English

The SVZ sum rules and the heavy quark limit for $\Lambda_{Q}$

High Energy Physics - Phenomenology 2020-05-12 v1

Abstract

In this work, we evaluate the accuracy of the leading order results in Shifman-Vainshtein-Zakharov (SVZ) sum rules and the leading power results in the heavy quark limit for the mass of ΛQ\Lambda_{Q}. Up to dim-5 condensate contributions are considered. By comparing with the experimental results, we find that the leading order results in SVZ sum rules can reach about 5\% accuracy both for Λb\Lambda_{b} and Λc\Lambda_{c}, and it seems that better results can be obtained from the sum rules of the heavy quark limit both for Λb\Lambda_{b} and Λc\Lambda_{c}. We re-check that the SVZ sum rules in the heavy quark limit coincide with the HQET sum rules. As a byproduct, we also have an exploratory discussion on the udud diquark in ΛQ\Lambda_{Q}.

Keywords

Cite

@article{arxiv.2005.05279,
  title  = {The SVZ sum rules and the heavy quark limit for $\Lambda_{Q}$},
  author = {Zhen-Xing Zhao and Run-Hui Li and Yu-Ji Shi and Si-Hong Zhou},
  journal= {arXiv preprint arXiv:2005.05279},
  year   = {2020}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-23T15:27:55.113Z