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Impact of Lorentz violation on anomalous magnetic moments of charged leptons


Crivellin, Andreas; Kirk, Fiona; Schreck, Marco (2022). Impact of Lorentz violation on anomalous magnetic moments of charged leptons. Journal of High Energy Physics, 2022(11):109.

Abstract

We address the question whether a violation of Lorentz symmetry can explain the tension between the measurement and the Standard-Model prediction of the anomalous magnetic moment of the muon, (g − 2)$_{μ}$, and whether it can significantly impact the one of the electron, (g — 2)$_{e}$. While anisotropic Lorentz-violating effects are, in general, expected to produce sidereal oscillations in observables, isotropic Lorentz violation (LV) in the charged-lepton sector could also feed into (g — 2)$_{e,μ}$. However, we find that this type of Lorentz violation, parametrised via a dim-4 field operator of the Standard-Model Extension (SME), is already strongly constrained by the absence of vacuum Čerenkov radiation and photon decay. In particular, the observations of very-high-energetic astrophysical photons at LHAASO and of high-energetic electrons (muons) by the LHC (IceCube) place the most stringent two-sided bounds on the relevant SME coefficients $$ \overset{\circ }{c} $$$^{(e)}$ ($$ \overset{\circ }{c} $$$^{(μ)}$). Therefore, any explanation of the tension in (g − 2)$_{μ}$ via isotropic Lorentz violation of the minimal spin-degenerate SME is excluded, and the possible size of its impact on (g − 2)$_{e}$ is very limited.

Abstract

We address the question whether a violation of Lorentz symmetry can explain the tension between the measurement and the Standard-Model prediction of the anomalous magnetic moment of the muon, (g − 2)$_{μ}$, and whether it can significantly impact the one of the electron, (g — 2)$_{e}$. While anisotropic Lorentz-violating effects are, in general, expected to produce sidereal oscillations in observables, isotropic Lorentz violation (LV) in the charged-lepton sector could also feed into (g — 2)$_{e,μ}$. However, we find that this type of Lorentz violation, parametrised via a dim-4 field operator of the Standard-Model Extension (SME), is already strongly constrained by the absence of vacuum Čerenkov radiation and photon decay. In particular, the observations of very-high-energetic astrophysical photons at LHAASO and of high-energetic electrons (muons) by the LHC (IceCube) place the most stringent two-sided bounds on the relevant SME coefficients $$ \overset{\circ }{c} $$$^{(e)}$ ($$ \overset{\circ }{c} $$$^{(μ)}$). Therefore, any explanation of the tension in (g − 2)$_{μ}$ via isotropic Lorentz violation of the minimal spin-degenerate SME is excluded, and the possible size of its impact on (g − 2)$_{e}$ is very limited.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:18 November 2022
Deposited On:13 Feb 2023 17:03
Last Modified:24 Jun 2024 03:33
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep11(2022)109
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)