Quarkonium physics: nrqcd factorization formula for j/ !e+e

J. H. Ee, U. R. Kim, J. Lee, C. Yu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this lecture, we briefly review the nonrelativistic QCD (NRQCD) factorization approach to describe the quarkonium production and decay. In the NRQCD factorization formula, the long-distance nature of a heavy quarkonium is factorized into the NRQCD long-distance matrix elements (LDMEs) and a physical measurable is expressed as a linear combination of the LDMEs. If we apply the perturbation theory to enhance the theoretical accuracies in the short-distance contributions there is no way to avoid non-analytic Coulomb divergences in the static limit of the heavy quark and infrared divergences. A systematic procedure to isolate such long-distance contributions out of the correction terms in the short-distance coefficients is called matching. As a heuristic example of finding the NRQCD factorization formula for a specific process, we demonstrate the matching procedure of determining the short-distance coefficients involving the leptonic decay of the S-wave spin-triplet state.

Original languageEnglish
Title of host publicationProceedings of the 2016 Asia-Europe-Pacific School of High-Energy Physics
EditorsM. Mulders, C. Z. Yuan
PublisherCERN
Pages69-85
Number of pages17
Volume2
EditionOctober
ISBN (Electronic)9789290835004
DOIs
Publication statusPublished - 2018
Event3rd Asia-Europe-Pacific School of High-Energy Physics - Beijing, China
Duration: 2016 Oct 122016 Oct 25

Conference

Conference3rd Asia-Europe-Pacific School of High-Energy Physics
CountryChina
CityBeijing
Period16/10/1216/10/25

Keywords

  • Long-distance nrqcd matrix elements
  • Matching
  • Nrqcd factorization formula
  • Short-distance coefficient

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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  • Cite this

    Ee, J. H., Kim, U. R., Lee, J., & Yu, C. (2018). Quarkonium physics: nrqcd factorization formula for j/ !e+e. In M. Mulders, & C. Z. Yuan (Eds.), Proceedings of the 2016 Asia-Europe-Pacific School of High-Energy Physics (October ed., Vol. 2, pp. 69-85). CERN. https://doi.org/10.23730/CYRSP-2018-002.69