Renormalon ambiguities in NRQCD operator matrix elements

Journal Article · Wed Sep 01 04:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.60.054008· OSTI ID:362723

Bodwin, G T ^[1]; Chen, Y ^[2]

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1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
2. Physics Department, Ohio State University, Columbus, Ohio 43210 (United States)

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}

• OSTI ID: 362723
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 60; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FACTORIZATION
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
QUANTUM CHROMODYNAMICS
QUANTUM OPERATORS
QUARKS
RENORMALIZATION