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A highly physical model of the subtracted $I=1$ vector polarization, obtained using a dispersive representation with precise hadronic $\tau$ decay data as input, is used to investigate systematic issues in the lattice evaluation of the…

High Energy Physics - Lattice · Physics 2014-10-28 Maarten Golterman , Kim Maltman , Santiago Peris

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 present a lattice calculation of the leading hadronic contribution to the anomalous magnetic moment of the muon. This work is based on a subset of the CLS ensembles with $N_f = 2+1$ dynamical quarks and a quenched charm quark. Noise…

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

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

High Energy Physics - Lattice · Physics 2012-10-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

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

We compute the leading hadronic contribution to the anomalous magnetic moment of the muon a_mu^HLO using two dynamical flavours of non-perturbatively O(a) improved Wilson fermions. By applying partially twisted boundary conditions we are…

High Energy Physics - Lattice · Physics 2011-11-10 Michele Della Morte , Benjamin Jäger , Andreas Jüttner , Hartmut Wittig

We describe a new technique (presented in arXiv:1403.1778) to determine the contribution to the anomalous magnetic moment (g-2) of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'{e}…

We review Standard-Model evaluations of hadronic contributions to the muon anomalous magnetic moment $g-2$. Most space is devoted to the hadronic vacuum polarization contribution, in view of the discrepancy between the data-based dispersive…

High Energy Physics - Phenomenology · Physics 2022-08-23 Maarten Golterman

The leading-order hadronic contribution to the muon anomalous magentic moment, $a_\mu^{\rm LO,HVP}$, can be expressed as an integral over Euclidean $Q^2$ of the vacuum polarization function. We point out that a simple trapezoid-rule…

High Energy Physics - Lattice · Physics 2014-10-31 Maarten Golterman , Kim Maltman , Santiago Peris

We evaluate the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon with two light flavors in minimal hard-wall and soft-wall holographic QCD models, as well as in simple generalizations…

High Energy Physics - Phenomenology · Physics 2022-06-08 Josef Leutgeb , Anton Rebhan , Michael Stadlbauer

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

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 present a lattice determination of the disconnected contributions to the leading-order hadronic vacuum polarization (HVP) to the muon anomalous magnetic moment in the so-called short and intermediate time-distance windows. We employ…

We report our (HPQCD) progress on the calculation of the Hadronic Vacuum Polarisation contribution to the anomalous magnetic moment of muon. In this article we discuss the calculations for the light (up/down) quark connected contribution…

High Energy Physics - Lattice · Physics 2015-11-19 Bipasha Chakraborty , Christine Davies , Pedro Gonçalves de Oliveira , Jonna Koponen , G. Peter Lepage

We calculate the leading order hadronic contribution to the muon anomalous magnetic moment using twisted mass lattice QCD. The pion masses range from 330 MeV to 650 MeV. We use two lattice spacings, a=0.079 fm and 0.063 fm, to study lattice…

High Energy Physics - Lattice · Physics 2011-07-06 Dru B. Renner , Xu Feng , Karl Jansen , Marcus Petschlies

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 comparison of the theoretical and experimental determinations of the anomalous magnetic moment of the muon $(g-2)_\mu$ constitutes one of the strongest tests of the Standard Model at low energies. In this article, we compute the leading…

I present a preliminary calculation of the hadronic vacuum polarization for 2+1 flavors of improved Kogut-Susskind quarks by utilizing a set of gauge configurations recently generated by the MILC collaboration. The polarization function…

High Energy Physics - Lattice · Physics 2009-11-10 T. Blum

The hadronic vacuum polarization contribution to the anomalous magnetic moment of a lepton is considered as a function of the lepton mass. We show how the analyticity properties of this function allow for its full reconstruction when it is…

High Energy Physics - Phenomenology · Physics 2024-06-04 David Greynat , Eduardo de Rafael