Simplest Z prime model

Journal Article · Tue Oct 01 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.2118· OSTI ID:5150311

He, X ^[1]; Joshi, G C; Lew, H; Volkas, R R ^[2]

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1. Theory Division, CERN, CH-1211 Geneva 23 (Switzerland)
2. Research Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville 3052 (Australia)

The differences in family-lepton numbers are anomaly-free in the minimal standard model (MSM), and can therefore be gauged. For three generations of quarks and leptons, three models emerge depending on whether (i) {ital L}{sub {ital e}}{minus}{ital L}{sub {mu}}, (ii) {ital L}{sub {ital e}}{minus}{ital L}{sub {tau}}, or (iii) {ital L}{sub {mu}}{minus}{ital L}{sub {tau}} are gauged. These are the simplest models to feature a {ital Z}{prime} boson because no fermions beyond those already present in the MSM are required to cancel gauge anomalies. We analyze the phenomenology of models (i) and (ii) in detail, and present constraints derived from low-energy neutral-current data and CERN LEP data. We find that these {ital Z}{prime} bosons may have a relatively low mass yet still evade present experimental bounds, while remaining detectable in current accelerators. The introduction of neutrino masses into the models is then considered. We discuss how one may incorporate both the reported 17-keV neutrino, and the Mikheyev-Smirnov-Wolfenstein-effect solution of the solar-neutrino problem. We then describe how to embed the extra U(1) gauge group into a horizontal SU(2)-symmetry group acting on leptons.

• OSTI ID: 5150311
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:7; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
INTERACTIONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LEPTON NUMBER
LEPTONS
LIE GROUPS
MASS
MASSLESS PARTICLES
MATHEMATICAL MODELS
NEUTRAL-CURRENT INTERACTIONS
NEUTRINOS
NUCLEAR POTENTIAL
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
QUANTIZATION
QUARKS
STANDARD MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
YUKAWA POTENTIAL
Z NEUTRAL BOSONS