Lightest Higgs boson masses in the R-parity violating supersymmetry

Abstract

The first results on the searches of the Higgs boson appeared this Summer from the LHC and Tevatron groups, and has been recently backed up by the ATLAS and CMS experiments taking data at CERN's LHC. Even though the excitement that this particle has been detected is still premature, the new data constrain the mass of the lightest Higgs boson $m_{h^0}$ to a very narrow 120-140 GeV region with a possible peak at approximately 125 GeV. In this communication we shortly present the Higgs sector in a minimal supergravity model with broken R-parity. Imposing the constraint on $m_{h^0}$ we show that there is a relatively large set of free parameters of the model, for which that constraint is fulfilled. We indetify also points which result in the lightest Higgs boson mass being approximately 125 GeV. Also the dependence on the magnitude of the R-parity admixture to the model is discussed.