Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium

Geoffrey T. Bodwin, Eric Braaten, and G. Peter Lepage
Phys. Rev. D 51, 1125 – Published 1 February 1995; Erratum Phys. Rev. D 55, 5853 (1997)
PDFExport Citation

Abstract

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 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 αs(M). The matrix elements are organized into a hierarchy according to their scaling with 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 M or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of S-wave states at next-to-leading order in v2 and P-wave states at leading order in v2.

  • Received 10 August 1994

DOI:https://doi.org/10.1103/PhysRevD.51.1125

©1995 American Physical Society

Erratum

Authors & Affiliations

Geoffrey T. Bodwin

  • High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

Eric Braaten

  • Theory Group, Fermilab, Batavia, Illinois 60510

G. Peter Lepage

  • Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

References (Subscription Required)

Click to Expand
Issue

Vol. 51, Iss. 3 — 1 February 1995

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×