Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-10-29
Phys.Lett. B324 (1994) 397-402
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, DFPD 93/TH/68, UTS-DFT-93-27, SISSA 93/168/A preprints, 2 figures available upon e-mail request
Scientific paper
10.1016/0370-2693(94)90212-7
We reconsider the possibility of spontaneous breaking of $R$ parity in the Minimal Supersymmetric Standard Model. By a renormalization group analysis we find the parameter space in which a sneutrino gets a vacuum expectation value, leading to the spontaneous breaking of the lepton number and to the appearance of a phenomenologically unacceptable massless Goldstone boson. We then analyze the effect of operators giving rise to a tiny amount of explicit violation of lepton number, which could emerge as remnants of physics at some superheavy (Planck or GUT) scale in the low energy effective theory. We show that the conspiracy between the spontaneous and the explicit breaking scales can provide a mass to the Goldstone boson larger than the ${\rm Z}^0$ boson mass, hence allowing for a non vanishing sneutrino vacuum expectation value without increasing the invisible width of the ${\rm Z}^0$.
Comelli Denis
Masiero Antonio
Pietroni Massimo
Riotto Antonio
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