论文标题
物理点对MUON $ G-2 $的伪级极贡献
Pseudoscalar-pole contributions to the muon $g-2$ at the physical point
论文作者
论文摘要
伪尺寸杆图是对MUON $ G-2 $逐光(HLBL)贡献的估计值的重要组成部分。我们报告了对中性伪cal的Mesons $ p =π^0 $和$η$的计算$ \ mathcal {f} _ {p \rightArrowγ^*γ^*} $。使用带有物理夸克质量的扭曲质量晶格QCD进行计算。在晶格上,我们可以访问广泛的(太空状的)光子四摩梅塔,因此产生了与实验可访问的单虚拟方向互补的表单数据,这直接导致了MUON $ G-2 $的PION-和$η$ Pele的估计。对于pion而言,我们在连续体中$ g-2 $贡献的结果与以前的晶格和数据驱动的确定相当,相对不确定性低于$ 10 \%\%$。对于$η$ Meson,我们报告了单个晶格间距的初步确定。
Pseudoscalar-pole diagrams are an important component of estimates of the hadronic light-by-light (HLbL) contribution to the muon $g-2$. We report on our computation of the transition form factors $\mathcal{F}_{P \rightarrow γ^* γ^*}$ for the neutral pseudoscalar mesons $P=π^0$ and $η$. The calculation is performed using twisted-mass lattice QCD with physical quark masses. On the lattice, we have access to a broad range of (space-like) photon four-momenta and therefore produce form factor data complementary to the experimentally accessible single-virtual direction, which directly leads to an estimate of the pion- and $η$-pole components of the muon $g-2$. For the pion, our result for the $g-2$ contribution in the continuum is comparable with previous lattice and data-driven determinations, with combined relative uncertainties below $10\%$. For the $η$ meson, we report on a preliminary determination from a single lattice spacing.