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Related papers: Pade approximants and g-2 for the muon

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The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted integral over euclidean momentum of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since the…

High Energy Physics - Lattice · Physics 2013-05-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

We review some of the issues that arise in attempts to compute the hadronic corrections to the muon anomalous magnetic moment using Lattice QCD. We concentrate on the dominant contribution, which requires an accurate evaluation of the…

High Energy Physics - Lattice · Physics 2015-06-18 Christopher Aubin , Thomas Blum , Maarten Golterman , Kim Maltman , Santiago Peris

We measure the hadronic contribution to the vacuum polarisation tensor, and use it to estimate the hadronic contribution to (g-2)_mu, the muon anomalous magnetic moment.

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

We give a short description of the present situation of lattice QCD simulations. We then focus on the computation of the anomalous magnetic moment of the muon using lattice techniques. We demonstrate that by employing improved observables…

High Energy Physics - Lattice · Physics 2015-06-03 X. Feng , K. Jansen , M. Petschlies , D. Renner

After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the…

High Energy Physics - Lattice · Physics 2013-01-15 T. Blum , M. Hayakawa , T. Izubuchi

I review the status of lattice QCD calculations of the hadronic contributions to the muon's anomalous magnetic moment, focussing on the hadronic vacuum polarisation contribution which dominates the uncertainty of the Standard Model…

High Energy Physics - Phenomenology · Physics 2023-06-21 Hartmut Wittig

We present and test a new method to compute the hadronic vacuum polarization function in lattice simulations. This can then be used, e.g., to determine the leading hadronic contribution to the anomalous magnetic moment of the muon. The…

High Energy Physics - Lattice · Physics 2015-09-30 Gunnar Bali , Gergely Endrodi

A new QCD sum rule determination of the leading order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm hvp}$, is proposed. This approach combines data on $e^{+}e^{-}$ annihilation into…

High Energy Physics - Phenomenology · Physics 2017-10-25 C. A. Dominguez , H. Horch , B. Jäger , N. F. Nasrallah , K. Schilcher , H. Spiesberger , H. Wittig

The leading-order hadronic contribution to the anomalous magnetic moment of the muon is given by a weighted integral over the subtracted hadronic vacuum polarization. This integral is dominated by euclidean momenta of order the muon mass…

High Energy Physics - Lattice · Physics 2015-06-17 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

The leading-order hadronic contribution to the muon anomalous magnetic moment is given by a weighted integral over the subtracted hadronic vacuum polarization. This integral is dominated by euclidean momenta of order the muon mass, i.e.,…

High Energy Physics - Lattice · Physics 2013-10-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

We computed the hadronic vacuum-polarization contributions to the muon anomalous magnetic moment $a_{\mu}(hadr.)$ by using the QCD model with infinite number of vector mesons [1,2]. The result is $a_{\mu}(hadr.) = 663(23) \times 10^{-10}$.…

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

We present a quenched lattice calculation of the lowest order (alpha^2) hadronic contribution to the anomalous magnetic moment of the muon which arises from the hadronic vacuum polarization. A general method is presented for computing…

High Energy Physics - Lattice · Physics 2009-11-07 T. Blum

The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously difficult one to…

High Energy Physics - Lattice · Physics 2016-05-04 Bipasha Chakraborty , C. T. H. Davies , J. Koponen , G. P. Lepage , M. J. Peardon , S. M. Ryan

We introduce a new method for calculating the ${\rm O}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ${ab-initio}$ lattice QCD. We first derive expressions suitable for computing the…

High Energy Physics - Lattice · Physics 2018-11-14 Bipasha Chakraborty , Christine T. H. Davies , Jonna Koponen , G. Peter Lepage , Ruth S. Van de Water

We present the first lattice QCD calculation of the next-to-leading order hadronic vacuum polarization contribution to the muon anomalous magnetic moment with sub-percent precision. We employ the time-momentum representation for the…

High Energy Physics - Lattice · Physics 2026-04-13 Arnau Beltran , Alessandro Conigli , Simon Kuberski , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

We describe a lattice approach to calculating the leading-order hadronic contribution to the anomalous magnetic moment of the muon. We employ lattice momentum derivatives, in both the spatial and temporal directions, to determine the…

High Energy Physics - Lattice · Physics 2015-12-02 Eric B. Gregory , Craig McNeile

We present a Lorentz-covariant, Euclidean coordinate-space expression for the hadronic vacuum polarisation, the Adler function and the leading hadronic contribution to the anomalous magnetic moment of the muon. The representation offers a…

High Energy Physics - Lattice · Physics 2017-10-25 Harvey B. Meyer

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 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

We present a new lattice QCD calculation of the leading order hadronic vacuum polarization (LO-HVP) contribution to the muon anomalous magnetic moment $a_\mu$. We reduce uncertainties compared to our earlier computation arXiv:2002.12347 by…

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