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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 preliminary lattice results for the leading-order hadronic contribution to the muon anomalous magnetic moment, calculated with HEX-smeared clover fermions. In our calculation we include 2+1-flavor ensembles with pions at the…

High Energy Physics - Lattice · Physics 2013-11-26 Eric B. Gregory , Zoltan Fodor , Christian Hoelbling , Stefan Krieg , Laurent Lellouch , Rehan Malak , Craig McNeile , Kalman Szabo

The muon anomalous magnetic moment is one of the most precisely measured quantities in particle physics. Recent high precision measurements (0.54ppm) at Brookhaven reveal a ``discrepancy'' by 3 standard deviations from the electroweak…

High Energy Physics - Phenomenology · Physics 2010-04-06 F. Jegerlehner

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

The 4.2$\sigma$ discrepancy between the standard model prediction for the muon anomalous magnetic moment $a_\mu$ and the experimental result is accompanied by other anomalies. A crucial input for the prediction is the hadronic vacuum…

High Energy Physics - Phenomenology · Physics 2022-07-06 Luc Darmé , Giovanni Grilli di Cortona , Enrico Nardi

We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u- and d-quarks to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}(ud)$, adopting the gauge configurations generated by…

High Energy Physics - Lattice · Physics 2018-12-19 D. Giusti , F. Sanfilippo , S. Simula

We have evaluated the contribution to the anomalous magnetic moment of the electron from six tenth-order Feynman diagrams which contain eighth-order vacuum-polarization function formed by two light-by-light scattering diagrams connected by…

High Energy Physics - Phenomenology · Physics 2009-01-09 T. Aoyama , M. Hayakawa , T. Kinoshita , M. Nio , N. Watanabe

The Standard Model prediction for muon-electron scattering beyond leading order requires the inclusion of QCD contributions which cannot be computed perturbatively. At next-to- and next-to-next-to-leading order, they arise from one- and…

High Energy Physics - Phenomenology · Physics 2019-05-29 Matteo Fael , Massimo Passera

The hadronic corrections to the muon anomalous magnetic moment a_mu, due to the gauge-invariant set of diagrams with dynamical quark loop light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark…

High Energy Physics - Phenomenology · Physics 2015-09-30 A. E. Dorokhov , A. E. Radzhabov , A. S. Zhevlakov

We analyze the proton$\text{-}$box contribution to the hadronic light$\text{-}$by$\text{-}$light part of the muon's anomalous magnetic moment, which is the first reported baryonic contribution to this piece. We follow the…

High Energy Physics - Phenomenology · Physics 2025-05-28 Emilio J. Estrada , Juan Manuel Márquez , Diego Portillo-Sánchez , Pablo Roig

We reevaluate the hadronic contribution to the running of the QED fine structure constant alpha(s) at s = M_Z^2. We use data from e+e- annihilation and tau decays at low energy and at the qq-bar thresholds, where resonances occur. Using…

High Energy Physics - Phenomenology · Physics 2016-02-17 M. Davier , A. Hoecker

The contributions to the $g-2$ of the muon from some eighth-order (four-loop) graphs containing one-loop and two-loop vacuum polarization insertions have been evaluated analytically in QED perturbation theory, expanding the results in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Laporta

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

I review recent estimates of the non-perturbative hadronic vacuum polarization contributions. Since these at present can only be evaluated in terms of experimental data of limited precision, the related uncertainties pose a serious…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Jegerlehner

We review the status of the hadronic light-by-light contribution to the muon anomalous magnetic moment and critically compare recent calculations. We also study in detail which momentum regions the pi^0 exchange main contribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Joaquim Prades

In this contribution recent developments are discussed which lead to a significant reduction of the error for $\alpha(M_Z^2)$ and $(g-2)_\mu$.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Steinhauser

We present our recent semi-analytical evaluation of the pion-pole contribution to hadronic light-by-light scattering, using a description of the pion-photon-photon form factor based on large-N_C and short-distance properties of QCD.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Andreas Nyffeler

We review the present status of the hadronic light-by-light contribution to muon g-2 and critically compare recent calculations.

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Joaquim Prades

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

As several lattice collaborations agree on the result for the window quantity of the hadronic vacuum polarization (HVP) contribution to $(g-2)_\mu$, whilst being in tension with the calculation using the dispersive approach, further effort…

High Energy Physics - Lattice · Physics 2023-12-01 En-Hung Chao , Harvey B. Meyer , Julian Parrino
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