Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model
arXiv:0808.3475 · doi:10.1103/PhysRevD.79.025017
Abstract
We study the Standard-Model extensions that have the following features: they violate Lorentz invariance explicitly at high energies; they are unitary, local, polynomial and renormalizable by weighted power counting; they contain the vertex (LH)^2, which gives Majorana masses to the neutrinos after symmetry breaking, and possibly four fermion interactions; they do not contain right-handed neutrinos, nor other extra fields. We study the simplest CPT invariant Standard-Model extension of this type in detail and prove the cancellation of gauge anomalies. We investigate the low-energy recovery of Lorentz invariance and comment on other types of extensions.
26 pages; v2: more references and comments, PRD
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Cited by in corpus (17)
- Lorentz symmetry breaking as a quantum field theory regulator
- Cosmology of the Lifshitz universe
- Renormalization group in Lifshitz-type theories
- Projectable Horava-Lifshitz gravity in a nutshell
- On the assertion that PCT violation implies Lorentz non-invariance
- Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz Violation
- Weighted power counting and chiral dimensional regularization
- Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
- Renormalization Of High-Energy Lorentz Violating Four Fermion Models
- Eikonal equation of the Lorentz-violating Maxwell theory
- Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model
- Domain-wall branes in Lifshitz theories
- Low-energy Phenomenology Of Scalarless Standard-Model Extensions With High-Energy Lorentz Violation
- Adler-Bardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theories
- CPT invariance and neutrino physics
- Very special relativity as particle in a gauge field and two-time physics
- BPS solitons in Lifshitz field theories