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We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order electromagnetic (e.m.) corrections. We employ the…

High Energy Physics - Lattice · Physics 2018-04-18 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are…

High Energy Physics - Lattice · Physics 2018-04-18 M. Della Morte , A. Francis , A. Gérardin , V. Gülpers , G. Herdoiza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

The discrepancy on the muon anomalous magnetic moment values obtained via a direct measurement and via a data-driven theory determination that uses the experimentally measured hadronic cross section, is among the long standing and most…

High Energy Physics - Experiment · Physics 2026-01-21 Zhiqing Zhang

In this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the HLbL contribution to the anomalous magnetic…

High Energy Physics - Phenomenology · Physics 2017-05-02 Gilberto Colangelo , Martin Hoferichter , Massimiliano Procura , Peter Stoffer

The cross section of the process $e^+e^-\to\pi^+\pi^-$ has been measured in the center-of-mass energy range from 0.32 to 1.2 GeV with the CMD-3 detector at the electron-positron collider VEPP-2000. The measurement is based on an integrated…

We have reevaluated the hadronic contribution to the anomalous magnetic moment of the muon (g-2) and to the running of the QED fine structure constant alpha(s) at s=M_Z**2. We incorporated new data from hadronic tau decays, recently…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alemany , M. Davier , A. Hocker

We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from {the} connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u$,…

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron $g-2$. For the leading order contributions I find $a_\mu^{\mathrm{had}(1)}=(686.99\pm 4.21)[687.19\pm 3.48]\times 10^{-10}$ based…

High Energy Physics - Phenomenology · Physics 2016-06-22 Fred Jegerlehner

We present simple analytic expressions to compute the hadronic vacuum polarization contribution to the muon $g$-2 in the space-like region up to next-to-next-to-leading order. These results can be employed in lattice QCD calculations of…

High Energy Physics - Phenomenology · Physics 2022-09-28 Elisa Balzani , Stefano Laporta , Massimo Passera

The pion form factor plays a crucial role in the determination of the contribution of the hadronic vacuum polarisation to the muon anomalous magnetic moment. In order to measure this quantity, energy-scan experiments rely on Monte Carlo…

High Energy Physics - Phenomenology · Physics 2025-12-23 Francesco P. Ucci

The largest error in the theoretical determination of the muon anomalous magnetic moment is due to the low-energy hadronic vacuum polarization, which cannot be calculated by perturbative QCD and requires nonperturbative techniques.…

High Energy Physics - Phenomenology · Physics 2019-07-04 B. Ananthanarayan , I. Caprini , D. Das

We revisit the isospin-breaking corrections relating the $e^+e^-$ hadronic cross-section and the tau decay spectral function, focusing on the di-pion channel, that gives the dominant contribution to the hadronic vacuum polarization piece of…

High Energy Physics - Phenomenology · Physics 2025-04-15 Gabriel López Castro , Alejandro Miranda , Pablo Roig

We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the Z-boson mass. We include newest e+e- to hadrons cross-section data (among others)…

High Energy Physics - Phenomenology · Physics 2019-05-10 Michel Davier , Andreas Hoecker , Bogdan Malaescu , Zhiqing Zhang

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD…

Atomic Physics · Physics 2017-02-01 Henry Lamm

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…

High Energy Physics - Phenomenology · Physics 2024-08-29 Siyuan Li , T. G. Steele , J. Ho , R. Raza , K. Williams , R. T. Kleiv

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…

High Energy Physics - Phenomenology · Physics 2024-08-01 Siyuan Li , T. G. Steele , J. Ho , R. Raza , K. Williams , R. T. Kleiv

We extend recently developed methods used for determining the electromagnetic charge radius and $a_\mu^{\pi\pi}$ to obtain a determination of the electromagnetic form factor of the pion, $F_\pi^V(t)$, in several significant kinematical…

High Energy Physics - Phenomenology · Physics 2019-01-02 B. Ananthanarayan , Irinel Caprini , Diganta Das

The two-pion contribution to hadronic vacuum polarization can be extracted from tau decay data when isospin violating and radiative corrections are taken into account. When the dominant corrections are applied to the photon-inclusive decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Ecker

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…

High Energy Physics - Phenomenology · Physics 2026-03-24 Jin-Yang Shen , Wen-Yuan Peng , Ling-Yun Dai , Zhen Fang

We study the finite-volume correction on the hadronic vacuum polarization contribution to the muon g-2 ($a_\mu^{\rm hvp}$) in lattice QCD at (near) physical pion mass using two different volumes: $(5.4~{\rm fm})^4$ and $(8.1~{\rm fm})^4$.…

High Energy Physics - Lattice · Physics 2018-10-04 Taku Izubuchi , Yoshinobu Kuramashi , Christoph Lehner , Eigo Shintani