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Related papers: QED 5-loop on the lattice

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Standard Model contributions to the electron, muon, and tau lepton anomalous magnetic moments, a_l=(g_l-2)/2, are reviewed and updated. The fine structure constant is obtained from the electron g_e-2 and used to refine the QED contribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , William J. Marciano

The hadronic leading-order (hlo) contribution to the lepton anomalous magnetic moments $a_l^\mathrm{hlo}$ of the Standard Model leptons still accounts for the dominant source of the uncertainty of the Standard Model estimates. We present…

High Energy Physics - Lattice · Physics 2016-06-22 Florian Burger , Xu Feng , Karl Jansen , Marcus Petschlies , Grit Pientka , Dru B. Renner

The derivation of the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially for highly improved actions such as HISQ. This task is, however, both important and particularly suitable for…

High Energy Physics - Lattice · Physics 2010-12-17 A. Hart , G. M. von Hippel , R. R. Horgan , E. H. Müller

We discuss a mapping of lattice QED with two flavors and a chemical potential to dual variables, which are surfaces for the gauge fields and loops for the fermions. The gauge fields are completely dualized and the corresponding dual…

High Energy Physics - Lattice · Physics 2015-02-10 Michael Kniely , Christof Gattringer

We present a lattice calculation of the electromagnetic (EM) effects on the masses of light pseudoscalar mesons. The simulations employ 2+1 dynamical flavors of asqtad QCD quarks, and quenched photons. Lattice spacings vary from $\approx…

A nonperturbative method for the solution of quantum field theories is described in the context of quantum electrodynamics and applied to the calculation of the electron's anomalous magnetic moment. The method is based on light-front…

High Energy Physics - Phenomenology · Physics 2011-02-01 S. S. Chabysheva

We calculate the squared matrix element for the process e+ e- --> tau+ tau- gamma allowing for anomalous magnetic and electric dipole moments at the tau tau gamma vertex. No interferences are neglected and no approximations of light fermion…

High Energy Physics - Phenomenology · Physics 2010-01-15 S. S. Gau , T. Paul , J. Swain , L. Taylor

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

We calculate, in the continuum limit of quenched lattice QCD, the matrix elements of the heavy-heavy vector current between heavy-light pseudoscalar meson states. We present the form factors for different values of the initial and final…

High Energy Physics - Lattice · Physics 2008-11-26 G. M. de Divitiis , R. Petronzio , N. Tantalo

We present results of a lattice computation of the matrix elements of the vector and axial-vector currents which are relevant for the semi-leptonic decays $D \rightarrow K$ and $D \rightarrow K^*$. The computations are performed in the…

High Energy Physics - Lattice · Physics 2009-10-28 Juan M. Nieves

We present results for lattice QCD in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is obtained by sending both the anisotropy…

High Energy Physics - Lattice · Physics 2015-05-28 Wolfgang Unger , Philippe de Forcrand

We review recent developments in the calculation of QCD loop amplitudes with several external legs, and their application to next-to-leading order jet production cross-sections. When a number of calculational tools are combined together ---…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. Bern , L. Dixon , D. A. Kosower , A. Signer

The comparison of definite numerical values of analytically evaluated asymptotic expressions for order $\alpha^4$ and $\alpha^5$ QED contributions to the muon anomalous magnetic moment with the results of numerical calculations are…

High Energy Physics - Phenomenology · Physics 2016-12-07 A. L. Kataev

We investigate the non-invertible symmetry associated with chiral symmetry in axion quantum electrodynamics (QED) using the modified Villain formulation. In axion QED, it is known that naive magnetic objects such as 't Hooft loops and axion…

High Energy Physics - Lattice · Physics 2024-12-16 Yamato Honda , Soma Onoda , Hiroshi Suzuki

The increase with time of computer resources devoted to simulations of full QCD is spectacular. Yet the reduction of systematic errors is comparatively slow. This is due to the algorithmic complexity of the problem. I review, in elementary…

High Energy Physics - Lattice · Physics 2007-05-23 Philippe de Forcrand

In this paper, we present results of numerical lattice simulations of two-flavor QED in three space-time dimensions. First, we provide evidence that chiral symmetry is spontaneously broken in the chiral and continuum limit. Next we discuss…

High Energy Physics - Lattice · Physics 2009-11-07 J. Alexandre , K. Farakos , S. J. Hands , G. Koutsoumbas , S. E. Morrison

This note is a pedagogical mini review on the muon anomalous magnetic moment ($g-2$), translated and adapted from our article published in Modern Physics 4 (2021) 40-47. The contents include: (i) The magnetic moment of an electric-current…

High Energy Physics - Phenomenology · Physics 2021-10-20 Song Li , Yang Xiao , Jin Min Yang

This paper reports the tenth-order QED contribution to lepton g-2 from diagrams of three gauge-invariant sets VI(d), VI(g), and VI(h), which are obtained by including various fourth-order radiative corrections to the sixth-order g-2…

High Energy Physics - Phenomenology · Physics 2010-12-24 T. Aoyama , M. Hayakawa , T. Kinoshita , M. Nio

We discuss a possibility that the Neutron Electric Dipole Moment (NEDM) can be calculated in lattice QCD simulations in the presence of the CP violating $\theta$ term. In this paper we measure the energy difference between spin-up and…

High Energy Physics - Lattice · Physics 2008-11-26 E. Shintani , S. Aoki , N. Ishizuka , K. Kanaya , Y. Kikukawa , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

We numerically evaluate the two-loop QCD squared matrix element for in $q\bar{q}\to Z$ and $q\bar{q}\to Z\gamma$ with heavy top and bottom quarks circulating in a triangular fermion loop, by simultaneously subtracting infrared, ultraviolet,…

High Energy Physics - Phenomenology · Physics 2026-03-04 Dario Kermanschah , Matilde Vicini