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We study the four most significant high precision observables of QED ---the anomalous electron and muon magnetic moments, the hydrogen Lamb shift and muonium hyperfine splitting--- in the context of SU(2) x U(1) gauge-invariant effective…

High Energy Physics - Phenomenology · Physics 2011-09-13 Rafel Escribano , Eduard Masso

We report progress on calculating the contribution to the anomalous magnetic moment of the muon from the disconnected hadronic diagrams with light and strange quarks and the valence QED contribution to the connected diagrams. The lattice…

The efforts to improve on the precision of the measurement and theoretical prediction of the anomalous magnetic moment of the muon a_mu have turned into a test of our understanding of the hadronic contribution to vacuum polarisation. I…

High Energy Physics - Experiment · Physics 2022-03-02 Denis Bernard

Recently, the exciting new Fermilab (FNAL) Muon g-2 measurement impressively confirmed the final Brookhaven (BNL) result from 2004, and with a result four times more precise, has launched a new serious attack on the Standard Model (SM). On…

High Energy Physics - Phenomenology · Physics 2026-01-14 Fred Jegerlehner

The spectroscopic parameters of the heavy-light hybrid mesons with different spin-parities and different quark contents are investigated in the framework of the QCD sum rule method. The mass and current coupling of these states are…

High Energy Physics - Phenomenology · Physics 2022-12-21 B. Barsbay , K. Azizi , H. Sundu

We describe a new technique (published in Phys. Rev. D89 114501) to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'e approximants…

We present a lattice calculation of the leading order (LO) hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment for the connected light and strange quarks, $a^{\rm W}_{{\rm con}, l/s}$ in the widely used…

High Energy Physics - Lattice · Physics 2023-03-15 Gen Wang , Terrence Draper , Keh-Fei Liu , Yi-Bo Yang

We present results for the QED and strong isospin breaking corrections to the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. QED is included in an electro-quenched setup using two different methods, a stochastic and a…

High Energy Physics - Lattice · Physics 2018-04-18 Peter Boyle , Vera Gülpers , James Harrison , Andreas Jüttner , Christoph Lehner , Antonin Portelli , Christopher Sachrajda

In this paper we study the emergence of steady electric currents in QCD as a response to a non-uniform magnetic background using lattice simulations with 2 + 1 quark flavors at the physical point, as well as leading-order chiral…

High Energy Physics - Lattice · Physics 2024-07-08 B. B. Brandt , G. Endrődi , G. Markó , A. D. M. Valois

An approach is discussed on the determination of the leading order hadronic contribution to the muon anomaly, $a_\mu^{HAD}$, based entirely on theory. This method makes no use of $e^+ e^-$ annihilation data, a likely source of the current…

High Energy Physics - Phenomenology · Physics 2016-11-03 C. A. Dominguez , K. Schilcher , H. Spiesberger

We reevaluate the dispersion integrals of the leading order hadronic contributions to the running of the QED fine structure constant alpha(s) at s=M_Z^2, and to the anomalous magnetic moments of the muon and the electron. Finite-energy QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Davier , A. Hocker

We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are…

High Energy Physics - Lattice · Physics 2018-04-18 M. Della Morte , A. Francis , A. Gérardin , V. Gülpers , G. Herdoiza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

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…

The first part of our analysis uses the wavelet method to compare the Quantum Chromodynamic (QCD) prediction for the ratio of hadronic to muon cross sections in electron-positron collisions, $R$, with experimental data for $R$ over a center…

High Energy Physics - Phenomenology · Physics 2015-09-30 V. K. Henner , C. L. Davis , T. S. Belozerova

A positive muon ($\mu^+$) and an electron ($e^-$) form the the hydrogen-like muonium atom ($M$=$\mu^+ e^-$). Since it consists of two leptonic particles which are according to present knowledge point-like, accurate calculations of its level…

High Energy Physics - Experiment · Physics 2016-08-31 K. Jungmann

The increasing importance of hadronic resonances in our understanding of the Standard Model is underscored by recent advancements in lattice Quantum Chromodynamics (QCD) calculations. We review recent developments, with a particular…

High Energy Physics - Lattice · Physics 2024-01-19 Luka Leskovec

We study the potential impact on the electroweak (EW) fits due to the tensions between the current determinations of the hadronic vacuum polarisation (HVP) contributions to the anomalous magnetic moment of the muon ($a_\mu$), based on…

High Energy Physics - Phenomenology · Physics 2021-02-03 Bogdan Malaescu , Matthias Schott

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 present non-perturbative results for beyond the standard model kaon mixing matrix elements in the isospin symmetric limit ($m_u=m_d$) of QCD, including a complete estimate of all dominant sources of systematic error. Our results are…

High Energy Physics - Lattice · Physics 2024-04-04 Peter A. Boyle , Felix Erben , Jonathan M. Flynn , Nicolas Garron , Julia Kettle , Rajnandini Mukherjee , J. Tobias Tsang

We present a calculation of the leading order hadronic contribution to the anomalous magnetic moment of the muon for a dynamical simulation of 2+1 flavour QCD using domain wall fermions. The electromagnetic 2-point function is evaluated on…

High Energy Physics - Lattice · Physics 2015-03-19 Peter Boyle , Luigi Del Debbio , Eoin Kerrane , James Zanotti