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We review the current status of the theory predictions for elastic $\mu$-$e$ scattering, describing the recent activities and future plans of the theory initiative related to the proposed MUonE experiment.

The electron and muon anomalous magnetic moments (AMM) are measured in experiments and studied in the Standard Model (SM) with the highest precision accessible in particle physics. The comparison of the measured quantity with the SM…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. E. Dorokhov , A. E. Radzhabov , A. S. Zhevlakov

Hadronic light-by-light scattering in the anomalous magnetic moment of the muon $a_\mu$ is one of two hadronic effects limiting the precision of the Standard Model prediction for this precision observable, and hence the new-physics…

High Energy Physics - Lattice · Physics 2018-11-21 Nils Asmussen , Antoine Gérardin , Andreas Nyffeler , Harvey B. Meyer

We propose a new experiment to measure the running of the fine-structure constant in the space-like region by scattering high-energy muons on atomic electrons of a low-Z target through the process $\mu e \to \mu e$. The differential cross…

We report about recent results obtained for the muon anomalous magnetic moment. Three-loop kernel functions have been computed to obtain the next-to-next-to-leading-order hadronic vacuum polarization contributions. The numerical result,…

High Energy Physics - Phenomenology · Physics 2014-07-02 Alexander Kurz , Tao Liu , Peter Marquard , Matthias Steinhauser

We present a new study of polarized elastic muon-electron scattering. The Born cross-section is calculated for arbitrary polarization of muon and electron. The complete photonic O(alpha) radiative corrections are determined for the case of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Bardin , L. Kalinovskaya

The MUSE experiment at the Paul Scherrer Institute is measuring elastic lepton-proton scattering cross sections in a four-momentum transfer range from $Q^2$ of approximately 0.002 to 0.08 GeV$^2$ using positively and negatively charged…

We present a new, completely revised calculation of the muon anomalous magnetic moment, $a_\mu=(g_{\mu}-2)/2$, comparing it with the more recent experimental determination of this quantity; this furnishes an important test of theories of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. F. de Troconiz , F. J. Yndurain

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

I give an overview of the different contributions to the electron and muon anomalous magnetic moments in the Standard Model. Special emphasis is given to recent QED results as well as to the hadronic light-by-light scattering contribution…

High Energy Physics - Phenomenology · Physics 2015-06-11 Eduardo de Rafael

We present results for the leading order QCD correction to the anomalous magnetic moment of the muon including the first two generations of quarks as dynamical degrees of freedom. Several light quark masses are examined in order to yield a…

High Energy Physics - Lattice · Physics 2013-11-18 Florian Burger , Xu Feng , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

The current status of the muon anomalous magnetic moment problem is briefly presented. The corrections to muon anomaly coming from the effects of hadronic vacuum polarization, Z*\gamma\gamma* effective vertex and light-by-light scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Dorokhov

We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $\alpha$ and is broken down into pure QED,…

High Energy Physics - Phenomenology · Physics 2020-11-16 T. Aoyama , N. Asmussen , M. Benayoun , J. Bijnens , T. Blum , M. Bruno , I. Caprini , C. M. Carloni Calame , M. Cè , G. Colangelo , F. Curciarello , H. Czyż , I. Danilkin , M. Davier , C. T. H. Davies , M. Della Morte , S. I. Eidelman , A. X. El-Khadra , A. Gérardin , D. Giusti , M. Golterman , Steven Gottlieb , V. Gülpers , F. Hagelstein , M. Hayakawa , G. Herdoíza , D. W. Hertzog , A. Hoecker , M. Hoferichter , B. -L. Hoid , R. J. Hudspith , F. Ignatov , T. Izubuchi , F. Jegerlehner , L. Jin , A. Keshavarzi , T. Kinoshita , B. Kubis , A. Kupich , A. Kupść , L. Laub , C. Lehner , L. Lellouch , I. Logashenko , B. Malaescu , K. Maltman , M. K. Marinković , P. Masjuan , A. S. Meyer , H. B. Meyer , T. Mibe , K. Miura , S. E. Müller , M. Nio , D. Nomura , A. Nyffeler , V. Pascalutsa , M. Passera , E. Perez del Rio , S. Peris , A. Portelli , M. Procura , C. F. Redmer , B. L. Roberts , P. Sánchez-Puertas , S. Serednyakov , B. Shwartz , S. Simula , D. Stöckinger , H. Stöckinger-Kim , P. Stoffer , T. Teubner , R. Van de Water , M. Vanderhaeghen , G. Venanzoni , G. von Hippel , H. Wittig , Z. Zhang , M. N. Achasov , A. Bashir , N. Cardoso , B. Chakraborty , E. -H. Chao , J. Charles , A. Crivellin , O. Deineka , A. Denig , C. DeTar , C. A. Dominguez , A. E. Dorokhov , V. P. Druzhinin , G. Eichmann , M. Fael , C. S. Fischer , E. Gámiz , Z. Gelzer , J. R. Green , S. Guellati-Khelifa , D. Hatton , N. Hermansson-Truedsson , S. Holz , B. Hörz , M. Knecht , J. Koponen , A. S. Kronfeld , J. Laiho , S. Leupold , P. B. Mackenzie , W. J. Marciano , C. McNeile , D. Mohler , J. Monnard , E. T. Neil , A. V. Nesterenko , K. Ottnad , V. Pauk , A. E. Radzhabov , E. de Rafael , K. Raya , A. Risch , A. Rodríguez-Sánchez , P. Roig , T. San José , E. P. Solodov , R. Sugar , K. Yu. Todyshev , A. Vainshtein , A. Vaquero Avilés-Casco , E. Weil , J. Wilhelm , R. Williams , A. S. Zhevlakov

High energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as at rest. For precision experiments, however, it is important to be able to estimate the size of,…

High Energy Physics - Phenomenology · Physics 2024-09-24 Ryan Plestid , Mark B. Wise

Muon electron scattering experiments such as the proposed MUonE experiment, offer an opportunity for an improved measurement of the Leading Order hadronic running of $\alpha$, denoted $\Delta \alpha_{\rm{had}}$. Such a measurement could be…

High Energy Physics - Phenomenology · Physics 2019-09-04 Ulrich Schubert , Ciaran Williams

Higher-order hadronic contributions to the anomalous magnetic moment of the electron, muon, and $\tau$ lepton are considered in detail. As a main result we find a reduction by $-11 \times 10^{-11}$ for the g-2 of the muon as compared to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Bernd Krause

We present a calculation of the full set of next-to-next-to-leading-order QED corrections to unpolarised M{\o}ller scattering. This encompasses photonic, leptonic, and non-perturbative hadronic corrections and includes electron mass effects…

High Energy Physics - Phenomenology · Physics 2022-02-28 Pulak Banerjee , Tim Engel , Nicolas Schalch , Adrian Signer , Yannick Ulrich

MUonE is a proposed experiment designed to measure the hadronic vacuum polarization contribution to muon $g-2$ through elastic $\mu-e$ scattering. As such it employs an extremely high-resolution tracking apparatus. We point out that this…

High Energy Physics - Phenomenology · Physics 2023-05-17 Iftah Galon , David Shih , Isaac R. Wang

The interpretation of high-precision lepton-nucleon scattering experiments requires the knowledge of higher-order radiative corrections. We present a calculation of the cross section for unpolarized lepton-proton scattering including…

High Energy Physics - Phenomenology · Physics 2019-05-22 R. -D. Bucoveanu , H. Spiesberger

We review some of the issues that arise in attempts to compute the hadronic corrections to the muon anomalous magnetic moment using Lattice QCD. We concentrate on the dominant contribution, which requires an accurate evaluation of the…

High Energy Physics - Lattice · Physics 2015-06-18 Christopher Aubin , Thomas Blum , Maarten Golterman , Kim Maltman , Santiago Peris