2015/12/02 by Yang-Hui He, Vishnu Jejjala, Cyril Matti +1
Mathematics · Physics and Astronomy · #Affine transformation #Electroweak interaction #Higgs boson #Higgs sector #Lepton #Lepton number #Neutrino #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #R-parity #Superpotential #hep-ph #hep-th #math.AG
paper · pdf · doi:10.1007/jhep03(2016)079
29 pages, LaTeX
arxiv created 2015/12/02 · openalex publication_date 2016/03/01 · arxiv updated 2016/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We present a complete classification of the vacuum geometries of all renormalizable superpotentials built from the fields of the electroweak sector of the MSSM. In addition to the Severi and affine Calabi-Yau varieties previously found, new vacuum manifolds are identified; we thereby investigate the geometrical implication of theories which display a manifest matter parity (or R-parity) via the distinction between leptonic and Higgs doublets, and of the lepton number assignment of the right-handed neutrino fields. We find that the traditional R-parity assignments of the MSSM more readily accommodate the neutrino see-saw mechanism with non-trivial geometry than those superpotentials that violate R-parity. However there appears to be no geometrical preference for a fundamental Higgs bilinear in the superpotential, with operators that violate lepton number, such as ν HH , generating vacuum moduli spaces equivalent to those with a fundamental bilinear.