Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei

By R. Kitano, M. Koike, Y. Okada. 2002

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The coherent µ - e conversion rates in various nuclei are calculated for general lepton ﬂavor violating interactions. We solve the Dirac equations numerically for the initial state muon and the ﬁnal state electron in the Coulomb force, and perform the overlap integrals between the wave functions and the nucleon densities. The results indicate that the conversion branching ratio increases for a light nucleus up to the atomic number Z ∼ 30, is largest for Z = 30 – 60, and becomes smaller for a heavy nucleus with Z & 60. We also discuss the uncertainty from the input proton and neutron densities. The atomic number dependence of the conversion ratio calculated here is useful to distinguish theoretical models with lepton ﬂavor violation.

View Paper: https://www.semanticscholar.org/paper/339c3125e144e06e87347ec19e9e4784561bee6c

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Citations in the corpus

General neutrino interactions from an effective field theory perspective (2019, methodology): “Extending the results of [27], we apply the formulae of [29] (Method 1) to constrain also Clq(1), Clq(3), and the coefficients of scalar operators Celqd and Celuq with index structures eμ11 to all be of order 10 −7.”
Charged Lepton Flavour Violation: An Experimental and Theoretical Introduction (2017, background): “((12)) For full calculations of the μ→ e conversion rates in different nuclei, see [109, 122, 123].”
Physics of leptoquarks in precision experiments and at particle colliders (2016, methodology): “Using the notation of [232] we thus have”
Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing (2013, unknown): “[102] can be replaced by the quantities Zeff and the form factor F (−m(2)μ), where V (p) √ Z = Z(2) effF (−m(2)μ)α 3 2 em 4π , (A-23) and V /Z ≃ V /N .”
Renormalisation-group improved analysis of μ → e processes in a systematic effective-field-theory approach (2017, methodology): “The coherent LFV muonic transition in nuclei is produced by the dipole, the vector, and the scalar operators already at the tree level [38].”