Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
- High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
- Theory Group, Fermilab, Batavia, Illinois 60510 (United States)
- 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 Lab. (ANL), Argonne, IL (United States)
- DOE Contract Number:
- W-31109-ENG-38; FG02-91ER40684
- OSTI ID:
- 6603828
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 51:3; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
QUANTUM CHROMODYNAMICS
QUARKONIUM
ANNIHILATION
PRODUCTION
COUPLING CONSTANTS
CROSS SECTIONS
FACTORIZATION
INCLUSIVE INTERACTIONS
MASS
MATRIX ELEMENTS
MOMENTUM TRANSFER
P WAVES
QUARKS
S WAVES
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
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