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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…

High Energy Physics - Phenomenology · Physics 2022-01-07 Gilberto Colangelo , Martin Hoferichter , Bastian Kubis , Malwin Niehus , Jacobo Ruiz de Elvira

Isospin-breaking (IB) effects in the two-pion contribution to hadronic vacuum polarization (HVP) can be resonantly enhanced, if related to the interference of the $\rho(770)$ and $\omega(782)$ resonances. This particular IB contribution to…

High Energy Physics - Phenomenology · Physics 2022-10-07 Gilberto Colangelo , Martin Hoferichter , Bastian Kubis , Peter Stoffer

Isospin-breaking (IB) effects are required for an evaluation of hadronic vacuum polarization at subpercent precision. While the dominant contributions arise from the $e^+e^-\to\pi^+\pi^-$ channel, also IB in the subleading channels can…

High Energy Physics - Phenomenology · Physics 2023-08-31 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis , Dominic Schuh

In this contribution we present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking (IB) corrections to the quark-connected hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment…

High Energy Physics - Lattice · Physics 2019-09-05 Davide Giusti , Vittorio Lubicz , Guido Martinelli , Francesco Sanfilippo , Silvano Simula

A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a…

High Energy Physics - Lattice · Physics 2018-12-27 Vera Gülpers , Andreas Jüttner , Christoph Lehner , Antonin Portelli

The Standard Model prediction of the muon $g-2$ increasingly depends on lattice QCD computations of the hadronic vacuum polarization (HVP), where the isospin-breaking (IB) effects remain a significant source of uncertainty. To complement…

High Energy Physics - Phenomenology · Physics 2026-05-07 Volodymyr Biloshytskyi , Dominik Erb , Harvey B. Meyer , Julian Parrino , Vladimir Pascalutsa

Puzzles in the determination of the hadronic-vacuum-polarization contribution currently impede a conclusive interpretation of the precision measurement of the anomalous magnetic moment of the muon at the Fermilab experiment. One such puzzle…

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…

High Energy Physics - Phenomenology · Physics 2019-09-04 Martin Hoferichter , Bai-Long Hoid , Bastian Kubis

In the recent Muon g-2 Theory Initiative white paper update, the hadronic vacuum polarization (HVP) contribution -- which dominates the theoretical uncertainty -- is evaluated as an average of different lattice QCD calculations. Since…

High Energy Physics - Lattice · Physics 2026-03-02 Mattia Bruno , Vera Gülpers , Nils Hermansson-Truedsson , Christoph Lehner , Julian Parrino , J. Tobias Tsang

One of the systematic errors in some of the current lattice computations of the HVP contribution to the muon anomalous magnetic moment $g-2$ is that associated with the extrapolation to the physical pion mass. We investigate this…

High Energy Physics - Lattice · Physics 2018-04-18 Maarten Golterman , Kim Maltman , Santiago Peris

We present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon. We employ the gauge…

High Energy Physics - Lattice · Physics 2019-06-12 D. Giusti , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

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…

High Energy Physics - Phenomenology · Physics 2026-05-13 Noah Allen , Diogo Boito , Maarten Golterman , Kim Maltman , Lucas M. Mansur , Santiago Peris

Hadronic $\tau$ decays present an opportunity to determine the isovector part of the hadronic-vacuum-polarization contribution to the anomalous magnetic moment of the muon in a way complementary to $e^+e^-\to\text{hadrons}$ cross sections.…

High Energy Physics - Phenomenology · Physics 2026-02-18 Gilberto Colangelo , Martina Cottini , Martin Hoferichter , Simon Holz

At low energies hadronic vacuum polarization (HVP) is strongly dominated by two-pion intermediate states, which are responsible for about $70\%$ of the HVP contribution to the anomalous magnetic moment of the muon, $a_\mu^\text{HVP}$.…

High Energy Physics - Phenomenology · Physics 2021-01-20 Gilberto Colangelo , Martin Hoferichter , Peter Stoffer

We present our calculation of the isospin-violating part of the hadronic vacuum polarisation (HVP) contribution to muon $(g-2)$ in lattice QCD at the $SU(3)_{\mathrm{f}}$ symmetric point. The computation of the contributing fully connected…

High Energy Physics - Lattice · Physics 2025-01-08 Dominik Erb , Antoine Gerardin , Harvey B. Meyer , Julian Parrino , Vladimir Pascalutsa , Volodymyr Biloshytskyi

In this work we focus on the evaluation of the leading-order hadronic vacuum polarization contribution from the $\pi\pi$ channel to the muon anomalous magnetic moment $a_\mu$ by using the experimental $\tau\to\pi\pi\nu_\tau$ data. The…

High Energy Physics - Phenomenology · Physics 2025-10-07 Zhi-Xin Li , Ao Li , Jin Hao , Chun-Gui Duan , Zhi-Hui Guo

We present a preliminary lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the Hadronic Vacuum Polarization (HVP) contribution of the light quarks to the anomalous magnetic moment of the…

High Energy Physics - Lattice · Physics 2018-10-16 Davide Giusti , Vittorio Lubicz , Guido Martinelli , Francesco Sanfilippo , Silvano Simula , Cecilia Tarantino

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…

High Energy Physics - Lattice · Physics 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

The Hadronic Vacuum Polarization (HVP) is a dominant contribution to the theoretical uncertainty of the muon anomalous magnetic moment. The uncertainty in a lattice QCD calculation of the connected light-quark contribution to the HVP is…

High Energy Physics - Lattice · Physics 2019-10-28 Mattia Bruno , Taku Izubuchi , Christoph Lehner , Aaron S. Meyer

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,…

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