Abstract
Few advantages of the novel approach of a numerical evaluation of the muon g – 2 anomaly in comparison with the classical approach are discussed, which lead to a deviation from the world averaged experimental value by \(1.6{\kern 1pt} \sigma \).
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REFERENCES
I. Aitchison and A. Hey, Gauge Theories in Particle Physics (IOP Publ., Bristol, 2003).
B. Abi, T. Albahri, S. Al-Kilani, D. Allspach, L. Alonzi, A. Anastasi, A. Anisenkov, F. Azfar, K. Badgley, S. Baeßler, et al., “Measurement of the positive muon anomalous magnetic moment to 0.46 ppm,” Phys. Rev. Lett. 126, 141801 (2021).
T. Aoyama et al., “The anomalous magnetic moment of the muon in the Standard Model,” Phys. Rep. 887, 1–166 (2020).
A. Aboubrahim, M. Klasen, and P. Nath, “What Fermilab g–2 experiment tells us about discovering SUSY at HL-LHC and HE-LHC,” Phys. Rev. D 104, 035039 (2021); arXiv:2104.03839.
A. Keshavarzi, D. Nomura, and T. Teubner, “g – 2 of charged leptons, α(\(M_{Z}^{2}\)), and the hyperfine splitting of muonium,” Phys. Rev. D 101, 014029 (2020).
T. Blum, N. Christ, M. Hayakawa, T. Izubuchi, L. Jin, C. Jung, and C. Lehner, “Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD,” Phys. Rev. Lett. 124,132002 (2020).
T. Aoyama, M. Hayakawa, T. Kinoshita, and M. Nio, “Complete tenth-order QED contribution to the muon g – 2,” Phys. Rev. Lett. 109, 111808 (2012).
T. Kinoshita, B. Nizic, and Y. Okamoto, “Eighth-order QED contribution to the anomalous magnetic moment of the muon,” Phys. Rev. D 41, 593–610 (1990).
C. Gnendiger, D. Stöckinger, and H. Stöckinger-Kim, “The electroweak contributions to g – 2 after the Higgs-boson mass measurement,” Phys. Rev. D 88, 053005 (2013).
A. Czarnecki, W. J. Marciano, and A. Vainshtein, “Refinements in electroweak contributions to the muon anomalous magnetic moment,” Phys. Rev. D 67, 073006 (2003).
E. A. Kuraev, T. V. Kukhto, and A. Schiller, “Contribution of fermionic loops to the muon anomalous magnetic moment,” Sov. J. Nucl. Phys. 51, 1031–1035 (1990).
C. Bouchiat and L. Michel, “La résonance dans la diffusion méson π – méson π et le moment magnétique anormal du méson μ,” J. Phys. Radium 22, 121 (1961).
L. Durand, “Pionic contributions to the magnetic moment of the muon,” Phys. Rev. 128, 441–448 (1962).
M. Gourdin and E. De Rafael, “Hadronic contributions to the muon g-factor,” Nucl. Phys. B 10, 667–674 (1969).
A. Dubničková, S. Dubnička, and P. Stríženec, “New evaluation of hadronic contributions to the anomalous magnetic moment of charged leptons,” Acta Phys. Slovaca 45, 467 (1995).
S. J. Brodsky and E. de Rafael, “Suggested boson-lepton pair couplings and the anomalous magnetic moment of the muon,” Phys. Rev. 168, 1620–1622 (1968).
S. Eidelman and F. Jegerlehner, “Hadronic contributions to g–2 of the leptons and to the effective fine structure constant α(\(M_{Z}^{2}\)),” Z. Physik C 67, 585–601 (1995).
M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, “Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g – 2 and α(\(M_{Z}^{2}\)) using newest hadronic cross section data,” Eur. Phys. J. C 77, 827 (2017).
F. Jegerlehner and A. Nyffeler, “The muon g – 2,” Phys. Rep. 477, 1–110 (2009).
A. Kurz, T. Liu, P. Marquard, and M. Steinhauser, “Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order,” Phys. Lett. B 734, 144–147 (2014).
J. Prades, E. de Rafael, and A. Vainshtein, in Lepton Dipole Moments, Ed. by B. Lee Roberts and W. J. Marciano (World Scientific, 2003) pp. 303–317.
M. Tanabashi, et al. (Particle Data Group Collab.), “Review of Particle Physics,” Phys. Rev. D 98, 030001 (2018).
C. Carloni Calame, M. Passera, L. Trentadue, and G. Venanzoni, “A new approach to evaluate the leading hadronic corrections to the muon g – 2,” Phys. Lett. B 746, 325–329 (2015).
G. Abbiendi, C. M. C. Calame, U. Marconi, C. Matteuzzi, G. Montagna, O. Nicrosini, M. Passera, F. Piccinini, R. Tenchini, L. Trentadue, and G. Venanzoni, “Measuring the leading hadronic contribution to the muon g – 2 via μe scattering,” Eur. Phys. J. C 77, 139 (2017).
P. Banerjee, C. M. Carloni Calame, M. Chiesa, S. Di Vita, T. Engel, M. Fael, S. Laporta, P. Mastrolia, G. Montagna, O. Nicrosini, G. Ossola, M. Passera, F. Piccinini, A. Primo, J. Ronca, A. Signer, W. J. Torres Bobadilla, L. Trentadue, Y. Ulrich, and G. Venanzoni, “Theory for muon-electron scattering @10 ppm,” Eur. Phys. J. C 80, 591 (2020).
A. B. Arbuzov, D. Haidt, C. Matteuzzi, M. Paganoni, and L. Trentadue, “The running of the electromagnetic coupling α in small angle Bhabha scattering,” Eur. Phys. J. C 34, 267–275 (2004).L
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The authors acknowledge the support of the Slovak Grant Agency for Sciences VEGA, grant no. 2/0105/21.
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Dubničková, A.Z., Dubnička, S., Holka, L. et al. Advantages of a Novel Approach to the Numerical Evaluation of the Muon g – 2 Anomaly. Phys. Part. Nuclei 53, 811–814 (2022). https://doi.org/10.1134/S1063779622040062
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DOI: https://doi.org/10.1134/S1063779622040062