发表机构
Thompson Rivers University; Dordt University; Johannes Gutenberg-Universität Mainz; Laboratoire Univers et Particules de Montpellier, CNRS-IN2P3; Institute of High-Energy Physics (iHEPMAD), Univ. Ankatso; University of Saskatchewan（汤普金斯河大学; 多尔特大学; 约翰内斯·古腾堡美因茨大学; 蒙彼利埃宇宙与粒子实验室，法国国家科学研究中心-法国核能及原子能委员会; 安卡特索大学高能物理研究所; 萨斯喀彻温大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过图解重整化与重整化群方法，计算了轻张量混合子关联函数的次领头阶微扰和非微扰贡献，提高了其质量与耦合常数的理论确定精度。
AI 中文摘要
我们报告了支撑轻张量$(J^P = 2^+)$混合子介子质量和耦合常数次领头阶（NLO）QCD Laplace求和规则分析所依据的QCD计算。本文聚焦于NLO微扰贡献和领头对数NLO非微扰贡献的计算。我们采用了图解重整化方法，并利用重整化群方法来确定凝聚项（包括维数为六的胶子凝聚项）的领头对数NLO修正，我们将其重整化推广到$n_f$种夸克味道。NLO贡献为轻张量混合子关联函数提供了系统改进的理论描述，从而使其质量和耦合常数的确定更加可靠。我们结果的唯象学意义在这些会议录中另行讨论。
英文摘要
We report on the QCD calculations underlying a next-to-leading-order (NLO) QCD Laplace sum-rule analysis of the light tensor $(J^P = 2^+)$ hybrid meson mass and coupling. This article focuses on the calculation of the NLO perturbative and leading-log NLO non-perturbative contributions. The diagrammatic renormalization method is employed, and a renormalization-group approach is used to determine the leading-log NLO corrections to condensate contributions, including the dimension-six gluon condensate, whose renormalization we extend to $n_f$ quark flavors. The NLO contributions provide a systematically improved theoretical description of the light tensor hybrid correlation function, leading to more reliable determinations of its mass and coupling. The phenomenological implications of our results are discussed separately in these proceedings.
Comments7 pages, 3 figures. Prepared for the Proceedings of 29th International Conference in Quantum Chromodynamics (QCD 26), July 20--24, 2026, Montpellier, France
