Radiative Decays of Charged Leptons in the Seesaw Effective Field Theory with One-loop Matching

Abstract

The canonical type-I seesaw model with three heavy Majorana neutrinos is one of the most natural extensions of the standard model (SM) to accommodate tiny Majorana masses of three ordinary neutrinos. At low-energy scales, Majorana neutrino masses and unitarity violation of lepton flavor mixing have been extensively discussed in the literature, which are respectively generated by the unique dimension-five Weinberg operator and one dimension-six operator in the seesaw effective field theory (SEFT) with the tree-level matching. In this work, we clarify that a self-consistent calculation of radiative decays of charged leptons ${\beta }^{-}\to {\alpha }^{-}+\gamma$ requires the SEFT with one-loop matching, where new six-dimensional operators emerge and make important contributions. For the first time, the Wilson coefficients of all the relevant six-dimensional operators are computed by carrying out the one-loop matching between the effective theory and full seesaw model, and applied to calculate the total rates of radiative decays of charged leptons.

20 pages, 3 figures, matches the version published in PLB

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Cited by in corpus (14)

• Operator Bases in Effective Field Theories with Sterile Neutrinos: $d\le 9$
• Complete One-loop Matching of the Type-I Seesaw Model onto the Standard Model Effective Field Theory
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• One-loop Matching of the Type-II Seesaw Model onto the Standard Model Effective Field Theory
• Effective comparison of neutrino-mass models
• Comprehensive Analysis of Charged Lepton Flavour Violation in the Symmetry Protected Type-I Seesaw
• A full parametrization of the $9\times 9$ active-sterile flavor mixing matrix in the inverse or linear seesaw scenario of massive neutrinos
• Complete One-loop Structure of the Type-(I+II) Seesaw Effective Field Theory
• Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories
• Positivity bounds at one-loop level: the Higgs sector
• Probing unitarity violation of lepton flavor mixing matrix with reactor antineutrinos at JUNO and TAO
• Identifying a minimal flavor symmetry of the seesaw mechanism behind neutrino oscillations
• Running of neutrino mass parameters in the Zee model
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme