近日，日本顺天堂大学Y. Kiyo团队研究了阈值附近顶夸克对产生的三阶修正 II. 的潜在贡献。相关论文于2025年7月29日发表在《高能物理杂志》上。

研究组详细阐述了除库仑势外的其他重夸克势能对S波格林函数三阶修正的计算方法。该结果与顶-反顶夸克阈值产生过程在次次次领头阶（NNNLO）的计算相关，也与利用高矩求和规则测定底夸克质量相关，并已在先前的相应出版物中使用。

在三阶计算基础上，他们详细讨论了为获得可靠的顶夸克阈值产生三阶结果所必需的三个改进：有限宽度效应、极点重求和以及势减除质量方案（potential-subtracted mass scheme）的实施。该研究提供了对顶夸克产生截面的残余标度依赖性及各类贡献大小的详细数值分析。附录中汇总了主量子数为n的任意重夸克偶素态的S波能级及原点处波函数值。

附：英文原文

Title: Third-order correction to top-quark pair production near threshold II. Potential contributions

Author: Beneke, M., Kiyo, Y.

Issue&Volume: 2025-07-29阈值附近顶夸克对产生的三阶修正 II. 潜在贡献

Abstract: We provide a detailed account of the methods and calculations for the third-order corrections to the S-wave Green function from heavy-quark potentials other than the Coulomb potential. The results of this paper are relevant to the top-antitop threshold production process in next-to-next-to-next-to-leading (NNNLO) order and to the determination of the bottom-quark mass from high-moment sum rules, and have been employed in corresponding previous publications. Further to the third-order calculation, we discuss in detail three refinements necessary to obtain reliable third-order results for the top threshold: finite-width effects, pole resummation, and the implementation of the potential-subtracted mass scheme. A detailed numerical analysis of residual scale dependence and the size of various contributions to the top production cross section is provided. The S-wave energy levels and wave functions at the origin for heavy quarkonium states of arbitrary principal quantum number n are collected in an appendix.

DOI: 10.1007/JHEP07(2025)274

Source: https://link.springer.com/article/10.1007/JHEP07(2025)274