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The QED hadronic vacuum polarization function plays an important role in the determination of precision electroweak observables and of the anomalous magnetic moment of the muon. These contributions have been computed from data, by means of…

High Energy Physics - Phenomenology · Physics 2023-11-14 Nina M. Coyle , Carlos E. M. Wagner

Motivated by recent progress of theory and experiment on the anomalous magnetic moment of the electron, a_e, we update the hadronic contributions to a_e. Using our up-to-date compilation of e^+ e^- \to hadrons data, we find the leading…

High Energy Physics - Phenomenology · Physics 2015-06-11 Daisuke Nomura , Thomas Teubner

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

In muonic bound systems, the dominant radiative correction is due to vacuum polarization. Yet, for the interpretation of precision experiments, self-energy effects are also important. In turn, additional vacuum-polarization loops perturb…

High Energy Physics - Phenomenology · Physics 2024-09-30 B. Ohayon , U. D. Jentschura

Recently, the Budapest-Marseille-Wuppertal collaboration achieved sub-percent precision in the evaluation of the lowest-order hadronic vacuum polarization contribution to the muon $g_\mu-2$ (arXiv:hep-lat/2002.12347v3). At this level of…

We present a method to couple finite-volume QCD to infinite-volume QED by an appropriate twist-averaging procedure. We demonstrate the prescription numerically for the leading-order hadronic contribution to the anomalous magnetic moment of…

High Energy Physics - Lattice · Physics 2015-03-17 Christoph Lehner , Taku Izubuchi

In this work we study finite density effects in spontaneous chiral symmetry breaking as well as chiral phase transition under the influence of a background magnetic field in $ 2+1 $ dimensions. For this purpose, we use an improved…

High Energy Physics - Theory · Physics 2021-03-29 Diego M. Rodrigues , Danning Li , Eduardo Folco Capossoli , Henrique Boschi-Filho

In the present work, we investigate the impact of finite volume on the in-medium properties of kaons ($K^+$, $K^0$) and antikaons ($K^-$, $\bar{K^0}$), and $\phi$ mesons in the isospin asymmetric strange hadronic medium at finite density…

High Energy Physics - Phenomenology · Physics 2024-07-09 Zeeshan Ahmad , Nisha Chahal , Arvind Kumar , Suneel Dutt

An impact of nonperturbatively-treated soft gluon modes on the value of anomalous magnetic moment of muon $a_\mu$ is studied within the mean-field approach to QCD vacuum and hadronization. It is shown that radial excitations of vector…

High Energy Physics - Phenomenology · Physics 2023-04-20 Sergei Nedelko , Aleksei Nikolskii , Vladimir Voronin

The most recent high-precision determination of the hadronic leading order contribution to the muon magnetic dipole moment within the Standard Model of particle physics has revealed a five standard deviation discrepancy with the previous…

High Energy Physics - Phenomenology · Physics 2023-10-06 Noah Bray-Ali

The discrepancy on the muon anomalous magnetic moment values obtained via a direct measurement and via a data-driven theory determination that uses the experimentally measured hadronic cross section, is among the long standing and most…

High Energy Physics - Experiment · Physics 2026-01-21 Zhiqing Zhang

The standard numerical approach to determining matrix elements of local operators and width of resonances uses the finite volume dependence of energy levels and matrix elements. Finite size corrections that decay exponentially in the volume…

High Energy Physics - Theory · Physics 2015-05-30 G. Takacs

We present the most recent lattice results for the lowest-order hadronic contribution to the muon anomalous magnetic moment using 2+1 flavor improved staggered fermions. A precise fit to the low-q^2 region of the vacuum polarization is…

High Energy Physics - Lattice · Physics 2007-05-23 Christopher Aubin , Tom Blum

The ratios among the leading-order (LO) hadronic vacuum polarization (HVP) contributions to the anomalous magnetic moments of electron, muon and tau-lepton, $a_{\ell=e,\mu \tau}^{HVP,LO}$, are computed using lattice QCD+QED simulations. The…

High Energy Physics - Lattice · Physics 2020-09-16 D. Giusti , S. Simula

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

After a short status report on chiral perturbation theory, I review recent progress in determining some of the low-energy couplings by matching the effective theory to QCD. Consequences for K_{l3} decays and for the extraction of the CKM…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. Ecker

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron $g-2$. For the leading order contributions I find $a_\mu^{\mathrm{had}(1)}=(686.99\pm 4.21)[687.19\pm 3.48]\times 10^{-10}$ based…

High Energy Physics - Phenomenology · Physics 2016-06-22 Fred Jegerlehner

We employ a 3+1D anomalous hydrodynamics with initial condition generated by HIJING to simulate the chiral vortical effect and the chiral magnetic effect in heavy-ion collisions. This allows us to calculate the charge-dependent two-particle…

Nuclear Theory · Physics 2017-09-28 Xingyu Guo , Dmitri E. Kharzeev , Xu-Guang Huang , Wei-Tian Deng , Yuji Hirono

A significant discrepancy exists between experiment and calculations of the muon's magnetic moment. We find that standard formulas for the hadronic vacuum polarization term have overlooked pionic states known to exist. Coulomb binding alone…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rainer W. Schiel , John P. Ralston

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