Disentangling the Seesaw in the Left-Right Model -- An Algorithm for the General Case
arXiv:2212.14837 · doi:10.1103/PhysRevD.107.075001
Abstract
Senjanovic and Tello have analyzed how one could determine the neutrino Dirac mass matrix in the minimal left-right model, assuming that the mass matrices for the light and heavy neutrinos could be taken as inputs. They have provided an analytical solution for the Dirac mass matrix in the case that the left-right symmetry is implemented via a generalized parity symmetry and that this symmetry remains unbroken in the Dirac Yukawa sector. We extend the work of Senjanovic and Tello to the case in which the generalized parity symmetry is broken in the Dirac Yukawa sector. In this case the elegant method outlined by Senjanovic and Tello breaks down and we need to adopt a numerical approach. Several iterative approaches are described; these are found to work in some cases but to be highly unstable in others. A stable, prescriptive numerical algorithm is described that works in all but a vanishingly small number of cases. We apply this algorithm to numerical data sets that are consistent with current experimental constraints on neutrino masses and mixings. We also provide some additional context and supporting explanations for the case in which the parity symmetry is unbroken.
arXiv comment34 pages, 4 figures; published version
References in corpus (20)
- Evidence for oscillation of atmospheric neutrinos
- Oscillating neutrinos and mu --> e, gamma
- Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
- Neutrinoless Double-Beta Decay: Status and Prospects
- Heavy Neutrinos and Lepton Flavour Violation in Left-Right Symmetric Models at the LHC
- Left-Right Symmetry: from Majorana to Dirac
- Same Sign versus Opposite Sign Dileptons as a Probe of Low Scale Seesaw Mechanisms
- Divide and concur: A general approach to constraint satisfaction
- Lepton Number Violation and `Diracness' of massive neutrinos composed of Majorana states
- Ubiquitous CP violation in a top-inspired left-right model
- Interplay of type I and type II seesaw contributions to neutrino mass
- Probing Seesaw with Parity Restoration
- Measuring heavy neutrino couplings at the LHC
- Duality in Left-Right Symmetric Seesaw Mechanism
- Disentangling Seesaw in the Minimal Left-Right Symmetric Model
- Quark-Lepton Unification and Eight-Fold Ambiguity in the Left-Right Symmetric Seesaw Mechanism
- Inverting the seesaw formula
- Parity and the origin of neutrino mass
- Neutrinos in a left-right model with a horizontal symmetry
- Parameterizing Majorana Neutrino Couplings in the Higgs Sector