Charged lepton flavor violation in light of Muon $g-2$

Abstract

The recent confirmation of the muon $g-2$ anomaly by the Fermilab g-2 experiment may harbinger a new era in $\mu$ and $\tau$ physics. In the context of general two Higgs doublet model, the discrepancy can be explained via one-loop exchange of sub-TeV exotic scalar and pseudoscalars, namely $H$ and $A$, that have flavor changing neutral couplings ${\rho }_{\tau \mu }$ and ${\rho }_{\mu \tau }$ at $\sim 20$ times the usual tau Yukawa coupling, ${\lambda }_{\tau }$. Taking ${\rho }_{\ell {\ell }^{\prime }}\sim {\lambda }_{\min (\mathrm{\ell },{\mathrm{\ell }}^{\prime })}$, we show that the above solution to muon $g-2$ then predicts enhanced rates of various charged lepton flavor violating processes, which should be accessible at upcoming experiments. We cover muon related processes such as $\mu \to e\gamma$, $\mu \to eee$ and $\mu N\to eN$, and $\tau$ decays $\tau \to \mu \gamma$ and $\tau \to \mu \mu \mu$. A similar one-loop diagram with ${\rho }_{e\tau }={\rho }_{\tau e}=\mathcal{O}({\lambda }_e)$ induces $\mu \to e\gamma$, bringing the rate right into the sensitivity of the MEG~II experiment. The $\mu e\gamma$ dipole can be probed further by $\mu \to 3e$ and $\mu N\to eN$. With its promised sensitivity range and ability to use different nuclei, the $\mu N\to eN$ conversion experiments can not only make discovery, but access the extra diagonal quark Yukawa couplings ${\rho }_{qq}$. For the $\tau$ lepton, we find that $\tau \to \mu \gamma$ would probe ${\rho }_{\tau \tau }$ down to ${\lambda }_{\tau }$ or lower, while $\tau \to 3\mu$ would probe ${\rho }_{\mu \mu }$ to $\mathcal{O}({\lambda }_{\mu })$.

arXiv comment8 pages, 3 figures, v2: matches journal version; v3: includes additional references related to muon g-2 SM prediction

References in corpus (39)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Theory and phenomenology of two-Higgs-doublet models
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Measurement of the fine-structure constant as a test of the Standard Model
• Muon Decay and Physics Beyond the Standard Model
• Searches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma
• The Belle II Physics Book
• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• Search for Lepton Flavor Violating Tau Decays into Three Leptons with 719 Million Produced Tau+Tau- Pairs
• Flavor-phenomenology of two-Higgs-doublet models with generic Yukawa structure
• Flavor Violating Higgs Decays
• The design of the MEG II experiment
• Search for lepton-flavour-violating decays of the Higgs boson
• The Scalar Strange Content of the Nucleon from Lattice QCD
• COMET Phase-I Technical Design Report
• Two--loop Contributions of Flavor Changing Neutral Higgs Boson to $\mu \to e\gamma$
• Renormalisation-group improved analysis of $\mu \to e$ processes in a systematic effective-field-theory approach
• On the model discriminating power of mu -> e conversion in nuclei
• When the Higgs meets the Top: Search for t --> ch^0 at the LHC
• Electroweak Baryogenesis driven by Extra Top Yukawa Couplings
• Lepton-flavor-violating Higgs decay $h\to \mu \tau$ and muon anomalous magnetic moment in a general two Higgs doublet model
• The $\mu \to e\gamma$ decay in a systematic effective field theory approach with dimension 6 operators
• $b\to s{\ell }^{+}{\ell }^{-}$ Transitions in Two-Higgs-Doublet Models
• Improved predictions for $\mu \to e$ conversion in nuclei and Higgs-induced lepton flavor violation
• Electroweak Baryogenesis with Lepton Flavor Violation
• Cancellation mechanism for the electron electric dipole moment connected with the baryon asymmetry of the Universe
• $\tau$- and $\mu$-physics in a general two Higgs doublet model with $\mu -\tau$ flavor violation
• Approximate Alignment in Two Higgs Doublet Model with Extra Yukawa Couplings
• Electroweak baryogenesis via bottom transport
• Mu to e gamma and matching at mW
• Probing Lepton Flavor Violation at the 13 TeV LHC
• Muon Flavor Violation in Two Higgs Doublet Model with Extra Yukawa Couplings
• Electromagnetic suppression of the decay mu --> e+gamma
• $h\to \mu \tau$ and muon g-2 in the alignment limit of two-Higgs-doublet model
• The Coming Decade of $h\to \tau \mu$ and $\tau \to \mu \gamma$ Interplay in $\tau$ Flavor Violation Search
• A Final Word on FCNC-Baryogenesis from Two Higgs Doublets

Cited by in corpus (3)

• Unveiling Hidden Physics at the LHC
• Likelihood analysis of the flavour anomalies and $g-2$ in the general two Higgs doublet model
• Science Case for the new High-Intensity Muon Beams HIMB at PSI