## 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 language | English |
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Title of host publication | Proceedings of the 2016 Asia-Europe-Pacific School of High-Energy Physics |

Editors | M. Mulders, C. Z. Yuan |

Publisher | CERN |

Pages | 69-85 |

Number of pages | 17 |

Volume | 2 |

Edition | October |

ISBN (Electronic) | 9789290835004 |

DOIs | |

Publication status | Published - 2018 |

Event | 3rd Asia-Europe-Pacific School of High-Energy Physics - Beijing, China Duration: 2016 Oct 12 → 2016 Oct 25 |

### Conference

Conference | 3rd Asia-Europe-Pacific School of High-Energy Physics |
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Country/Territory | China |

City | Beijing |

Period | 16/10/12 → 16/10/25 |

## Keywords

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

## ASJC Scopus subject areas

- Nuclear and High Energy Physics