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}=1T based on the softcollinear effective theory. The result is applicable for all {tau}, i.e. in the peak, tail, and fartail regions. The formula includes O({alpha}{sub s}{sup 3}) fixedorder 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 centerofmass energies Q=35207 GeV in the tail region, where a twoparameter fit to {alpha}{sub s}(m{sub Z}) and the first moment {Omega}{sub 1} suffices. We use a shortdistance scheme to define {Omega}{sub 1}, called the Rgap 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 »
 Authors:

 Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
 Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
 MaxPlanckInstitut fuer Physik (WernerHeisenbergInstitut), 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 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; B QUARKS; CENTEROFMASS SYSTEM; CORRECTIONS; DISTRIBUTION; ELECTRONPOSITRON 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; LEPTONLEPTON 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. https://doi.org/10.1103/PHYSREVD.83.074021
Abbate, Riccardo, Stewart, Iain W, Fickinger, Michael, Hoang, Andre H, and Mateu, Vicent. 2011.
"Thrust at N{sup 3}LL with power corrections and a precision global fit for {alpha}{sub s}(m{sub Z})". United States. https://doi.org/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}=1T based on the softcollinear effective theory. The result is applicable for all {tau}, i.e. in the peak, tail, and fartail regions. The formula includes O({alpha}{sub s}{sup 3}) fixedorder 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 centerofmass energies Q=35207 GeV in the tail region, where a twoparameter fit to {alpha}{sub s}(m{sub Z}) and the first moment {Omega}{sub 1} suffices. We use a shortdistance scheme to define {Omega}{sub 1}, called the Rgap 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 1sigma 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 twoparameter fit, which determines {Omega}{sub 1}=0.323 GeV with 16% uncertainty.},
doi = {10.1103/PHYSREVD.83.074021},
url = {https://www.osti.gov/biblio/21537724},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 7,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}