Power scaling rules for charmonia production and HQEFT

Abstract

We discuss the power scaling rules along the lines of a complete Heavy Quark Effective Field Theory (HQEFT) for the description of heavy quarkonium production through a color-octet mechanism. To this end, we firstly derive a tree-level heavy quark effective Lagrangian keeping both particle-antiparticle mixed sectors allowing for heavy quark-antiquark pair annihilation and creation, but describing only low-energy modes around the heavy quark mass. Then we show the consistency of using HQEFT fields in constructing four-fermion local operators a la NRQCD, to be identified with standard color-octet matrix elements. We analyze some numerical values extracted from charmonia production by different authors and their hierarchy in the light of HQEFT.

LaTeX, 19 pages, 3 EPS figures

Cited by in corpus (6)

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• Large Component QCD and Theoretical Framework of Heavy Quark Effective Field Theory
• HQEFT as A Large Component QCD and Comments on The Incompleteness of HQET
• A More Precise Extraction of |V_{cb}| in HQEFT of QCD