论文标题
G-2中横向自由度和轴向矢量介体的相互作用与短距离限制
The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
论文作者
论文摘要
我们重新审视了众所周知的短途限制，将Hadronic Light-Light Green的功能与$ \ langle vva \ rangle $ ONE相关联，这是过去几年中Muon $（G-2）$的辩论主题。具体而言，我们确定了轴向异常实现的纵向和横向自由度之间的关系，相比之下，过去没有受到关注。这种关系允许在描述轴向矢量介子过渡形态时克服基本歧义的问题，但也讨论了进一步的应用，特别关注轴向矢量介子在HLBL对MUON $（G-2）$贡献中的作用。我们的结果还应该有助于更好地理解与纵向和横向自由度（例如轴向矢量膜）的短途限制之间有争议的相互作用。这是面对MUON $（G-2）$的理论和实验结果的关键，该结果目前表现出$4.2σ$张力。
We revisit well-known short-distance constraints relating the hadronic light-by light Green's function to the $\langle VVA \rangle$ one, that have been a subject of debate over the past years in the context of the muon $(g-2)$. Specifically, we identify a relation among the longitudinal and transverse degrees of freedom that is enforced by the axial anomaly that, by contrast, has not received attention in the past. Such relation allows, among other things, to overcome the problem of basis ambiguities when describing axial-vector mesons transition form factors, but further applications are discussed as well, with special focus on the role of axial-vector mesons in the HLbL contribution to the muon $(g-2)$. Our results should also contribute to a better understanding of the, so far, controversial interplay among short-distance constraints with longitudinal and transverse degrees of freedom, such as axial-vector mesons. This is key to confront the theoretical and experimental result for the muon $(g-2)$ that, currently, exhibits a $4.2σ$ tension.
