Nuclear muon-positron conversion mediated by Majorana neutrinos

Abstract

We study lepton number violating (LNV) process of muon-positron conversion in nuclei mediated by the exchange of light and heavy Majorana neutrinos. Nuclear structure calculations have been carried out for the case of experimentally interesting nucleus 48Ti in the framework of renormalized proton-neutron Quasiparticle Random Phase Approximation. We demonstrate that the imaginary part of the amplitude of light Majorana neutrino exchange mechanism gives an appreciable contribution to the muon-positron conversion rate. This specific feature is absent in the allied case of neutrinoless double beta decay. Using the present neutrino oscillations, tritium beta decay, accelerator and cosmological data we derived the limits on the effective masses of light <m>_{μe} and heavy <M_N^{-1}>_{μe} neutrinos. The expected rates of muon-positron nuclear conversion, corresponding to these limits, were found to be so small that even within a distant future the muon-positron conversion experiments will hardly be able to detect the neutrino signal. Therefore, searches for this LNV process can only rely on the presence of certain physics beyond the trivial extension of the Standard Model by inclusion of massive Majorana neutrinos.

28 pages, 3 figures. Added comments, references and one figure. Typos in eqs. (18), (19) corrected

References in corpus (26)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Double Beta Decay
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• Phenomenology of Neutrino Oscillations
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Double Beta Decay
• On the uncertainty in the $0\nu \beta \beta$ decay nuclear matrix elements
• Neutrinoless Double Beta Decay within QRPA with Proton-Neutron Pairing
• Status of three-neutrino oscillations after the SNO-salt data
• Solar Neutrino Masses and Mixing from Bilinear R-Parity Broken Supersymmetry: Analytical versus Numerical Results
• Dominance of Pion-exchange in R-parity Violating Supersymmetry Contributions to Neutrinoless Double Beta Decay
• The Pauli principle, QRPA and the two-neutrino double beta decay
• A preference for a non-zero neutrino mass from cosmological data
• K-meson neutrinoless double muon decay as a probe of neutrino masses and mixings
• Lepton Flavor Non-Conservation
• Muon-electron conversion in strange quark sea
• Exotic muon-electron conversion in nuclei and R-parity violating supersymmetry
• The Majorana neutrino masses, neutrinoless double beta decay and nuclear matrix elements
• Grand unified theory constrained supersymmetry and neutrinoless double beta decay
• B-quark mediated neutrinoless ${\mu }^{-}-e^{-}$ conversion in presence of R-parity violation
• State-by-state calculations for all channels of the exotic $({\mu }^{-},e^{-})$ conversion process
• Neutrino mediated muon--electron conversion in nuclei revisited
• The (muon^-,muon^+) conversion in nuclei as a probe of new physics
• The exotic double-charge exchange muon positron conversion in nuclei
• On nuclear matrix element uncertainties in short range 0vBB decay

Cited by in corpus (11)

• The Search for Heavy Majorana Neutrinos
• Theory of neutrinoless double beta decay
• Neutrino-less Double Beta Decay and Particle Physics
• COMET Phase-I Technical Design Report
• Upper Bounds on Lepton-number Violating Processes
• On Lepton-Number-Violating Searches for Muon to Positron Conversion
• Left-Right Symmetric Models at the High-Intensity Frontier
• ${\mathbf{\mu }}^{-}$- ${\mathbf{e}}^{+}$ Conversion from Short-Range Operators
• Probing charged lepton number violation via ${\ell }^{\pm }{\ell }^{\prime \pm }{W}^{\mp }{W}^{\mp }$
• Determination of coupling patterns by parallel searches for ${\mu }^{-}\to e^{+}$ and ${\mu }^{-}\to e^{-}$ in muonic atoms
• Muon to positron conversion