论文标题
独家$（π^0π^0，π^0η）γ$通道的贡献对MUON $ G-2 $的领先顺序HVP
Contribution of exclusive $(π^0π^0, π^0η, ηη)γ$ channels to the leading order HVP of the muon $g-2$
论文作者
论文摘要
我们评估了$（π^0π^0，π^0η，η之η）γ$的贡献对穆恩异常磁矩的领先阶HVP的分散积分的γ$。这些频道以某种方式包括在对$π^0Ω，ηΩ$和$ ηϕ $贡献$a_μ^{\ rm ate，lo} $的先前评估中，其中矢量共振（衰减到$π^0/η+γ$）中被认为是在shell中。由于一般而言，由于在给定的可观察到的共鸣和背景贡献之间的分离是一个与模型有关的程序，因此我们在这里使用伪内的膜和光子作为$ in $ in $ in $ in $ e^+e^+e^ - \ to（π^0π^0π^0，π^0，π^0η，π^0η）$ $ $ $ -Matrix crotter crottery的相互作用，例如振幅。我们发现$ a^{\ rm有，lo}_μ（p^0_1p^0_2γ）=（1.13 \ pm 0.13）\ times 10^{ - 10} $，其中不确定性主要源自矢量erson Meson主导模型参数。在2个GEV以下的整个范围内，改进了这些独家通道的实验研究将降低模型依赖性。
We evaluate the contributions of $(π^0π^0, π^0η, ηη)γ$ exclusive channels to the dispersion integral of the leading order HVP of the muon anomalous magnetic moment. These channels are included in some way in previous evaluations of the $π^0ω, ηω$ and $ηϕ$ contributions to $a_μ^{\rm had, LO}$, where the vector resonances (decaying into $π^0/η+ γ$) are assumed to be on-shell. Since the separation of resonance and background contributions in a given observable is, in general, a model-dependent procedure, here we use pseudoscalar mesons and the photon as the $in$ and $out$ states of the $e^+e^- \to (π^0π^0, π^0η, ηη)γ$ $S$-matrix, such that the cross section contains the interferences among different contributing to the amplitudes. We find $a^{\rm had, LO}_μ(P^0_1P^0_2γ)=(1.13\pm 0.13 ) \times 10^{-10}$, where uncertainties stem mainly from vector meson dominance model parameters. Improved experimental studies of these exclusive channels in the whole range below 2 GeV would reduce model-dependency.
