Resonant CP violation in rare tau decay

Abstract

In this work, we study the lepton number violating tau decays via intermediate on-shell Majorana neutrinos $N_j$ into two scalar mesons and a lepton ${\tau }^{\pm }\to M_1{}^{\pm }{N}_j\to M_1^{\pm }{M}_2^{\pm }{\ell }^{\mp }$. We calculate the Branching ratios $Br({\tau }^{\pm })$ and the CP asymmetry $(\Gamma ({\tau }^{+})-\Gamma ({\tau }^{-}))/(\Gamma ({\tau }^{+})+\Gamma ({\tau }^{-}))$ for such decays, in a scenario that contain at least two heavy Majorana neutrinos. The results show that the CP asymmetry is small, but becomes comparable with the branching ratio $\mathrm{Br}({\tau }^{\pm })$ when their mass difference is comparable with their decay width, $\Delta M_N\sim {\Gamma }_N$. On the other hand, we present regions of the heavy-light neutrino mixing elements, in which the $CP$ asymmetry could be explore in future tau factories.

18 pages, New references

References in corpus (8)

• Global fit to three neutrino mixing: critical look at present precision
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• Bounds on heavy Majorana neutrinos in type-I seesaw and implications for collider searches
• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Neutrino Mass and New Physics
• Rare meson decays with three pairs of quasi-degenerate heavy neutrinos
• CP Violation with Majorana neutrinos in K Meson Decays
• Baryogenesis via leptogenesis

Cited by in corpus (30)

• Bounds on heavy Majorana neutrinos in type-I seesaw and implications for collider searches
• Probing Leptogenesis
• Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays
• Sensitivity of Lepton Number Violating Meson Decays in Different Experiments
• An allowed window for heavy neutral leptons below the kaon mass
• Searching for a Sterile Neutrino in Tau Decays at B-factories
• Interference effects in LNV and LFV semileptonic decays: the Majorana hypothesis
• Sensitivity limits on heavy-light mixing $|U_{\mu N}{|}^2$ from lepton number violating $B$ meson decays
• Measuring the heavy neutrino oscillations in rare W boson decays at the Large Hadron Collider
• Sensitivity bounds on heavy neutrino mixing $|U_{\mu N}{|}^2$ and $|U_{\tau N}{|}^2$ from LHCb upgrade
• Exploring CP-Violating heavy neutrino oscillations in rare tau decays at Belle II
• Lepton number violation in $B_s$ meson decays induced by an on-shell Majorana neutrino
• Search for lepton-number-violating signals in the charm sector
• Exploring CP-violation, via heavy neutrino oscillations, in rare B meson decays at Belle II
• Discovering intermediate mass sterile neutrinos through ${\tau }^{-}\to {\pi }^{-}{\mu }^{-}{e}^{+}\nu$ (or $\bar{\nu }$) decay
• Exploring GeV-scale Majorana neutrinos in lepton-number-violating ${\Lambda }_b^0$ baryon decays
• Heavy Neutrino-Antineutrino Oscillations in Quantum Field Theory
• Probing sterile neutrino in $B$ ($D$) meson decays at Belle II (BESIII)
• CP Violation in Rare Lepton-Number-Violating $W$ Decays at the LHC
• The study of two quasi-degenerate heavy sterile neutrinos in rare meson decays
• Interference effect in lepton number violating and conserving meson decays for a left-right symmetric model
• Discovering heavy neutrino oscillations in rare Bc meson decays at HL-LHCb
• CP violation with GeV-scale Majorana neutrino in ${\Lambda }_b\to ({\Lambda }_c^{+},p^{+}){\pi }^{+}{\mu }^{-}{\mu }^{-}$ decays
• Sterile neutrinos in ${\Lambda }_b^0\to ({\Lambda }_c^{+},p^{+}){\ell }_1^{-}{\ell }_2^{-}{\ell }_3^{+}\nu$ decays
• Search for heavy Majorana neutrinos at future lepton colliders
• Probe the Mixing Parameter $|V_{\tau N}{|}^2$ for Heavy Neutrinos
• CP violation in the rare Higgs decays via exchange of on-shell almost degenerate Majorana neutrinos, $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{-}U\bar{D}$ and $H\to {\nu }_k{N}_j\to {\nu }_k{\ell }^{+}\bar{U}D$
• Measuring CP violation in rare $W$ decays at the LHC
• Rare Lepton-Number-Violating $W$ Decays at the LHC: CP Violation
• CP violation in $B_s$ decays mediated by two nearly-degenerate Majorana neutrinos