1996/07/29 by Howard Baer, Michal Brhlik, Diego J. Castaño +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Dark Matter and Cosmic Phenomena #Mathematical physics #Mathematics #Naturalness #Parameter space #Particle physics #Particle physics theoretical and experimental studies #Philosophy #Physics #Renormalization #Renormalization group #Space (punctuation) #Statistics #Supergravity #Supersymmetry #Theoretical physics #Tree (set theory) #hep-ph
paper · pdf · doi:10.1103/physrevd.54.6944
published as Phys.Rev. D54 (1996) 6944-6956 · 22 pages plus 8 figures; uuencoded text file with PS figures also available via anonymous ftp from ftp://hep.fsu.edu/preprints/baer/vac.uu
arxiv created 1996/07/29 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We evaluate regions of parameter space in the minimal supergravity model where "unbounded from below" (UFB) or charge or color-breaking minima (CCB) occur. Our analysis includes the most important terms from the one-loop effective potential. We note a peculiar discontinuity of results depending on how renormalization group improvement is performed: One case leads to a UFB potential throughout the model parameter space, while the other typically agrees quite well with similar calculations performed using only the tree level potential. We compare our results with constraints from cosmology and naturalness and find a preferred region of parameter space which implies m_\stackrel\ifmmode \else \~\fig\ensuremath\lesssim725 GeV, m_\stackrel\ifmmode \else \~\fiq\ensuremath\lesssim650 GeV, m_\stackrel\ifmmode \else \~\fiW1\ensuremath\lesssim225 GeV, and m_\stackrel\ifmmode \else \~\filR\ensuremath\lesssim220 GeV. We discuss the consequences of our results for supersymmetry searches at various colliding beam facilities.