格点量子色动力学中的弥散谱函数：机遇与挑战
Smeared spectral functions from lattice QCD: opportunities and challenges
- KEK（高能加速器研究机构）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文聚焦格点量子色动力学中的弥散谱函数，总结其相关研究进展，探讨其在μ子g-2等物理问题中的应用机遇，同时指出从欧几里得关联函数重建该谱函数的不适定性挑战。
AI中文摘要：
一大类物理可观测量可由弥散谱函数表示，重要实例包括μ子g-2的强子真空极化贡献、强子τ衰变、 inclusive半轻B与D衰变，以及B→K^(* )ℓ⁺ℓ⁻等稀有过程的振幅。近年来，已提出多种方法从欧几里得关联函数及相关输入重建或约束这类谱函数，但该逆问题本质上是不适定的，难以获得完全可靠、与模型无关且不确定性可控的结果。本文总结了近期进展，探讨弥散谱可观测量提供的机遇，并强调尚存的主要挑战。
英文摘要：
A broad class of physical observables can be expressed in terms of smeared spectral functions. Important examples include the hadronic vacuum polarization contribution to the muon $g-2$, hadronic $τ$ decays, inclusive semileptonic $B$ and $D$ decays, and amplitudes for rare processes such as $B\to K^{(*)}\ell^+\ell^-$. In recent years, a variety of methods have been proposed to reconstruct or constrain such spectral functions from Euclidean correlators and related inputs. However, the inverse problem is intrinsically ill-posed, making it difficult to obtain fully reliable, model-independent results with controlled uncertainties. In this contribution, I summarize recent developments, discuss the opportunities offered by smeared spectral observables, and highlight the main challenges that remain.
