Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium
Abstract
A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effectivefieldtheory framework of nonrelativistic QCD is used to separate the shortdistance scale of annihilation, which is set by the heavy quark mass M, from the longerdistance scales associated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of fourfermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant α_{s}(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 Swave states at nexttoleading order in v^{2} and Pwave states at leading order in v^{2}.
 Publication:

Physical Review D
 Pub Date:
 February 1995
 DOI:
 10.1103/PhysRevD.51.1125
 arXiv:
 arXiv:hepph/9407339
 Bibcode:
 1995PhRvD..51.1125B
 Keywords:

 13.25.Gv;
 12.38.Bx;
 12.39.Hg;
 13.40.Hq;
 Decays of J/psi Upsilon and other quarkonia;
 Perturbative calculations;
 Heavy quark effective theory;
 Electromagnetic decays;
 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice
 EPrint:
 Revised to clarify the velocityscaling rules for spinflip transitions, to correct error estimates, and to emphasize probabilities of Fock states, rather than amplitudes, 117 pages in REVTEX plus 11 Postscript figures. Erratum to Phys. Rev. D article included as a separate file, 4 pages in REVTEX