On the Formulation of the Generic Supersymmetric Standard Model (or Supersymmetry without R parity)

Abstract

The generic supersymmetric version of the Standard Model would have the minimal list of superfields incorporating the Standard Model particles, and a Lagrangian dictated by the Standard Model gauge symmetries. To be phenomenologically viable, soft supersymmetry breaking terms have to be included. In the most popular version of the supersymmetric Standard Model, an {\it ad hoc} discrete symmetry, called R parity, is added in by hand. While there has been a lot of various kinds of R-parity violation studies in the literature, the complete version of supersymmetry without R parity is not popularly appreciated. In this article, we present a pedagogical review of the formulation of this generic supersymmetric Standard Model and give a detailed discussion on the basic conceptual issues involved. Unfortunately, there are quite some confusing, or even plainly wrong, statements on the issues within the literature of R-parity violations. We aim at clarifying these issues here. We will first discuss our formulation, about which readers are urged to read without bias from previous acquired perspectives on the topic. Based on the formulation, we will then address the various issues . In relation to phenomenology, our review here will not go beyond tree-level mass matrices. But we will give a careful discussion of mass matrices of all the matter fields involved. Useful expressions for perturbative diagonalizations of the mass matrices at the phenomenologically interesting limit of corresponds to small neutrino masses are derived. All these expressions are given in the fully generic setting, with information on complex phases of parameters retained. Such expressions have been shown to be useful in the analyses of various phenomenological features.

27 pages Revtex, no figure; proof-read version to be published

References in corpus (4)

• $\mu \to e\gamma$ from Supersymmetry without R parity
• One-loop Neutron Electric Dipole Moment from Supersymmetry without R-parity
• A Detailed Analysis of One-loop Neutrino Masses from the Generic Supersymmetric Standard Model
• The Generic Supersymmetric Standard Model as the Complete Theory of Supersymmetry without R-parity

Cited by in corpus (12)

• Comprehensive Analysis on Lepton Flavor Violating Higgs Boson to mu tau Decay in Supersymmetry without R Parity
• Linear programming analysis of the $R$-parity violation within EDM-constraints
• A Supersymmetry Model of Leptons
• R-parity violating supersymmetric Barr-Zee type contributions to the fermion electric dipole moment with weak gauge boson exchange
• Electroweakino searches at the HL-LHC in the baryon number violating MSSM
• Supersymmetry for Fermion Masses
• Quark Loop Contributions to Neutron, Deuteron, and Mercury EDMs from Supersymmetry without R parity
• Flavor Changing Higgs Decays in Supersymmetry with Minimal Flavor Violation
• On the possible resolution of the B-meson decay polarization anomaly in R-parity violating SUSY
• Radiative B decays in Supersymmetry without R-parity
• Some Novel Contributions to Radiative B Decay in Supersymmetry without R-parity
• Leptonic Radiative Decay in Supersymmetry without R parity