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We present a calculation of the hadronic vacuum polarization (HVP) tensor within the framework of Dyson--Schwinger equations. To this end we use a well-established phenomenological model for the quark-gluon interaction with parameters fixed…

High Energy Physics - Phenomenology · Physics 2011-09-28 Tobias Goecke , Christian S. Fischer , Richard Williams

The hadronic contribution to the muon anomalous magnetic moment $a_\mu=(g_\mu-2)/2$ has to be determined at the per-mille level for the Standard Model prediction to match the expected final uncertainty from the ongoing E989 experiment. This…

High Energy Physics - Lattice · Physics 2021-03-17 Mattia Dalla Brida , Leonardo Giusti , Tim Harris , Michele Pepe

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

The hadronic contribution to the muon anomalous magnetic moment $a_\mu=(g_\mu-2)/2$ has to be determined at the per-mille level for the Standard Model prediction to match the expected final uncertainty of the ongoing E989 experiment. That…

High Energy Physics - Lattice · Physics 2021-01-13 Leonardo Giusti , Mattia Dalla Brida , Tim Harris , Michele Pepe

We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, $a_\ell$. We work in the electroquenched approximation and use dynamical…

High Energy Physics - Lattice · Physics 2018-04-18 Andrea Bussone , Michele Della Morte , Tadeusz Janowski

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 $u$,…

We computed for the first time the $\tau$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon g-2. We showed that $\tau$-based results agree with the available lattice window evaluations and with the…

High Energy Physics - Phenomenology · Physics 2025-02-11 Pere Masjuan , Alejandro Miranda , Pablo Roig

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q^2 of about 2 GeV^2 the results are very close to the predictions of perturbative QCD. Below this scale we see signs…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the spacelike and timelike regions. We provide two independent demonstrations to show that this…

High Energy Physics - Lattice · Physics 2013-09-04 Xu Feng , Shoji Hashimoto , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

The electromagnetic coupling $\alpha$ and the electroweak mixing angle $\theta_{\mathrm{W}}$ are parameters of the Standard Model (SM) that enter precision SM tests and play a fundamental r\^ole in beyond SM physics searches. Their values…

The dispersive approach to quantum chromodynamics is applied to the study of the hadronic vacuum polarization function and associated quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the…

High Energy Physics - Phenomenology · Physics 2015-07-14 A. V. Nesterenko

We propose and apply a new approach to determining $|V_{us}|$ using dispersion relations with weight functions having poles at Euclidean (space-like) momentum which relate strange hadronic $\tau$ decay distributions to hadronic vacuum…

The shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross sections…

Quantum Physics · Physics 2022-10-19 Sören Breidenbach , Eugen Dizer , Halil Cakir , Zoltán Harman

The equivalent representations for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment $a^{\text{HVP}}_{\mu}$ in the presence of the quark flavour thresholds are studied. Specifically, the explicit relations…

High Energy Physics - Phenomenology · Physics 2023-12-11 A. V. Nesterenko

We report on our update to [1] on the hadronic running of electroweak couplings from $O(a)$-improved Wilson fermions with $N_f=2+1$ flavours. The inclusion of additional ensembles at very fine lattice spacings together with a number of…

High Energy Physics - Lattice · Physics 2025-02-17 Alessandro Conigli , Georg von Hippel , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

We compute for the first time the $\tau$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon $g-2$. We show that $\tau$-based results agree with the available lattice window evaluations and with the…

High Energy Physics - Phenomenology · Physics 2024-02-07 Pere Masjuan , Alejandro Miranda , Pablo Roig

We present a lattice-QCD calculation of the light-quark connected contribution to window observables associated with the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon,…

I present a method for evaluating the hadronic vacuum polarization contribution below 1 GeV to a_\mu which relies on analyticity, unitarity and chiral symmetry, as well as on data. The main advantage is that in the region just above…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gilberto Colangelo

After discussing the relevance of a first principles theory-prediction of the hadronic vacuum polarisation for Standard Model tests, the theoretical challenges for its computation in lattice QCD are reviewed. New ideas that will potentially…

High Energy Physics - Lattice · Physics 2015-05-20 Michele Della Morte , Benjamin Jager , Andreas Juttner , Hartmut Wittig

The hadronic vacuum-polarization contribution to the muon anomalous magnetic moment a_{mu}(hadr) and to the value of the eleectromagnetic coupling constant at q^2 = M^2_z are determined more precisely in connection with a new more exact…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. V. Geshkenbein
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