Data-driven study of the implications of anomalous magnetic moments and lepton flavor violating processes of $e$, $\mu$ and $\tau$

Abstract

We study anomalous magnetic moments and flavor violating processes of $e$, $\mu$ and $\tau$ leptons. We use a data driven approach to investigate the implications of the present data on the parameters of a class of models, which has spin-0 scalar and spin-1/2 fermion fields. We compare two different cases, which has or does not have a built-in cancelation mechanism. Our findings are as following. Chiral interactions are unable to generate large enough $\Delta a_e$ and $\Delta a_{\mu }$ to accommodate the experimental results. Sizable $\Delta a_e$ and $\Delta a_{\mu }$ can be generated from non-chiral interactions, but they are not contributed from the same source. The upper limit of $\mu \to e\gamma$ decay gives the most severe constraints on photonic penguin contributions in $\mu \to e$ transitions, but the situation may change in considering future experimental sensitivities. The $Z$-penguin diagrams can constrain chiral interaction better than photonic penguin diagrams in $\mu \to e$ transitions. In most of the parameter space, box contributions to $\mu \to 3e$ decay are subleading. In $\tau \to e$ $(\mu )$ transitions, the present $\tau \to e\gamma$ $(\mu \gamma )$ upper limit constrains the photonic penguin contribution better than the $\tau \to 3e$ $(3\mu )$ upper limit, and $Z$-penguin amplitudes constrain chiral interaction better than photonic penguin amplitudes. Box contributions to $\tau \to 3e$ and $\tau \to 3\mu$ decays can sometime be comparable to $Z$-penguin contributions. The ${\tau }^{-}\to e^{-}{\mu }^{+}{e}^{-}$ and ${\tau }^{-}\to {\mu }^{-}{e}^{+}{\mu }^{-}$ rates are highly constrained by $\tau \to e\gamma$, $\mu \to e\gamma$ and $\tau \to \mu \gamma$, $\mu \to e\gamma$ upper limits, respectively. We compare the current experimental upper limits, future sensitivities and bounds from consistency on various muon and tau LFV processes.

arXiv commentTo appear in Phys. Rev. D; 43 pages, 12 figures

References in corpus (62)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
• The Muon g-2
• Measurement of the fine-structure constant as a test of the Standard Model
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Muon Decay and Physics Beyond the Standard Model
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• The Belle II Physics Book
• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei
• An Improved Limit on the Muon Electric Dipole Moment
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• The design of the MEG II experiment
• Dark Matter, Millicharges, Axion and Scalar Particles, Gauge Bosons, and Other New Physics with LDMX
• The muon $g$-2 and $\Delta \alpha$ connection
• Searching for New Physics beyond the Standard Model in Electric Dipole Moment
• Axion-like particles, lepton-flavor violation and a new explanation of $a_{\mu }$ and $a_e$
• Lepton Flavor Violation in the Standard Model with general Dimension-Six Operators
• Hunting for ALPs with Lepton Flavor Violation
• Theory of the tau lepton anomalous magnetic moment
• A Tale of Two Anomalies
• Low-energy phenomenology of scalar leptoquarks at one-loop accuracy
• Explaining electron and muon $g-2$ anomaly in SUSY without lepton-flavor mixings
• Constraints on scalar leptoquarks from lepton and kaon physics
• Anomalous Magnetic Moments from Asymptotic Safety
• A light complex scalar for the electron and muon anomalous magnetic moments
• Resolving electron and muon $g-2$ within the 2HDM
• Loop effects of heavy new scalars and fermions in $b\to s{\mu }^{+}{\mu }^{-}$
• Explanation of electron and muon g-2 anomalies in the MSSM
• Dark matter assisted lepton anomalous magnetic moments and neutrino masses
• The simple interpretations of lepton anomalies in the lepton-specific inert two-Higgs-doublet model
• Revisiting the Dark Photon Explanation of the Muon Anomalous Magnetic Moment
• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• Complete Vector-like Fourth Family and new $\mathrm{U}(1{)}^{\prime }$ for Muon Anomalies
• Electron g-2 with flavor violation in MSSM
• Standard Model radiative corrections in the pion form factor measurements do not explain the $a_{\mu }$ anomaly
• A near-minimal leptoquark model for reconciling flavour anomalies and generating radiative neutrino masses
• Probing $e\mu$ flavor-violating ALP at Belle II
• Electron and muon $g-2$ anomalies in general flavour conserving two Higgs doublets models
• Is it possible to explain the muon and electron $g-2$ in a $Z^{\prime }$ model?
• Muon and electron $g-2$ and lepton masses in flavor models
• $(g-2{)}_{\mu ,e}$ and the ANITA anomalous events in a three-loop neutrino mass model
• Effective approach to lepton observables: the seesaw case
• Complete Vector-like Fourth Family with ${\mathrm{U}(1)}^{\prime }$: A Global Analysis
• Anomalies in ${}^8$Be nuclear transitions and $(g-2{)}_{e,\mu }$: towards a minimal combined explanation
• Non-Perturbative Effects in $\mu \to e\gamma$
• Electron and muon $(g-2)$ in the B-LSSM
• Implications for Electric Dipole Moments of a Leptoquark Scenario for the $B$-Physics Anomalies
• A Predictive Mirror Twin Higgs with Small ${\mathbf{Z}}_2$ Breaking
• Minimal model for the fermion flavor structure, mass hierarchy, dark matter, leptogenesis, and the electron and muon anomalous magnetic moments
• Viable low-scale model with Universal and Inverse Seesaw Mechanisms
• Electric dipole moments, from e to tau
• The two-loop corrections to lepton MDMs and EDMs in the EBLMSSM
• Muon $g-2$ in Split-Family SUSY in light of LHC Run II
• Implications of last NA64 results and the electron $g_e-2$ anomaly for the X(16.7) boson survival
• Anomalous anomalies from virtual black holes
• A variant two-Higgs doublet model with a new Abelian gauge symmetry
• Implications of Br(μ-> e γ) and Δa_mu on Muonic Lepton Flavor Violating Processes

Cited by in corpus (9)

• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• Electron and Muon Anomalous Magnetic Moments in the Inverse Seesaw Extended NMSSM
• Fermion mass hierarchies from vector-like families with an extended 2HDM and a possible explanation for the electron and muon anomalous magnetic moments
• Lepton-specific inert two-Higgs-doublet model confronted with the new results for muon and electron g-2 anomalies and multi-lepton searches at the LHC
• Non-Abelian Vector Dark Matter and Lepton $g-2$
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• Dark Matter and $(g-2{)}_{\mu ,e}$ in radiative Dirac neutrino mass models
• Marriage between neutrino mass and flavor anomalies
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model