再论$ρ(770)$介子的光夸克和奇夸克质量依赖性
Light- and strange-quark mass dependence of the $ρ(770)$ meson revisited
摘要：
最近的晶格数据$ππ$散射相移的矢量等矢量通道，赝标介子质量和衰变常数的奇夸克质量小于或等于物理值，使我们能够研究这些观测值的奇异性依赖的第一次。我们根据夸克质量之和或奇夸克质量是否固定在物理点上，对两种晶格轨迹进行了全局分析。这些观测量的夸克质量依赖性是从归一化耦合通道单圈手征微扰理论中提取的。这种分析指导了对$ρ(770)$介子在奇异夸克质量比物理质量轻的轨道上以及SU（3）对称线上的性质的新预测。结果讨论了$ρ(770)$介子参数对轻夸克和奇夸克质量的依赖性，并给出了幺正单圈手征微扰理论中低能常数的精确值.最后，研究了目前$ρ(770)$介子的二味和三味晶格结果之间的差异。
英文摘要：
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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