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We discuss the hadronic contributions to the muon anomalous magnetic moment. They are dominated by light quark contributions which are constrained by the mechanism of chiral symmetry breaking. Using the leading order result based on $e^+…

High Energy Physics - Phenomenology · Physics 2019-10-29 Stefan Groote , Thomas Mannel , Alexei A. Pivovarov

In order to reach a precision of $0.2\%$ on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, $(g-2)_\mu$, such that the full Standard-Model prediction matches in precision the direct…

High Energy Physics - Lattice · Physics 2025-04-14 Julian Parrino , Volodymyr Biloshytskyi , En-Hung Chao , Harvey B. Meyer , Vladimir Pascalutsa

We show that the QCD factorization approach for $B$-meson decays to charmless hadronic two-body final states can be extended to include electromagnetic corrections. The presence of electrically charged final-state particles complicates the…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

We use Pade Approximants to obtain improved predictions for the anomalous magnetic moments of the electron and the muon. These are needed because of the very precise experimental values presently obtained for the electron, and soon to be…

High Energy Physics - Phenomenology · Physics 2008-02-03 John Ellis , Marek Karliner , Mark A. Samuel , Eric Steinfelds

Using the infinite-volume photon propagator, we developed a method which allows us to calculate electromagnetic corrections to stable hadron masses with only exponentially suppressed finite-volume effects. The key idea is that the infinite…

High Energy Physics - Lattice · Physics 2019-12-04 Xu Feng , Luchang Jin

We determine the contribution to the anomalous magnetic moment of the muon from the $\alpha^2_{\mathrm{QED}}$ hadronic vacuum polarization diagram using full lattice QCD and including $u/d$ quarks with physical masses for the first time. We…

High Energy Physics - Lattice · Physics 2017-08-30 Bipasha Chakraborty , C. T. H. Davies , P. G. de Oliviera , J. Koponen , G. P. Lepage , R. van de Water

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 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

QCD one-loop corrections to the full gauge invariant set of electroweak diagrams describing the hadronic process $e^+ e^- \to u~\bar d~s~\bar c$ are computed. Four-jet shape variables for $WW$ events are studied at next-to-leading order and…

High Energy Physics - Phenomenology · Physics 2011-02-01 E. Maina , R. Pittau , M. Pizzio

Systems with the quantum numbers of up to twelve charged and neutral pseudoscalar mesons, as well as one-, two-, and three-nucleon systems, are studied using dynamical lattice quantum chromodynamics and quantum electrodynamics (QCD+QED)…

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,…

Hadronic light-by-light scattering is one of the virtual processes that causes the gyromagnetic factor $g$ of the muon to deviate from the value of two predicted by Dirac's theory. This process makes one of the largest contributions to the…

High Energy Physics - Lattice · Physics 2023-05-02 Nils Asmussen , En-Hung Chao , Antoine Gérardin , Jeremy R. Green , Renwick J. Hudspith , Harvey B. Meyer , Andreas Nyffeler

Novel theoretical and computational strategies have opened the possibility of exploring thermal QCD at the non-perturbative level at unprecedented temperatures, reaching from the GeV scale up to the electroweak scale. A number of observable…

High Energy Physics - Lattice · Physics 2026-03-20 Marco Cè , Leonardo Giusti , Michele Pepe , Pietro Rescigno

We derive short-distance constraints for the hadronic light-by-light contribution (HLbL) to the anomalous magnetic moment of the muon in the kinematic region where the three virtual momenta are all large. We include the external soft photon…

High Energy Physics - Phenomenology · Physics 2019-10-09 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez

Perturbative QCD corrections to hadronic $\tau$ decays and $e^+e^-$ annihilation into hadrons below charm are obtained from the Adler function, which at present is known in the chiral limit to five-loop accuracy. Extractions of the strong…

High Energy Physics - Phenomenology · Physics 2018-08-29 Diogo Boito , Pere Masjuan , Fabio Oliani

We report calculations of hadronic light-by-light scattering amplitudes via lattice QCD evaluation of Euclidean four-point functions of vector currents. These initial results include only the fully quark-connected contribution. Particular…

High Energy Physics - Lattice · Physics 2015-10-29 Jeremy Green , Nils Asmussen , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Andreas Nyffeler , Vladimir Pascalutsa

With the recent interest in the measured and standard model values of the muon anomalous magnetic moment, a_mu, some confusion has arisen concerning our knowledge of the hadronic contribution to a_mu. In the dispersion integral approach to…

High Energy Physics - Phenomenology · Physics 2007-05-23 William J. Marciano , B. Lee Roberts

We construct several classes of hadronic matrix elements and relate them to the low-energy constants in Chiral Perturbation Theory that describe the electromagnetic effects in the semileptonic beta decay of the pion and the kaon. We propose…

High Energy Physics - Lattice · Physics 2020-10-29 Chien-Yeah Seng , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Ulf-G. Meißner

Electromagnetic effects in the leptonic decay rates $\pi^+ \to \mu^+ \nu$ and $K^+ \to \mu^+ \nu$ are evaluated for the first time on the lattice. Following a method recently proposed in Ref. [1] the emission of virtual photons at leading…

High Energy Physics - Lattice · Physics 2016-11-01 V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo , C. Tarantino

We are doubtlessly familiar with some edition of Jackson's tome on electrodynamics, and Schwinger's calculation of the anomalous magnetic moment of the electron in QED. From the perspective of strong interactions, however, electromagnetic…

High Energy Physics - Lattice · Physics 2011-11-03 B. C. Tiburzi