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We address the contribution of the $3\pi$ channel to hadronic vacuum polarization (HVP) using a dispersive representation of the $e^+e^-\to 3\pi$ amplitude. This channel gives the second-largest individual contribution to the total HVP…

高能物理 - 唯象学 · 物理学 2019-09-04 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis

We present a detailed analysis of $e^+e^-\to\pi^+\pi^-$ data up to $\sqrt{s}=1\,\text{GeV}$ in the framework of dispersion relations. Starting from a family of $\pi\pi$ $P$-wave phase shifts, as derived from a previous Roy-equation analysis…

高能物理 - 唯象学 · 物理学 2019-02-06 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment $a_\mu$ in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP…

We compare the isospin-one, vector-current hadronic vacuum polarization (HVP) obtained from isospin-symmetric lattice QCD with that obtained from a dispersive representation employing inclusive hadronic $\tau$ decay data corrected for…

高能物理 - 唯象学 · 物理学 2026-05-13 Noah Allen , Diogo Boito , Maarten Golterman , Kim Maltman , Lucas M. Mansur , Santiago Peris

The anomalous magnetic moment of the muon $a_\mu$ is one of the most accurate quantities in Particle Physics. The long-standing discrepancy of about $3.7$ standard deviations between the experimental value and the prediction of the Standard…

高能物理 - 格点 · 物理学 2019-10-10 Davide Giusti , Silvano Simula

We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, $a_\mu^{\mathrm hvp}$, in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of…

高能物理 - 格点 · 物理学 2017-10-11 M. Della Morte , A. Francis , V. Gülpers , G. Herdoíza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

We study the pion-mass dependence of the two-pion channel in the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon $a_\mu^\text{HVP}$, by using an Omn\`es representation for the pion vector form…

高能物理 - 唯象学 · 物理学 2022-01-07 Gilberto Colangelo , Martin Hoferichter , Bastian Kubis , Malwin Niehus , Jacobo Ruiz de Elvira

The precision with which hadronic vacuum polarization (HVP) is obtained determines how accurately important observables, such as the muon anomalous magnetic moment, a_\mu, or the low-energy running of the electromagnetic coupling, \alpha,…

The ratios among the leading-order (LO) hadronic vacuum polarization (HVP) contributions to the anomalous magnetic moments of electron, muon and tau-lepton, $a_{\ell=e,\mu \tau}^{HVP,LO}$, are computed using lattice QCD+QED simulations. The…

高能物理 - 格点 · 物理学 2020-09-16 D. Giusti , S. Simula

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution to the anomalous magnetic moments of the electron, $a_e^{\rm HVP}$, the muon, $a_\mu^{\rm HVP}$, and the tau, $a_\tau^{\rm HVP}$, including both the…

高能物理 - 格点 · 物理学 2019-10-10 D. Giusti , S. Simula

We present a systematic study of the hadronic contributions to the muon anomalous magnetic moment within several infrared-improved AdS/QCD models. The models are constrained by the pion decay constant and the $\rho$-meson mass and are shown…

高能物理 - 唯象学 · 物理学 2026-03-24 Jin-Yang Shen , Wen-Yuan Peng , Ling-Yun Dai , Zhen Fang

We analyze the electromagnetic current correlator at an arbitrary photon invariant mass $q^2$ by exploiting its associated dispersion relation. The dispersion relation is turned into an inverse problem, via which the involved vacuum…

高能物理 - 唯象学 · 物理学 2020-11-18 Hsiang-nan Li , Hiroyuki Umeeda

Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_\mu is dominantly given by two-pion states satisfying L\"uscher's finite-volume quantization condition.…

高能物理 - 格点 · 物理学 2025-04-14 Sakura Itatani , Hidenori Fukaya , Shoji Hashimoto

We compute the leading order hadronic vacuum polarization (LO-HVP) contribution to the anomalous magnetic moment of the muon, $(g_\mu-2)$, using lattice QCD. Calculations are performed with four flavors of 4-stout-improved staggered quarks,…

We compute the isospin-violating part $a_\mu^{\text{HVP}, 38}$ of the hadronic-vacuum-polarization (HVP) contribution to the muon $(g-2)$ in lattice QCD at the SU$(3)_{\rm f}$-symmetric point where $M_\pi=M_K\simeq 416$ MeV. All diagrams…

This study establishes bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_\mu^{\mathrm{HVP,LO}}$, $a_\mu = (g-2)_\mu/2$) by using H\"older's inequality and…

高能物理 - 唯象学 · 物理学 2024-08-29 Siyuan Li , T. G. Steele , J. Ho , R. Raza , K. Williams , R. T. Kleiv

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…

高能物理 - 唯象学 · 物理学 2025-10-21 Stephan Narison

The pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon $(g-2)_\mu$ is fully determined by the doubly-virtual pion transition form factor. Although this crucial input quantity is, in…

高能物理 - 唯象学 · 物理学 2018-10-26 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis , Stefan Leupold , Sebastian P. Schneider

QCD bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_\mu^{\mathrm{HVP,LO}}$, $a_\mu=\left(g-2\right)_\mu/2$) are determined by imposing H\"older inequalities…

高能物理 - 唯象学 · 物理学 2024-08-01 Siyuan Li , T. G. Steele , J. Ho , R. Raza , K. Williams , R. T. Kleiv

We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by…

高能物理 - 格点 · 物理学 2018-12-19 D. Giusti , F. Sanfilippo , S. Simula
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