P stabilizes dark matter and with CP can predict leptonic phases

Abstract

We find that spontaneously broken parity (P) or left-right symmetry stabilizes dark matter in a beautiful way. If dark matter has a non-real intrinsic parity \pm i (e.g. Majorana fermions), parity can ensure that it cannot decay to all normal particles with real intrinsic parities. However if Majorana couplings are absent either in the Lepton or the dark sector, P symmetry can be redefined to remove relative non-real intrinsic phases. It is therefore predicted that neutrinos and dark matter fermions must have Majorana masses if dark matter is stable due to parity. We also consider vectorlike doublet fermions with intrinsic parity \pm i. Strong CP problem is solved by additionally imposing CP. Leptonic CP phases vanish at the tree level in the minimal strong CP solving model, which is a testable prediction. Experimentally if leptonic CP phases are not found (they are found to be consistent with 0 or π) it can be evidence for the type of models in this work where CP is spontaneously or softly broken and there is also a second hidden or softly broken symmetry such as P, Z_2 or Z_4. However leptonic CP violation can be present in closely related or some non-minimal versions of these models.

Updated version with better formatting. Results unchanged

References in corpus (9)

• A direct empirical proof of the existence of dark matter
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Warm Dark Matter in Low Scale Left-Right Theory
• Co-genesis of Matter and Dark Matter with Vector-like Fourth Generation Leptons
• P/CP Conserving CP/P Violation Solves Strong CP Problem
• Gauge-singlet dark matter in a left-right symmetric model with spontaneous CP violation
• Maximal CP and Bounds on the Neutron Electric Dipole Moment from P and CP Breaking
• The Golden Channel at a Neutrino Factory revisited: improved sensitivities from a Magnetised Iron Neutrino Detector
• On the stability of particle dark matter

Cited by in corpus (10)

• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Dark Matter and Collider Studies in the Left-Right Symmetric Model with Vector-Like Leptons
• Leptonic CP problem in left-right symmetric model
• Multi-Higgs models with CP symmetries of increasingly high order
• Matter Parity Violating Dark Matter Decay in Minimal SO(10), Unification, Vacuum Stability and Verifiable Proton Decay
• P and CP solution of the strong CP puzzle
• Leptonic CP Violation Phases, Quark-Lepton Similarity and Seesaw Mechanism
• Parity and lepton masses in the left-right symmetric model
• Strong CP Phase and Parity in the Hamiltonian Formalism
• Does the hierarchy problem generate the seesaw scale?