Probing Scalar and Pseudoscalar Solutions to the Anomaly

Fayez Abu-Ajamieh (Department of Physics, UC Davis, Davis, California 95616, USA; LUPM UMR5299, Université de Montpellier, 34095 Montpellier, France; CPPM, Aix-Marseille Université, Marseille, France)

I investigate a class of models with scalar and pseudoscalar solutions to the g2 anomaly for both the muon and the electron over the mass range of perturbativity (mϕ50 GeV), with Yukawa couplings proportional to the lepton’s mass. In particular, I investigate the constraints from BaBar, beam dump experiments, Z decay measured quantities, LEP mono-γ searches, eeττγ searches, and solar and horizontal branch (HB) star bounds. For a pseudoscalar, I find that no region in the parameter space can simultaneously provide a solution for both the electron and the muon anomalies while maintaining the required form of the couplings, and therefore, the pseudoscalar solution is disfavored. On the other hand, I find for the scalar case that there is an open window above ~30 MeV in the allowed region, but with significant tension with experiment for the region mϕ10 GeV. In addition, there is a smaller window between ~350 KeV and 1 MeV that is not ruled out by cosmological observations. Part of the first open window is expected to be covered by the proposed NA64 experiment. Similar analysis can be readily applied to other proposed solutions to the anomaly, such as solutions with Z or with the dark photon.

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    {
      "source": "Hindawi", 
      "value": "I investigate a class of models with scalar and pseudoscalar solutions to the <math id=\"M2\"><mi>g</mi><mo>\u2212</mo><mn>2</mn></math> anomaly for both the muon and the electron over the mass range of perturbativity (<math id=\"M3\"><msub><mrow><mi>m</mi></mrow><mrow><mi>\u03d5</mi></mrow></msub><mo>\u2272</mo><mn>50</mn></math> GeV), with Yukawa couplings proportional to the lepton\u2019s mass. In particular, I investigate the constraints from BaBar, beam dump experiments, <math id=\"M4\"><mi>Z</mi></math> decay measured quantities, LEP mono-<math id=\"M5\"><mi>\u03b3</mi></math> searches, <math id=\"M6\"><mi>e</mi><mi>e</mi><mo>\u27f6</mo><mi>\u03c4</mi><mi>\u03c4</mi><mfenced><mrow><mi>\u03b3</mi></mrow></mfenced></math> searches, and solar and horizontal branch (HB) star bounds. For a pseudoscalar, I find that no region in the parameter space can simultaneously provide a solution for both the electron and the muon anomalies while maintaining the required form of the couplings, and therefore, the pseudoscalar solution is disfavored. On the other hand, I find for the scalar case that there is an open window above ~30 MeV in the allowed region, but with significant tension with experiment for the region <math id=\"M7\"><msub><mrow><mi>m</mi></mrow><mrow><mi>\u03d5</mi></mrow></msub><mo>\u2273</mo><mn>10</mn><mtext> </mtext><mtext>GeV</mtext></math>. In addition, there is a smaller window between ~350 KeV and 1 MeV that is not ruled out by cosmological observations. Part of the first open window is expected to be covered by the proposed NA64 experiment. Similar analysis can be readily applied to other proposed solutions to the anomaly, such as solutions with <math id=\"M8\"><msup><mrow><mi>Z</mi></mrow><mrow><mo>\u2032</mo></mrow></msup></math> or with the dark photon."
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Published on:
01 July 2020
Publisher:
Hindawi
Published in:
Advances in High Energy Physics (2020)

DOI:
https://doi.org/10.1155/2020/1751534
arXiv:
1810.08891
Copyrights:
Copyright © 2020 Fayez Abu-Ajamieh.
Licence:
CC-BY-3.0

Fulltext files: