The minimum supersymmetric standard model without R-parity through various lepton-number violations

TL;DR

This paper systematically investigates an R-parity violating MSSM with lepton-number violations, analyzing mixing, Higgs mass possibilities, and providing Feynman rules, spectrum calculations, and experimental constraints.

Contribution

It introduces a comprehensive formulation of lepton-number violations in R-parity violating MSSM, including mixing, Higgs mass analysis, and explicit Feynman rules.

Findings

Lightest Higgs can be heavier than Z at tree level.

There is a U(n+1) freedom in redefining lepton and Higgs superfields.

Numerical spectrum calculations are consistent with experimental constraints.

Abstract

The minimum supersymmetric standard model (MSSM) without R-parity through various lepton-number violations is investigated systematically. All kinds of possible mixing in the model are formulated precisely. The remarkable issue that the lightest `Higgs' $H_1^0$ may be heavier than the weak-boson $Z$ at tree level is kept, as the special R-parity violation MSSM where only bilinear violation of the lepton numbers is allowed. It is also shown explicitly that there is a freedom $U(n+1)$ ($n$ is the number of the broken lepton-numbers) in re-defining the lepton and Higgs superfields. Feynman rules relevant to the R-parity violations are given precisely in $'$t Hooft-Feynman gauge. With further assumptions and concerning all available experimental constraints, spectrum for interest sectors is computed numerically.