Abstract
R-parity violation modifies the phenomenology of supersymmetric models considerably. We study a version of NMSSM, which contains right-handed neutrinos and in which spontaneous R-parity violation is possible. We study the ensuing effects of spontaneous breaking to the Higgs decay modes, taking into account the measured mass of the Higgs boson and experimental constraints, including rare decays. We find that a possible light scalar, dominantly a sneutrino, helps to increase the Standard Model (SM) Higgs-like scalar mass to the measured value. At the same time, a lighter stop than in the MSSM is allowed. The Higgs decay rates in the studied model can somewhat differ from the SM expectations, although the most prominent difference is a universal suppression in the couplings due to the mixing of doublet scalars with singlets. The charged, pseudoscalar, and other than the two lightest scalar Higgses are typically heavier than 1 TeV in the parameter region where R-parity is spontaneously broken.
Highlights
Required, the MSSM superpotential breaks both baryon and lepton number conservation and leads to a much too fast proton decay unless couplings are tiny
It is of interest to study consequences of the dynamical breaking of R-parity, contrary to the explicit breaking, which is the only possibility in MSSM
MSSM is under pressure because of the fine-tuning issues, since no supersymmetric partners have been found at the LHC
Summary
There are several models, which allow vacua with broken R-parity [15, 46,47,48,49,50,51,52,53]. The VEV of Φ produces the μ-term of the superpotential as usual in the NMSSM, and the Majorana mass term for the right-handed neutrinos This superpotential does not introduce anything but a minimum number of fields necessary to break R-parity spontaneously and to have only trilinear couplings. The N 2Φ -term breaks explicitly the lepton number, but not R-parity In this model the pseudo-Majoron will be mostly singlet-like, so even if it were relatively light, it would not have been seen in Z boson decays. In general this will create huge tadpole terms to the singlet fields so that the generation of a μ-term with correct size requires fine-tuning It was shown in [59,60,61] that assuming a new discrete symmetry, which holds for the non-renormalizable terms, only a tadpole term with a size of the supersymmetry breaking scale is generated for the singlet scalar. The model introduces new fields and couplings (a total of 13 new complex parameters in the superpotential compared to the MSSM) but compared to explicit R-parity violation (48 new complex parameters in the superpotential) the model is economical
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
