The $\mu \to e\gamma$ decay in a systematic effective field theory approach with dimension 6 operators

Abstract

We implement a systematic effective field theory approach to the benchmark process $\mu \to e\gamma$, performing automated one-loop computations including dimension 6 operators and studying their anomalous dimensions. We obtain limits on Wilson coefficients of a relevant subset of lepton-flavour violating operators that contribute to the branching ratio $\mu \to e\gamma$ at one-loop. In addition, we illustrate a method to extract further constraints induced by the mixing of operators under renormalisation-group evolution. This results in limits on the corresponding Wilson coefficients directly at the high scale. The procedure can be applied to other processes as well and, as an example, we consider also lepton-flavour violating decays of the $\tau$.

arXiv comment37 pages, 2 figures. V2 matches the published version

References in corpus (17)

• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Weak Decays Beyond Leading Logarithms
• Dimension-Six Terms in the Standard Model Lagrangian
• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• Searches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma
• FORM version 4.0
• Flavor Violating Higgs Decays
• Flavour-Changing Decays of a 125 GeV Higgs-like Particle
• New Search for tau -> mu gamma and tau -> e gamma Decays at Belle
• Lepton Flavor Violation in the Standard Model with general Dimension-Six Operators
• FormCalc 8: Better Algebra and Vectorization
• Updated measurement of the tau lepton lifetime
• Measurement of the Lifetime of the Tau Lepton

Cited by in corpus (50)

• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Effective field theory approach to $b\to s\ell {\ell }^{(\prime )}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to D^{(\ast )}\tau \nu$ with third generation couplings
• From the trees to the forest: a review of radiative neutrino mass models
• Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions
• Electroweak Radiative Corrections for Collider Physics
• Matching of gauge invariant dimension 6 operators for $b\to s$ and $b\to c$ transitions
• Low-energy effective field theory below the electroweak scale: matching at one loop
• Renormalisation-group improved analysis of $\mu \to e$ processes in a systematic effective-field-theory approach
• The Universal One-Loop Effective Action
• Dimension Seven Operators in Standard Model with Right handed Neutrinos
• On one-loop corrections in the standard model effective field theory; the $\Gamma (h\to \gamma \gamma )$ case
• Yukawa enhancement of $Z$-mediated New Physics in $\Delta S=2$ and $\Delta B=2$ Processes
• Global Analysis of Leptophilic Z' Bosons
• One-loop corrections to $h\to b\bar{b}$ and $h\to \tau \bar{\tau }$ decays in the Standard Model Dimension-6 EFT: four-fermion operators and the large-$m_t$ limit
• New physics at the MUonE experiment at CERN
• Charged lepton flavor violating Higgs decays at future $e^{+}{e}^{-}$ colliders
• NLO corrections to $h\to b\bar{b}$ decay in SMEFT
• QCD radiative corrections for $h\to b\bar{b}$ in the Standard Model Dimension-6 EFT
• Effective Field Theory with Two Higgs Doublets
• Non-Perturbative Effects in $\mu \to e\gamma$
• The Bearable Compositeness of Leptons
• Mu to e gamma and matching at mW
• Adding Flavor to the SMEFT
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• ${\rm Y}$ and $\psi$ leptonic decays as probes of solutions to the $R_D^{(\ast )}$ puzzle
• Low-energy effective field theory below the electroweak scale: one-loop renormalization in the 't Hooft-Veltman scheme
• Higgs decay to fermion pairs at NLO in SMEFT
• Lepton Flavour Violation in Composite Higgs Models
• Singlet night in Feynman-ville: one-loop matching of a real scalar
• Electroweak input schemes and universal corrections in SMEFT
• Computing Tools for Effective Field Theories
• Low-energy lepton physics in the MRSSM: $(g-2{)}_{\mu }$, $\mu \to e\gamma$ and $\mu \to e$ conversion
• Minimal flavor violation in the see-saw portal
• Gearing up for the next generation of LFV experiments, via on-shell methods
• Opportunistic CP Violation
• High-precision muon decay predictions for ALP searches
• Probing Heavy Neutrino Magnetic Moments at the LHC using Long-Lived Particle Searches
• On the exotic Higgs decays in effective field theory
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Lepton-flavour violating decays in theories with dimension 6 operators
• Two-body lepton-flavour-violating decays in a 2HDM with soft family-lepton-number breaking
• SMEFT analysis of charged lepton flavor violating $B$-meson decays
• Constraining the SMEFT Extended with Sterile Neutrinos at FCC-ee
• Lepton Flavor Violation: From Muon Decays to Muon Colliders
• Charged lepton flavor violation in light of Muon $g-2$
• Z lepton flavour violation as a probe for new physics at future $e^{+}{e}^{-}$ colliders
• Lepton flavor violating top quark FCNC processes at the $\mu$TRISTAN
• Constraining lepton flavor violating SMEFT $2q2\ell$ operators from low-energy cLFV processes
• Effective-field theories for charged lepton flavour violation