Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium

Journal Article · Tue Jan 31 23:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.1125· OSTI ID:6603828

Bodwin, G T ^[1]; Braaten, E ^[2]; Lepage, G P ^[3]

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1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
2. Theory Group, Fermilab, Batavia, Illinois 60510 (United States)
3. Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853 (United States)

A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is set by the heavy quark mass [ital M], from the longer-distance scales associated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of four-fermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant [alpha][sub [ital s]]([ital M]). The matrix elements are organized into a hierarchy according to their scaling with [ital v], the typical velocity of the heavy quark. An analogous factorization formalism is developed for the production cross sections of heavy quarkonium in processes involving momentum transfers of order [ital M] or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of [ital S]-wave states at next-to-leading order in [ital v][sup 2] and [ital P]-wave states at leading order in [ital v][sup 2].

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38; FG02-91ER40684
• OSTI ID: 6603828
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
COUPLING CONSTANTS
CROSS SECTIONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FACTORIZATION
FERMIONS
FIELD THEORIES
INCLUSIVE INTERACTIONS
INTERACTIONS
MASS
MATRIX ELEMENTS
MOMENTUM TRANSFER
P WAVES
PARTIAL WAVES
PARTICLE INTERACTIONS
POSTULATED PARTICLES
PRODUCTION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
QUARKS
S WAVES