Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix

Abstract

The confirmation of the discrepancy with the Standard Model predictions in the anomalous magnetic moment by the Muon g-2 experiment at Fermilab points to a low scale of new physics. Flavour symmetries broken at low energies can account for this discrepancy but these models are much more restricted, as they would also generate off-diagonal entries in the dipole moment matrix. Therefore, if we assume that the observed discrepancy in the muon $g-2$ is explained by the contributions of a low-energy flavor symmetry, lepton flavour violating processes can constrain the structure of the lepton mass matrices and therefore the flavour symmetries themselves predicting these structures. We apply these ideas to several discrete flavour symmetries popular in the leptonic sector, such as $\Delta (27)$, $A_4$, and $A_5⋉\mathrm{CP}$.

21 pages; v3: comments added, typos corrected, version accepted for publication in EPJC

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• Predictive flavour symmetries of the neutrino mass matrix
• A Guaranteed Discovery at Future Muon Colliders
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• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
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• Muon and electron $g-2$ and lepton masses in flavor models
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• Stable fermion mass matrices and the charged lepton contribution to neutrino mixing
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Cited by in corpus (3)

• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• General Remarks on the One-loop Contributions to the Muon Anomalous Magnetic Moment
• Searching for BSM Physics in Yukawa Couplings and Flavour Symmetries