On the four-quark operator matrix elements for the lifetime of

Zhen-Xing Zhao; Xiao-Yu Sun; Fu-Wei Zhang; Zhi-Peng Xing

doi:10.1140/epjc/s10052-023-12299-9

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 48
https://doi.org/10.1140/epjc/s10052-023-12299-9

Regular Article - Theoretical Physics

On the four-quark operator matrix elements for the lifetime of $Λ_{b}$ $\Lambda _{b}$

Zhen-Xing Zhao¹^a, Xiao-Yu Sun¹, Fu-Wei Zhang¹ and Zhi-Peng Xing²

¹ School of Physical Science and Technology, Inner Mongolia University, 010021, Hohhot, China
² Tsung-Dao Lee Institute, Shanghai Jiao Tong University, 200240, Shanghai, China

^a zhaozx19@imu.edu.cn

Received: 8 August 2023
Accepted: 27 November 2023
Published online: 18 January 2024

Abstract

Heavy quark expansion can nicely explain the lifetime of $Λ_{b}$ $\Lambda _{b}$ . However, there still exist sizable uncertainties from the four-quark operator matrix elements of $Λ_{b}$ $\Lambda _{b}$ in $1 / m_{b}^{3}$ $1/m_{b}^{3}$ corrections, which describe the spectator effects. In this work, these four-quark operator matrix elements are investigated using full QCD sum rules for the first time. At the QCD level, contributions from up to dimension-6 four-quark operators are considered. Our method for calculating high-dimensional operator matrix elements holds promise for use in resolving the $Ω_{c}$ $\Omega _{c}$ lifetime puzzle.

© The Author(s) 2024

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.