Next-to-leading order prediction for the decay $\mu \to e(e^{+}{e}^{-})\nu \bar{\nu }$

Abstract

We present the differential decay rates and the branching ratios of the muon decay with internal conversion, $\mu \to e(e^{+}{e}^{-})\nu \bar{\nu }$, in the Standard Model at next-to-leading order (NLO) in the on-shell scheme. This rare decay mode of the muon is among the main sources of background to the search for $\mu \to eee$ decay. We found that in the phase space region where the neutrino energies are small, and the three-electron momenta have a similar signature as in the $\mu \to eee$ decay, the NLO corrections decrease the leading-order prediction by about $10-20\%$

18 pages, 4 figures. v2: version published in JHEP; discussion in section 4.2 extended

References in corpus (30)

• Automatized One-Loop Calculations in 4 and D dimensions
• New Developments in FeynCalc 9.0
• FORM version 4.0
• Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant
• Flavour-Violating Charged Lepton Decays in Seesaw-Type Models
• A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model
• Anatomy and Phenomenology of FCNC and CPV Effects in SUSY Theories
• Anatomy and Phenomenology of mu-tau Lepton Flavour Violation in the MSSM
• Complete 2-loop Quantum Electrodynamic Contributions to the Muon Lifetime in the Fermi Model
• Lepton Flavor Violation in the Standard Model with general Dimension-Six Operators
• The mu - e Conversion in Nuclei, mu --> e gamma, mu --> 3e Decays and TeV Scale See-Saw Scenarios of Neutrino Mass Generation
• Mass effects in muon and semileptonic b -> c decays
• Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant to Part-per-Million Precision
• On the Precise Determination of the Fermi Coupling Constant from the Muon Lifetime
• Constraints on SUSY Lepton Flavour Violation by rare processes
• Higgs-Mediated tau --> mu and tau --> e transitions in II Higgs doublet Model and Supersymmetry
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• Model-independent Analysis of Lepton Flavour Violating Tau Decays
• Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay
• $\tau$- and $\mu$-physics in a general two Higgs doublet model with $\mu -\tau$ flavor violation
• Hadronic Contributions to the Muon Lifetime
• Fully differential NLO predictions for the rare muon decay
• Lepton flavour violation in the MSSM
• Radiative $\mu$ and $\tau$ leptonic decays at NLO
• Measurement of the radiative decay of polarized muons in the MEG experiment
• Considerations Concerning the Radiative Corrections to Muon Decay in the Fermi and Standard Theories
• Five-body leptonic decays of muon and tau leptons
• Status of the Mu3e Experiment at PSI
• Lepton Flavour Violation in Composite Higgs Models
• Lepton-flavour violating decays in theories with dimension 6 operators

Cited by in corpus (10)

• Technical design of the phase I Mu3e experiment
• QED at NNLO with McMule
• The radiative corrections to double-Dalitz decays revisited
• Accessible Lepton-Number-Violating Models and Negligible Neutrino Masses
• High-precision muon decay predictions for ALP searches
• Radiative corrections for the decay ${\Sigma }^0\to \Lambda e^{+}{e}^{-}$
• Five-particle contributions to the inclusive rare $\bar{B}\to X_{s(d)}{\ell }^{+}{\ell }^{-}$ decays
• A theory vade mecum for PSI experiments
• Multi-parton contributions to $\bar{B}\to X_s\gamma$ at NLO
• Effective-field theories for charged lepton flavour violation