高能物理 - 格点
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显示 2025年08月05日， 星期二 新的列表
- [1] arXiv:2508.01377 [中文pdf, pdf, html, 其他]
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标题： 矩问题和矩阵值模糊谱函数的界限标题： Moment problems and bounds for matrix-valued smeared spectral functions评论： 17页，5图主题： 高能物理 - 格点 (hep-lat) ; 高能物理 - 理论 (hep-th)
数值解析延拓在格点场论中经常出现，特别是在光谱学问题中。 这项工作表明常见的光谱学问题与某些在数学文献中已被深入研究的矩问题类别等价。 Kovalishina 的数学结果使得可以对平滑的矩阵值谱函数得出严格的界限，这是首次在数值上实现。 所需的输入是一个正定的欧几里得时间关联函数矩阵；这样的矩阵在使用格点量子色动力学的变分光谱研究中通常会被计算。 这项工作将矩问题的观点与最近使用的瑞利-里茨方法和伦佐斯算法的发展联系起来。 讨论了由于数值精度有限可能带来的限制。
Numerical analytic continuation arises frequently in lattice field theory, particularly in spectroscopy problems. This work shows the equivalence of common spectroscopic problems to certain classes of moment problems that have been studied thoroughly in the mathematical literature. Mathematical results due to Kovalishina enable rigorous bounds on smeared matrix-valued spectral functions, which are implemented numerically for the first time. The required input is a positive-definite matrix of Euclidean-time correlation functions; such matrices are routinely computed in variational spectrum studies using lattice quantum chromodynamics. This work connects the moment-problem perspective to recent developments using the Rayleigh--Ritz method and Lanczos algorithm. Possible limitations due to finite numerical precision are discussed.
- [2] arXiv:2508.01900 [中文pdf, pdf, html, 其他]
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标题： 格点计算中性子无中微子双贝塔衰变的短程贡献$π^-\toπ^+ ee$在物理介子质量下的研究标题： Lattice Calculation of Short-Range Contributions to Neutrinoless Double-Beta Decay $π^-\toπ^+ ee$ at Physical Pion MassPeter Boyle, Felix Erben, Xu Feng, Jonathan M. Flynn, Nicolas Garron, Taku Izubuchi, Luchang Jin, Rajnandini Mukherjee, J. Tobias Tsang, Xin-Yu Tuo评论： 26页，13图主题： 高能物理 - 格点 (hep-lat) ; 高能物理 - 现象学 (hep-ph) ; 核理论 (nucl-th)
中微子无中微子双β（$0\nu\beta\beta$）衰变提供了一个很好的探针，用于确定中微子是狄拉克费米子还是马约拉纳费米子。 与$\pi^- \to \pi^+ ee$过程相关的短程矩阵元在$0\nu\beta\beta$衰变通道$nn \to ppee$中通过核子之间的介子交换在主导阶起作用。 然而，目前的格点计算在预测这些短程贡献方面显示出显著的差异。 为了解决这个问题，我们使用由 RBC 和 UKQCD 合作组生成的物理介子质量下的域墙费米子集合，对$\pi^- \to \pi^+ ee$矩阵元进行格点 QCD 计算。 为了减轻环绕世界效应的污染，我们开发了一种新方法，直接从格点数据中重建并减去这些效应。 然后我们使用 RI/SMOM 方案进行非微扰归一化。 与之前的研究相比，这项工作降低了矩阵元中的不确定性，并提供了一个独立的交叉验证，有助于调和之前格点计算之间的差异。
Neutrinoless double-beta ($0\nu\beta\beta$) decays provide an excellent probe for determining whether neutrinos are Dirac or Majorana fermions. The short-range matrix elements associated with the $\pi^- \to \pi^+ ee$ process contribute at leading order in the $0\nu\beta\beta$ decay channel $nn \to ppee$ through pion exchange between nucleons. However, current lattice calculations show notable discrepancies in predicting these short-range contributions. To address this issue, we perform a lattice QCD calculation of the $\pi^- \to \pi^+ ee$ matrix elements using domain wall fermion ensembles at the physical pion mass generated by the RBC and UKQCD Collaborations. To mitigate contamination from around-the-world effects, we develop a new method to reconstruct and subtract them directly from lattice data. We then perform a nonperturbative renormalization using the RI/SMOM scheme. Compared with previous studies, this work reduces the uncertainties in the matrix elements and provides an independent cross-check that helps to reconcile the discrepancies among previous lattice calculations.
- [3] arXiv:2508.02326 [中文pdf, pdf, html, 其他]
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标题： 空心晶格张量规范理论与玻色子物质标题： Hollow Lattice Tensor Gauge Theories with Bosonic Matter主题： 高能物理 - 格点 (hep-lat) ; 强关联电子 (cond-mat.str-el)
高阶规范理论是电磁学的推广，在这种理论中，除了整体电荷守恒外，还有更高阶多极子的守恒，例如总偶极矩。 在这项工作中，我们研究了一种四维晶格张量规范理论，该理论与玻色物质耦合，具有二阶张量电场和磁场，并且在单独的平面上有电荷守恒。 从哈密顿量出发，我们推导了与$q=1,2$电荷标量耦合的规范场的晶格作用量。 我们使用作用量公式进行蒙特卡罗模拟，以绘制相图作为规范（$\beta$）和物质（$\kappa$）耦合的函数。 我们在纯规范理论中计算了强耦合和弱耦合下的关联函数性质，并将结果与数值模拟进行比较。 模拟显示，朴素的弱耦合区域（小$\kappa$，大$\beta$）在热力学极限下并不成立。 相反，强耦合的禁闭相覆盖整个相图。 是瞬子的大量出现破坏了弱耦合相，我们通过对偶变换表明，在威尔逊线关联函数的类似物中存在预期的强禁闭。 对于有限物质耦合在$q=1$，我们发现一个热力学相，尽管存在一个一阶相变，终止于临界端点。对于$q=2$，已知在 Higgs 机制深处，具有$\mathbb{Z}_2$分形拓扑序的 X-立方体模型被恢复。模拟确实在此情况下揭示了一个明显的 Higgs 相。
Higher rank gauge theories are generalizations of electromagnetism where, in addition to overall charge conservation, there is also conservation of higher rank multipoles such as the total dipole moment. In this work we study a four dimensional lattice tensor gauge theory coupled to bosonic matter which has second rank tensor electric and magnetic fields and charge conservation on individual planes. Starting from the Hamiltonian, we derive the lattice action for the gauge fields coupled to $q=1,2$ charged scalars. We use the action formulation to carry out Monte Carlo simulations to map the phase diagram as a function of the gauge ($\beta$) and matter ($\kappa$) couplings. We compute the nature of correlators at strong and weak coupling in the pure gauge theory and compare the results to numerical simulations. Simulations show that the naive weak coupling regime (small $\kappa$, large $\beta$) does not survive in the thermodynamic limit. Instead, the strong coupling confined phase, spans the whole phase diagram. It is a proliferation of instantons that destroys the weak coupling phase and we show, via a duality transformation, that the expected strong confinement is present in the analog of Wilson line correlators. For finite matter coupling at $q=1$ we find a single thermodynamic phase albeit with a first order phase transition terminating in a critical endpoint.For $q=2$ it is known that the the X-cube model with $\mathbb{Z}_2$ fractonic topological order is recovered deep in the Higgs regime. The simulations indeed reveal a distinct Higgs phase in this case.
新提交 (展示 3 之 3 条目 )
- [4] arXiv:2508.02196 (交叉列表自 hep-ph) [中文pdf, pdf, html, 其他]
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标题： 核子质量在协变重子手征微扰理论中至二环阶的计算标题： Nucleon mass in covariant baryon chiral perturbation theory at leading two-loop order评论： 6页，1图，第21届国际强子谱学与结构会议（HADRON2025）论文集主题： 高能物理 - 现象学 (hep-ph) ; 高能物理 - 格点 (hep-lat)
我们在重子手征微扰理论（BChPT）的明显相对论公式中计算核子质量，将该框架扩展到领先两环阶（$\mathcal{O}(p^5)$）。 通过采用维度计数分析并严格验证该阶的扩展实质量壳方案，我们获得了一个完整的核子质量手征表示，该表示保持解析性，遵守正确的幂次计数，并保持重整化尺度不变性。 所得表达式表现出良好的收敛性，$\mathcal{O}(p^5)$贡献保持较小（$\sim 8~\rm{MeV}$）。 该公式为手征外推提供了坚实的理论基础，在广泛的介子质量范围内与格点QCD数据表现出显著的一致性（$M_\pi \lesssim 300~\rm{MeV}$）。 这一计算的成功确立了两环相对论BChPT作为研究核子结构及相关性质的精密工具。
We calculate the nucleon mass within a manifestly relativistic formulation of baryon chiral perturbation theory (BChPT), extending the framework to leading two-loop order ($\mathcal{O}(p^5)$). By employing dimensional counting analysis and rigorously verifying the extended on-mass-shell scheme at this order, we obtain a complete chiral representation of the nucleon mass that preserves analyticity, respects proper power counting, and maintains renormalization-scale independence. The resulting expression exhibits excellent convergence, with $\mathcal{O}(p^5)$ contributions remaining small ($\sim 8~\rm{MeV}$). This formulation provides a robust foundation for chiral extrapolation, demonstrating remarkable agreement with lattice QCD data across a wide range of pion masses ($M_\pi \lesssim 300~\rm{MeV}$). The success of this calculation establishes two-loop relativistic BChPT as a precision tool for studying nucleon structure and related properties.
- [5] arXiv:2508.02659 (交叉列表自 cond-mat.str-el) [中文pdf, pdf, html, 其他]
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标题： 通过嵌入广义指尖HMC来增强世界体积HMC的遍历性标题： Enhancing the ergodicity of Worldvolume HMC via embedding Generalized-thimble HMC评论： 32页，12图主题： 强关联电子 (cond-mat.str-el) ; 高能物理 - 格点 (hep-lat) ; 高能物理 - 理论 (hep-th)
世界体积混合蒙特卡罗（WV-HMC）方法[arXiv:2012.08468]是一种高效且通用的算法，可以同时缓解符号问题和遍历性问题——后者是基于Lefschetz鞍点的算法固有的问题。 我们考虑一种情况，其中最大流时间可以设置为一个较小的值，这发生在将WV-HMC应用于掺杂Hubbard模型时使用了一个非物理的冗余参数。 该参数的最优选择显著减少了原始积分表面上的符号问题，并允许最大流时间保持较小，这一特性有助于在保持计算时间适中的情况下增加系统大小。 然而，随着世界体积变成一层薄层，越来越难以有效地探索它，从而可能导致遍历性问题。 为了克服这一限制，我们提出将广义鞍点混合蒙特卡罗（GT-HMC）嵌入到WV-HMC框架中。 GT-HMC在固定流时间的变形表面上执行HMC更新。 尽管由于玻尔兹曼权重零点处无限高的势垒而存在遍历性问题，但它能够在允许区域内更有效地探索。 此外，其分子动力学步长通常可以比WV-HMC更大。 因此，GT-HMC更适合采样遍历性问题不严重的区域。 我们提供了一个证明，说明GT-HMC可以嵌入到WV-HMC算法中，并验证了两种方法——纯WV-HMC和组合版本——在统计误差范围内对于二维掺杂Hubbard模型在$6 \times 6$空间晶格上，$T/\kappa = 1/6.4\simeq 0.156$和$U/\kappa = 8.0$以及Trotter数$N_t = 20$（$\kappa$：跃迁参数）的情况下结果一致。
The Worldvolume Hybrid Monte Carlo (WV-HMC) method [arXiv:2012.08468] is an efficient and versatile algorithm that simultaneously mitigates both the sign problem and the ergodicity problem -- the latter being intrinsic to algorithms based on Lefschetz thimbles. We consider a situation in which the maximum flow time can be set to a small value, as occurs when WV-HMC is applied to the doped Hubbard model using a nonphysical redundant parameter. An optimal choice of this parameter significantly reduces the sign problem on the original integration surface and allows the maximum flow time to remain small, a feature that facilitates increasing the system size while keeping the computation time modest. However, as the worldvolume becomes a thin layer, it becomes increasingly difficult to explore it efficiently, leading to potential ergodicity issues. To overcome this limitation, we propose embedding the Generalized-thimble HMC (GT-HMC) into the WV-HMC framework. GT-HMC performs HMC updates on a deformed surface at a fixed flow time. Although it suffers from ergodicity issues due to infinitely high potential barriers at the zeros of the Boltzmann weight, it enables more efficient exploration within the allowed region. Furthermore, its molecular dynamics step size can typically be taken to be larger than in WV-HMC. GT-HMC is thus better suited for sampling regions where ergodicity issues are not serious. We provide a proof that GT-HMC can be embedded within the WV-HMC algorithm, and verify that the two methods -- the pure WV-HMC and the combined version -- yield consistent results within statistical errors for the two-dimensional doped Hubbard model on a $6 \times 6$ spatial lattice at $T/\kappa = 1/6.4\simeq 0.156$ and $U/\kappa = 8.0$ with Trotter number $N_t = 20$ ($\kappa$: hopping parameter).
交叉提交 (展示 2 之 2 条目 )
- [6] arXiv:2505.03446 (替换) [中文pdf, pdf, html, 其他]
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标题： O(5) 多临界性在 3D 两味 SU(2) 格点规范希格斯模型中标题： O(5) multicriticality in the 3D two flavor SU(2) lattice gauge Higgs model评论： 10页，8个PDF图，拼写错误已更正主题： 高能物理 - 格点 (hep-lat) ; 统计力学 (cond-mat.stat-mech)
我们数值研究了三维格点系统中多临界行为，其中SU(2)规范场与两个在规范群基本表示下变换的标量场耦合。 在这个系统中存在一个多临界点，其中全局对称性O(2)$\oplus$O(3)被扩展为O(5)。 对于一般系统，这种对称性扩展会受到O(5)多临界点不稳定的阻碍，但SU(2)规范对称性阻止了触发不稳定的项的出现。 在这个格点规范模型中得到的所有数值结果都完全支持来自O(2)$\oplus$O(3)多临界Landau-Ginzburg-Wilson$\phi^4$理论的预期，并我们讨论了这些结果对某些无禁闭量子临界性模型的可能影响。
We numerically investigate the multicritical behavior of the three dimensional lattice system in which a SU(2) gauge field is coupled to two flavors of scalar fields transforming in the fundamental representation of the gauge group. In this system a multicritical point is present, where the global symmetry O(2)$\oplus$O(3) gets enlarged to O(5). Such a symmetry enlargement is hindered for generic systems by the instability of the O(5) multicritical point, but the SU(2) gauge symmetry prevents the appearance of the term triggering the instability. All the numerical results obtained in this lattice gauge model fully support the expectations coming from the O(2)$\oplus$O(3) multicritical Landau-Ginzburg-Wilson $\phi^4$ theory, and we discuss possible implications of these results for some models of deconfined quantum criticality.
- [7] arXiv:2412.00187 (替换) [中文pdf, pdf, html, 其他]
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标题： 引导强子缪子异常的自助法标题： Bootstrapping leading hadronic muon anomaly评论： v2：15页，8图，即将发表于PRD主题： 高能物理 - 理论 (hep-th) ; 高能物理 - 实验 (hep-ex) ; 高能物理 - 格点 (hep-lat) ; 高能物理 - 现象学 (hep-ph)
我们使用单位性、解析性质、交叉对称性和量子色动力学（QCD）的有限能标积分关系（FESR）来对$a_\mu$的主导阶次强子贡献进行自举，从而建立一个下限。 将这个下限与量子电动力学和弱电相互作用中精确计算的剩余贡献相结合，我们得到了缪子异常$a_\mu$的下限。 由于 FESR 存在不确定性，我们的界限取决于这些不确定性内的 FESR 选择。 一种保守的 FESR 选择给出了保守的下限，与标准模型（SM）数据驱动的预测一致。 我们表明，在不确定性范围内存在其他有效的 FESR 选择，它们会导致下限，这些下限与 SM 数据驱动的预测不一致，但与缪子异常的测量值一致。 自举的谱密度显示了一个类似实验强子交叉比数据的$\rho$激发态峰，为$\rho$介子质量提供了自举预测。
We bootstrap the leading order hadronic contribution to $a_\mu$ using unitarity, analytic properties, crossing symmetry and finite energy sum rules (FESR) from quantum chromodynamics (QCD), establishing a lower bound. Combining this lower bound with the remaining precisely calculated contributions from quantum electrodynamics and electroweak interactions, we achieve a lower bound on muon anomaly $a_\mu$. Since the FESRs have uncertainties, our bound depends on the choices of FESRs within these uncertainties. A conservative choice of the FESR gives a conservative lower bound, consistent with Standard Model (SM) data-driven prediction. We show that there are other valid choices of FESRs within the uncertainties that lead to lower bounds, which are inconsistent with SM data-driven prediction but consistent with the measured values of the muon anomaly. The bootstrapped spectral density shows a $\rho$-resonance peak similar to experimental hadronic cross-ratio data, providing a bootstrap prediction for $\rho$-meson mass.
- [8] arXiv:2501.14386 (替换) [中文pdf, pdf, html, 其他]
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标题： 一个环修正是否足以描述一胶子交换势的奇特介子谱？标题： Can one-loop corrections to the one-gluon exchange potential adequately describe the charmed meson spectrum?评论： 9页，2表，1图主题： 高能物理 - 现象学 (hep-ph) ; 高能物理 - 实验 (hep-ex) ; 高能物理 - 格点 (hep-lat) ; 核实验 (nucl-ex) ; 核理论 (nucl-th)
我们使用包含一环修正的夸克模型（CQM）来研究魅夸克介子谱。该研究旨在了解我们改进后的CQM是否足以解释实验上观察到的魅夸克介子谱，而无需引入如杂种介子或四夸克态等奇异夸克和胶子构型。在这个模型中，计算了魅夸克介子的质量，并将理论预测与实验数据进行比较。结果表明，在不确定度范围内，我们的理论框架通常能再现魅夸克介子观察到的质量分裂和能级顺序。特别是，通过引入高阶相互作用项，$P$波态中理论与实验之间的显著差异得到了明显改善。因此，研究结果强调，尽管传统夸克模型在完全描述魅夸克介子方面存在局限，但增强的势项可能有助于弥合理论与实验观测之间的差距。该研究为未来实验验证预测激发态的魅夸克介子提供了一个框架。
We investigate the charmed meson spectrum using a constituent quark model (CQM) with one-loop corrections applied to the one-gluon exchange (OGE) potential. The study aims to understand if the modified version of our CQM sufficiently account for the charmed meson spectrum observed experimentally, without invoking exotic quark and gluon configurations such as hybrid mesons or tetraquarks. Within this model, charmed mesons' masses are computed, comparing theoretical predictions to experimental data. The results, within uncertainties, suggest that our theoretical framework generally reproduces mass splittings and level ordering observed for charmed mesons. Particularly, large discrepancies between theory and experiment found in $P$-wave states are, at least, significantly ameliorated by incorporating higher-order interaction terms. Therefore, the findings emphasize that while the traditional quark model is limited in fully describing charmed mesons, enhanced potential terms may bridge the gap with experimental observations. The study contributes a framework for predicting excited charmed meson states for future experimental validation.
- [9] arXiv:2505.21193 (替换) [中文pdf, pdf, html, 其他]
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标题： 奇特夸克态的图像标题： Portraits of Charmoniumlike States评论： v2：扩展了晶格结果的讨论，并更新了若干图表以提高可读性；所有物理结论保持不变主题： 高能物理 - 现象学 (hep-ph) ; 高能物理 - 格点 (hep-lat)
奇异夸克密度-密度相关性被计算用于$1S$和$1P$常规J/ψ粒子和$J^{PC}=1^{-+},0^{+-}$类J/ψ态，从格点QCD得出，并被解释为这些态的空间波函数，有一些近似。 在常规J/ψ粒子中，$c\bar{c}$的角分布与二体系统的预期一致，而$1^{-+}$态的角分布表现出$S$-波特征。 然而，$c\bar{c}$径向分布明显不同于非相对论夸克模型，可以通过两体束缚态的狄拉克理论来理解。 这些结果提供了首次规范不变且与模型无关的类J/ψ态的三维图像。
The charm quark density-density correlation is calculated for $1S$ and $1P$ conventional charmonia and $J^{PC}=1^{-+},0^{+-}$ charmoniumlike states from lattice QCD and are interpreted as spatial wave functions of these states with some approximations. The angular distributions of $c\bar{c}$ in conventional charmonia are found to be in accordance with the expectation of two-body systems, while that of the $1^{-+}$ state exhibits an $S$-wave feature. However, the $c\bar{c}$ radial distributions turn out to be strikingly different from the non-relativistic quark model and can be understood by the Dirac theory of two-body bound states. These results provide the first gauge invariant and model-independent three-dimensional portraits of charmonium(like) states.
- [10] arXiv:2507.18239 (替换) [中文pdf, pdf, html, 其他]
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标题： 重新审视来自$e^+ e^-\to$介子的μ子异常标题： Revisiting the Muon Anomaly from $e^+ e^-\to$ HadronsStephan Narison (LUPM and iHEPMAD)评论： LaTeX源文件，22页，17图，2表。增加了与τ衰变估计的比较。在QCD25会议上所做的综述报告，40周年纪念，2025年6月30日至7月4日（法国蒙彼利埃）主题： 高能物理 - 现象学 (hep-ph) ; 高能物理 - 实验 (hep-ex) ; 高能物理 - 格点 (hep-lat)
在本次演讲中，我重新回顾并提出了对μ子反常磁矩（μ子异常）的最低阶强子真空极化（HVP）贡献的更全面的估计，该估计来自最近参考文献[1]中获得的从$e^+e^-\to$介子得到的$a_\mu\vert_{hvp}^{lo}$。新的CMD-3数据关于$e^+e^-\to 2\pi$[2]以及精确的BABAR [3]和最近的BELLE2 [4]$e^+e^-\to 3\pi$数据被用来更新低于$\phi$介子质量的$I=0$同位旋标量通道的估计。将PDG22 [5]在1 GeV以上的数据以及参考文献中使用的QCD改进连续谱相结合。 [1] 可以得出： $a_\mu\vert^{hvp}_{lo}=(7043\pm 37)\times 10^{-11} $.与之前的数据驱动（$e^+e^-$和$\tau$衰变）估计进行比较。包括高阶$a_\mu\vert_{hvp}^{ho}$校正，现象学估计的轻子光子散射至NLO，以及QED和电弱（EW）贡献，得到：$\Delta a_\mu^{pheno}\equiv a_\mu^{exp}-a_{\mu}^{pheno}= (81\pm 41)\times 10^{-11}$其中使用了最近的实验值$a_\mu^{exp}$[6]。 这个结果巩固了参考文献中的先前结果。 [1]，在添加了$\pi^0\gamma,\eta\gamma$贡献后，可以与最精确的格点结果$\Delta a_\mu^{lattice}= (90\pm 56)\times 10^{-11}$进行比较。 然后，我们得出(tentative) SM预测平均值：$\Delta a_\mu^{SM} = (87\pm 33)\times 10^{-11}$。 通过在参考文献[1]中的贡献基础上添加$\pi^0\gamma,\eta\gamma$贡献，我们完善了本文对LO HVP贡献的预测。 然后，我们得到：对于5种味道，$a_\tau\vert^{hvp}_{lo}=(3516\pm 25)\times 10^{-11} $和$\Delta \alpha^{(5)}_{had}(M_Z^2)=(2770.7\pm 4.5)\times 10^{-5}$。
In this talk, I revisit and present a more comprehensive estimate of the lowest order Hadronic Vacuum Polarization (HVP) contribution $a_\mu\vert_{hvp}^{lo}$ to the muon anomalous magnetic moment (muon anomaly) from $e^+e^-\to$ Hadrons obtained recently in Ref.[1]. New CMD-3 data on $e^+e^-\to 2\pi$ [2] and precise BABAR [3] and recent BELLE2 [4] $e^+e^-\to 3\pi$ data are usedto update the estimate of the $I=0$ isoscalar channel below the $\phi$-meson mass. Adding the data compiled by PDG22 [5] above 1 GeV and the QCD improved continuum used in Ref. [1], one deduces: $a_\mu\vert^{hvp}_{lo}=(7043\pm 37)\times 10^{-11} $.A comparison with previous data driven ($e^+e^-$ and $\tau$-decays) estimates is done.Including the Higher Order $a_\mu\vert_{hvp}^{ho}$ corrections, the phenomenological estimate of the Hadronic Light by Light scattering up to NLO and the QED and Electroweak (EW) contributions, one obtains: $\Delta a_\mu^{pheno}\equiv a_\mu^{exp}-a_{\mu}^{pheno}= (81\pm 41)\times 10^{-11}$ where the recent experimental value $a_\mu^{exp}$ [6] has been used. This result consolidates the previous one in Ref.[1], after adding the $\pi^0\gamma,\eta\gamma$ contributions, and can be compared with the one from the most precise Lattice result $\Delta a_\mu^{lattice}= (90\pm 56)\times 10^{-11}$. Then, we deduce the (tentative) SM prediction average : $\Delta a_\mu^{SM} = (87\pm 33)\times 10^{-11}$. We complete the paper by revising our predictions on the LO HVP contributions in adding the $\pi^0\gamma,\eta\gamma$ contributions to the ones in Ref.[1]. Then, we obtain: $a_\tau\vert^{hvp}_{lo}=(3516\pm 25)\times 10^{-11} $ and $\Delta \alpha^{(5)}_{had}(M_Z^2)=(2770.7\pm 4.5)\times 10^{-5}$ for 5 flavours.
- [11] arXiv:2507.23786 (替换) [中文pdf, pdf, html, 其他]
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标题： 强子内的尺度异常引起的约束压力标题： Scale-anomaly-induced confining pressure within hadrons评论： 7页，2图主题： 高能物理 - 现象学 (hep-ph) ; 高能物理 - 实验 (hep-ex) ; 高能物理 - 格点 (hep-lat) ; 高能物理 - 理论 (hep-th) ; 核理论 (nucl-th)
量子色动力学尺度异常对强子内部压力分布的影响是基于能量-动量张量的迹-迹零分解来研究的。 利用最近的与模型无关的引力形式因子结果作为输入，在瞬时形式和光锥形式下分析了介子和核子的压力分布。 发现在所有情况下，尺度异常主要产生束缚压力。 这一结果表明该现象是一个普遍特征，与模型、强子类型和形式的选择无关。
The effect of the QCD scale anomaly on the internal pressure distribution of hadrons is studied based on the trace-traceless decomposition of the energy-momentum tensor. Using recent model-independent results of gravitational form factors as input, the pressure distributions of both pions and nucleons are analyzed in the instant form and the light-front form. It is found that, in all cases, the scale anomaly dominantly generates the confining pressure. This result suggests that the phenomenon is a universal feature, independent of models, types of hadrons, and the choice of form.