Leptonic CP violating effective action for Dirac and Majorana neutrinos
arXiv:1405.7927 · doi:10.1007/JHEP08(2014)156
Abstract
In the Standard Model minimally extended to include massive neutrinos, we compute the leading CP-violating zero temperature contributions to the one-loop effective action induced by integration of the leptons. Such contributions start at operators of dimension six and they are P even for Dirac neutrinos and P even or odd for Majorana neutrinos. Dimension four operators are allowed in the mixed Dirac-Majorana case. It is verified by explicit calculation that CP can be violated in two generation settings for Majorana neutrinos. Using different neutrino scenarios we give upper bounds for the couplings of the CP-violating operators. As a rule, we find that lepton-induced couplings are suppressed as compared to quark-induced couplings, whenever the latter are allowed, nevertheless, through virtual lepton-number violating mechanisms, Majorana neutrinos induce new CP-violating operators not present in the quark or Dirac-neutrino cases.
arXiv comment47 pages, 4 figures
References in corpus (33)
- Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
- Particle Dark Matter: Evidence, Candidates and Constraints
- Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
- CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
- Electric dipole moments as probes of new physics
- Phenomenology with Massive Neutrinos
- Three-flavour neutrino oscillation update
- Observation of CP violation in the B^0 meson system
- Electroweak Baryogenesis
- Theory of Neutrinos: A White Paper
- Double Beta Decay
- Baryon Asymmetry of the Universe in the Minimal Standard Model
- Cosmological and Astrophysical Neutrino Mass Measurements
- Flavor Mixing and CP Violation of Massive Neutrinos
- B Decays and CP Violation
- Baryon asymmetry from electroweak tachyonic preheating
- Quark mixing, CP violation and rare decays after the top quark discovery
- Natural Cold Baryogenesis from Strongly Interacting Electroweak Symmetry Breaking
- CP Violation Beyond the Standard Model
- Demonstration of Communication using Neutrinos
- Sizable CP Violation in the Bosonized Standard Model
- Cold electroweak baryogenesis with Standard Model CP violation
- Temperature Dependence of Standard Model CP Violation
- Wigner transformation for the determinant of Dirac operators
- Derivative expansion for the effective action of chiral gauge fermions. The abnormal parity component
- Effective CP violation in the Standard Model
- Computing the temperature dependence of effective CP violation in the standard model
- CP violation in the effective action of the Standard Model
- Derivative expansion for the effective action of chiral gauge fermions. The normal parity component
- The method of covariant symbols in curved space-time
- Leading order one-loop CP and P violating effective action in the Standard Model
- Direct construction of the effective action of chiral gauge fermions in the anomalous sector
- The invariant factor of the chiral determinant