nLab
R-parity

Contents

Context

Fields and quanta

Algebraic Quantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

Idea

In the plain minimally supersymmetric standard model (MSSM), baryon/lepton number would not need to be preserved. Since however experimental observation indicates that these quantum observables are preserved to high accuracy, a common ad hoc solution in bottom-up model-building is to impose a certain Z/2-action on the MSSM as a global symmetry, called R-parity, which does enforce baryon/lepton number conservation.

From a top-down model building-perspective there is the rough idea that R-parity may be thought of as a discrete remnant of R-symmetry (e.g. Chamseddine-Dreiner 96, p. 2, Frugiuele-Gregoire 11)

There remain speculations that even if MSSM-like models are realistic, R-parity might in fact be violated in nature after all, such as as possibly indicated by the apparent flavour anomalies (Wang-Yang-Yuan 19).

References

The original articles are

See also

Discussion of possible relation to R-symmetry:

  • Ali Chamseddine, Herbi Dreiner, Anomaly-Free Gauged R-Symmetry in Local Supersymmetry, Nucl.Phys. B458 (1996) 65-89 (arXiv:hep-ph/9504337)

  • Claudia Frugiuele, Thomas Gregoire, Making the Sneutrino a Higgs with a U(1) RU(1)_R Lepton Number, PhysRev D.85.015016 (arXiv:1107.4634)

Suggestion that the MSSM with R-parity violation could explain the flavour anomalies:

  • Dong-Yang Wang, Ya-Dong Yang, Xing-Bo Yuan, bcτν¯b \to c \tau \bar \nu decays in supersymmetry with R-parity violation (arXiv:1905.08784)

Last revised on June 17, 2019 at 15:58:15. See the history of this page for a list of all contributions to it.