To resolve the long-standing discrepancy between the precision measurement of bottom quark forward-backward asymmetry at LEP/SLC and the Standard Model prediction, we propose a novel method to probe the $Zb\overline{b}$ coupling by measuring the single-spin asymmetry $A_e^b$ of the polarized lepton cross section in neutral current DIS processes with a b-tagged jet at HERA and EIC. Depending on the tagging efficiency of the final state b-jet, the measurement of $A_e^b$ at HERA can already partially break the degeneracy found in the anomalous $Zb\overline{b}$ coupling, as implied by the LEP and SLC precision electroweak data. In the first year run of the EIC, the measurement of $A_e^b$ can already break the degeneracy, due to its much larger luminosity and higher electron beam polarization. With enough integrated luminosity collected at the EIC, it is possible to either verify or exclude the LEP data and resolve the $A_{\mathrm{FB}}^b$ puzzle. We also discuss the complementary roles between the proposed $A_e^b$ measurement at EIC and the measurement of $gg\to Zh$ cross section at the HL-LHC in constraining the anomalous $Zb\overline{b}$ coupling.

为了解决 LEP/SLC 底夸克前后不对称的精确测量与标准模型预测之间长期存在的差异，我们提出了一种新的方法来探测 $Z乙\overline{乙}$ 通过测量单自旋不对称性来耦合 ${\mathrm{一种}}_{\mathrm{电子}}^{乙}$中性电流 DIS 过程中极化轻子截面的图，在 HERA 和 EIC 处带有b标记射流。取决于最终状态b- jet的标记效率，测量${\mathrm{一种}}_{\mathrm{电子}}^{乙}$ 在 HERA 已经可以部分打破在异常中发现的退化 $Z乙\overline{乙}$耦合，正如 LEP 和 SLC 精密电弱数据所暗示的那样。在 EIC 的第一年运行中，测量${\mathrm{一种}}_{\mathrm{电子}}^{乙}$由于其更大的光度和更高的电子束极化，它已经可以打破简并性。在 EIC 收集到足够的积分光度后，可以验证或排除 LEP 数据并解决问题${\mathrm{一种}}_{\mathrm{FB}}^{乙}$谜。我们还讨论了提议之间的互补作用${\mathrm{一种}}_{\mathrm{电子}}^{乙}$ 在 EIC 测量和测量 $GG\to ZH$ HL-LHC 的横截面限制异常 $Z乙\overline{乙}$ 耦合。