English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A rigorous QCD analysis of the inclusive annihilation decay rates of heavyquarkonium states is presented. The effective-field-theory framework ofnonrelativistic QCD is used to separate the short-distance scale ofannihilation, which is set by the heavy quark mass $M$, from thelonger-distance scales associated with quarkonium structure. The annihilationdecay rates are expressed in terms of nonperturbative matrix elements of4-fermion operators in nonrelativistic QCD, with coefficients that can becomputed using perturbation theory in the coupling constant $\alpha_s(M)$. Thematrix elements are organized into a hierarchy according to their scaling with$v$, the typical velocity of the heavy quark. An analogous factorizationformalism is developed for the production cross sections of heavy quarkonium inprocesses involving momentum transfers of order $M$ or larger. Thefactorization formulas are applied to the annihilation decay rates andproduction cross sections of S-wave states, up to corrections of relative order$v^3$, and of P-wave states, up to corrections of relative order $v^2$.Comment: Revised to clarify the velocity-scaling rules for spin-flip  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 REVTE

Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium