; INTERACTIONS; LEPTON-LEPTON INTERACTIONS; LEPTONS; MATHEMATICS; MATTER; PARTICLE INTERACTIONS; QUANTUM FIELD THEORY; QUARKS

Citation Formats

Abbate, Riccardo, Stewart, Iain W, Fickinger, Michael, Hoang, Andre H, and Mateu, Vicent. Thrust at N{sup 3}LL with power corrections and a precision global fit for {alpha}{sub s}(m{sub Z}). United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.074021.
Abbate, Riccardo, Stewart, Iain W, Fickinger, Michael, Hoang, Andre H, & Mateu, Vicent. Thrust at N{sup 3}LL with power corrections and a precision global fit for {alpha}{sub s}(m{sub Z}). United States. doi:10.1103/PHYSREVD.83.074021.
Abbate, Riccardo, Stewart, Iain W, Fickinger, Michael, Hoang, Andre H, and Mateu, Vicent. Fri . "Thrust at N{sup 3}LL with power corrections and a precision global fit for {alpha}{sub s}(m{sub Z})". United States. doi:10.1103/PHYSREVD.83.074021.
@article{osti_21537724,
title = {Thrust at N{sup 3}LL with power corrections and a precision global fit for {alpha}{sub s}(m{sub Z})},
author = {Abbate, Riccardo and Stewart, Iain W and Fickinger, Michael and Hoang, Andre H and Mateu, Vicent},
abstractNote = {We give a factorization formula for the e{sup +}e{sup -} thrust distribution d{sigma}/d{tau} with {tau}=1-T based on the soft-collinear effective theory. The result is applicable for all {tau}, i.e. in the peak, tail, and far-tail regions. The formula includes O({alpha}{sub s}{sup 3}) fixed-order QCD results, resummation of singular partonic {alpha}{sub s}{sup j}ln{sup k}({tau})/{tau} terms with N{sup 3}LL accuracy, hadronization effects from fitting a universal nonperturbative soft function defined with field theory, bottom quark mass effects, QED corrections, and the dominant top mass dependent terms from the axial anomaly. We do not rely on Monte Carlo generators to determine nonperturbative effects since they are not compatible with higher order perturbative analyses. Instead our treatment is based on fitting nonperturbative matrix elements in field theory, which are moments {Omega}{sub i} of a nonperturbative soft function. We present a global analysis of all available thrust data measured at center-of-mass energies Q=35-207 GeV in the tail region, where a two-parameter fit to {alpha}{sub s}(m{sub Z}) and the first moment {Omega}{sub 1} suffices. We use a short-distance scheme to define {Omega}{sub 1}, called the R-gap scheme, thus ensuring that the perturbative d{sigma}/d{tau} does not suffer from an O({Lambda}{sub QCD}) renormalon ambiguity. We find {alpha}{sub s}(m{sub Z})=0.1135{+-}(0.0002){sub expt{+-}}(0.0005){sub hadr{+-}}(0.0009){sub pert}, with {chi}{sup 2}/dof=0.91, where the displayed 1-sigma errors are the total experimental error, the hadronization uncertainty, and the perturbative theory uncertainty, respectively. The hadronization uncertainty in {alpha}{sub s} is significantly decreased compared to earlier analyses by our two-parameter fit, which determines {Omega}{sub 1}=0.323 GeV with 16% uncertainty.},
doi = {10.1103/PHYSREVD.83.074021},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}