论文标题
在$Δα_ {\ rm有}（m_z^2）$和$（g_μ-2）_ {\ rm hvp} $之间的约束上
On Constraints Between $Δα_{\rm had}(M_Z^2)$ and $(g_μ-2)_{\rm HVP}$
论文作者
论文摘要
我讨论了将EM耦合到$ m_z $比例的运行$δδα（M_z^2）$估算的可能性，这是由差异$ΔA_μ$引起的，在两个确切的HADRONIC真空偏光$G_μ-2$的精确确定之间。结果表明，$ΔA_μ$的大小意味着$ΔΔα（M_z^2）$ - 移位的严格边界。对这种最小移动的任何额外贡献都必须取决于基础光谱函数的特定形状$ \ frac {1}π\immδ（t）$负责$ΔA__$ $ discrepancy。我表明，在夸克模型的情况下，总$Δα（m_z^2）$ - 移位仍然很小。我还讨论了$ \ frac {1}π\immδ（t）$的情况，在有限的$ t $区域中是一个常数，并表明在这种情况下，最高$ t _ {\ rm max} \ rm max} \ precsim 5〜〜 \ gev^2 $ HAD}^{（5）}（m_z^2）$ - 偏移，在$δα_ {\ rm ave}^{（5）}（M_z^2）$上保持低于或以下或以下错误值的顺序。
I discuss the possibility of estimating the shift $δΔα(M_Z^2)$ on the running of the EM-coupling to the $M_Z$ scale, induced by the discrepancy $Δa_μ$ between two precise determinations of the hadronic vacuum polarization contribution to $g_μ-2$. It is shown that the size of $Δa_μ$ implies rigorous bounds on the $δΔα(M_Z^2)$-shift. Any extra contribution to this minimal shift necessarily depends on the specific shape of the underlying spectral function $\frac{1}π\ImmΔ(t)$ responsible for the $Δa_μ$-discrepancy. I show that, in the case of a quark model, the total $Δα(M_Z^2)$-shift remains small. I also discuss the scenario where $\frac{1}π\ImmΔ(t)$ is a constant in a finite $t$-region and show that in this case, up to a $t_{\rm max}\precsim 5~\GeV^2$, the size of the total $δΔα_{\rm had}^{(5)}(M_Z^2)$-shift, remains below or of the order of the present error value on $Δα_{\rm had}^{(5)}(M_Z^2)$.
