论文标题

重新审视$ρ(770)$ MESON的轻和奇怪的质量依赖

Light- and strange-quark mass dependence of the $ρ(770)$ meson revisited

论文作者

Molina, R., de Elvira, J. Ruiz

论文摘要

最近关于$ππ$ - 散射相位偏移的晶格数据,用于较小或等于物理价值的奇怪夸克质量的伪级膜和衰减常数,使我们能够在第一次研究这些可观察力的陌生依赖性。我们对两种晶格轨迹进行全球分析,具体取决于夸克质量或奇怪的夸克质量的总和固定在物理点上。这些可观察物的夸克质量依赖性是从单位化耦合通道一环手性扰动理论中提取的。该分析指导了$ρ(770)$梅森属性的新预测,而奇怪夸克质量比物理质量较轻,以及su(3)对称线。结果,讨论了$ρ(770)$梅森参数的光和奇怪的质量依赖性,并给出了单位化的一环手性扰动理论中存在的低能常数的精确值。最后,研究了$ρ(770)$梅森的两种和三种晶格结果之间的当前差异。

Recent lattice data on $ππ$-scattering phase shifts in the vector-isovector channel, pseudoscalar meson masses and decay constants for strange-quark masses smaller or equal to the physical value allow us to study the strangeness dependence of these observables for the first time. We perform a global analysis on two kind of lattice trajectories depending on whether the sum of quark masses or the strange-quark mass is kept fixed to the physical point. The quark mass dependence of these observables is extracted from unitarized coupled-channel one-loop Chiral Perturbation Theory. This analysis guides new predictions on the $ρ(770)$ meson properties over trajectories where the strange-quark mass is lighter than the physical mass, as well as on the SU(3) symmetric line. As a result, the light- and strange-quark mass dependence of the $ρ(770)$ meson parameters are discussed and precise values of the Low Energy Constants present in unitarized one-loop Chiral Perturbation Theory are given. Finally, the current discrepancy between two- and three-flavor lattice results for the $ρ(770)$ meson is studied.

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