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Title: Renormalon ambiguities in NRQCD operator matrix elements

Abstract

We analyze the renormalon ambiguities that appear in factorization formulas in QCD. Our analysis contains a simple argument that the ambiguities in the short-distance coefficients and operator matrix elements are artifacts of dimensional-regularization factorization schemes and are absent in cutoff schemes. We also present a method for computing the renormalon ambiguities in operator matrix elements and apply it to a computation of the ambiguities in the matrix elements that appear in the NRQCD factorization formulas for the annihilation decays of {ital S}-wave quarkonia. Our results, combined with those of Braaten and Chen for the short-distance coefficients, provide an explicit demonstration that the ambiguities cancel in the physical decay rates. In addition, we analyze the renormalon ambiguities in the Gremm-Kapustin relation and in various definitions of the heavy-quark mass. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
 [1];  [2]
  1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
  2. Physics Department, Ohio State University, Columbus, Ohio 43210 (United States)
Publication Date:
OSTI Identifier:
362723
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; MATHEMATICAL OPERATORS; QUANTUM CHROMODYNAMICS; MATRIX ELEMENTS; RENORMALIZATION; QUARKS; FACTORIZATION; QUANTUM OPERATORS

Citation Formats

Bodwin, G.T., and Chen, Y. Renormalon ambiguities in NRQCD operator matrix elements. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.60.054008.
Bodwin, G.T., & Chen, Y. Renormalon ambiguities in NRQCD operator matrix elements. United States. doi:10.1103/PhysRevD.60.054008.
Bodwin, G.T., and Chen, Y. Wed . "Renormalon ambiguities in NRQCD operator matrix elements". United States. doi:10.1103/PhysRevD.60.054008.
@article{osti_362723,
title = {Renormalon ambiguities in NRQCD operator matrix elements},
author = {Bodwin, G.T. and Chen, Y.},
abstractNote = {We analyze the renormalon ambiguities that appear in factorization formulas in QCD. Our analysis contains a simple argument that the ambiguities in the short-distance coefficients and operator matrix elements are artifacts of dimensional-regularization factorization schemes and are absent in cutoff schemes. We also present a method for computing the renormalon ambiguities in operator matrix elements and apply it to a computation of the ambiguities in the matrix elements that appear in the NRQCD factorization formulas for the annihilation decays of {ital S}-wave quarkonia. Our results, combined with those of Braaten and Chen for the short-distance coefficients, provide an explicit demonstration that the ambiguities cancel in the physical decay rates. In addition, we analyze the renormalon ambiguities in the Gremm-Kapustin relation and in various definitions of the heavy-quark mass. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.60.054008},
journal = {Physical Review, D},
number = 5,
volume = 60,
place = {United States},
year = {1999},
month = {9}
}