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 $A_5⋉\mathrm{CP}$.

arXiv comment21 pages; v3: comments added, typos corrected, version accepted for publication in EPJC

References in corpus (56)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Measurement of the fine-structure constant as a test of the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• An Improved Limit on the Muon Electric Dipole Moment
• The design of the MEG II experiment
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• Hadronic vacuum polarization: $(g-2{)}_{\mu }$ versus global electroweak fits
• The muon $g$-2 and $\Delta \alpha$ connection
• Testing new physics with the electron g-2
• CP and Discrete Flavour Symmetries
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• The muon g-2 and the bounds on the Higgs boson mass
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Theory of the tau lepton anomalous magnetic moment
• Search for the Electric Dipole Moment of the tau Lepton
• The Flavor Group Delta(3n^2)
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Neutrino Mass Matrix from Delta(27) Symmetry
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• Predictive flavour symmetries of the neutrino mass matrix
• A Guaranteed Discovery at Future Muon Colliders
• Impact of correlations between $a_{\mu }$ and ${\alpha }_{QED}$ on the EW fit
• Lepton mixing from the interplay of the alternating group A5 and CP
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Model independent bounds on the tau lepton electromagnetic and weak magnetic moments
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• Quark-Lepton Mass Relation and CKM mixing in an A4 Extension of the Minimal Supersymmetric Standard Model
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Repressing Anarchy in Neutrino Mass Textures
• Radiative Generation of the Lepton Mass
• Muon and electron $g-2$ and lepton masses in flavor models
• Towards a complete $\Delta (27)\times SO(10)$ SUSY GUT
• Universal Constraints on Low-Energy Flavour Models
• Tri-Bimaximal lepton mixing with A4 semidirect product Z2 x Z2 x Z2
• Measurable Neutrino Mass Scale in A4 x SU(5)
• The Messenger Sector of SUSY Flavour Models and Radiative Breaking of Flavour Universality
• Invariant approach to flavour-dependent CP-violating phases in the MSSM
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Controlled flavor violation in the MSSM from a unified $\Delta (27)$ flavor symmetry
• Stable fermion mass matrices and the charged lepton contribution to neutrino mixing
• Controlled fermion mixing and FCNCs in a $\Delta (27)$ 3+1 Higgs Doublet Model
• Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$
• Lepton Flavor Violation and Neutrino Masses from $A_5$ and CP in the Non-Universal MSSM

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