In the context of the Supersymmetric (SUSY) B − L (Baryon minus Lepton number) model with an inverse seesaw mechanism, we calculate the one-loop radiative corrections due to right-handed (s)neutrinos to the mass of the lightest Higgs boson when the latter is Standard Model (SM)-like. We show that such effects can be as large as O(100) GeV, thereby giving an absolute upper limit on such a mass around 200 GeV. The importance of this result from a phenomenological point of view is twofold. On the one hand, this enhancement greatly reconciles theory and experiment, by alleviating the so-called 'little hierarchy problem' of the minimal SUSY realisation, whereby the current experimental limit on the SM-like Higgs mass is very near its absolute upper limit predicted theoretically, of 130 GeV. On the other hand, a SM-like Higgs boson with mass below 200 GeV is still well within the reach of the Large Hadron Collider (LHC), so that the SUSY realisation discussed here is just as testable as the minimal version. PACS numbers:The Higgs boson is the last missing particle in the SM. Higgs boson discovery at the LHC is, therefore, crucial for its validity as a low energy approximation of a new physics scenario valid to high energy scales. A possibility for the latter emerges in SUSY theories, wherein the Higgs mechanism is retained for mass generation and multiple Higgs bosons appear in order to cancel anomalies. In addition, the stabilization of the Higgs mass against loop corrections (gauge hierarchy problem) is possibly the strongest motivation for a SUSY theory of nature. Hence, Higgs boson discovery at the LHC is also crucial for SUSY as a whole. A consequence of a SUSY Higgs sector is the existence of a stringent upper bound on the mass of the lightest SUSY Higgs boson, h, when the latter is SM-like. In the Minimal Supersymmetric Standard Model (MSSM), this value is m h < ∼ 130 GeV. Therefore, non-observing at the LHC a SM-like Higgs boson lighter than 130 GeV would rule out the MSSM.In detail, in the MSSM, the mass of the lightest Higgs state can be approximated, at the one-loop level, as [1]where g is the SU (2) gauge coupling. mt 1,2 are the two stop physical masses. The ratio of the Electro-Weak (EW) Vacuum Expectation Values (VEVs) is given by tan β = v 2 /v 1 . Note that the factor 3 in the above topstop correction is due to color. If one assumes that the stop masses are of order TeV, then the one-loop effect leads to a correction of order O(100) GeV, which implies that m MSSM h < ∼ (90 GeV) 2 + (100 GeV) 2 ≃ 135 GeV. (2) It is worth mentioning that the two-loop corrections reduce this upper bound by a few GeVs, to the aforementioned 130 GeV or so value [2].Experimental evidence now exists for physics beyond the SM, in the form of neutrino oscillations, which imply neutrino masses [3]. In turn, the latter imply new physics beyond not only the SM, but also the MSSM. Right-handed neutrino superfields are usually introduced in order to implement the seesaw mechanism, which provides an elegant solution for the smallnes...

We explore right-handed sneutrino-antisneutrino mixing in a TeV scale B − L extension of the Minimal Supersymmetric Standard Model (MSSM), (B − L)SSM, where a type I seesaw mechanism of light neutrino mass generation is naturally implemented. The constraints imposed on the mass splitting between heavy right-handed sneutrino and the corresponding antisneutrino by the experimental limits set on the light neutrino masses are investigated. We also study direct pair production of such right-handed sneutrinos at the Large Hadron Collider (LHC) and its decay modes, emphasising that their decay into same-sign di-lepton pairs are salient features for probing these particles at the CERN machine. Finally, the charge asymmetry present in such same-sign di-lepton signals is also analysed and confirms itself as a further useful handle to extract information about the oscillation dynamics.PACS numbers: I. INTRODUCTIONExperimental evidence exists for the oscillation into one another of physical eigenstates of relativistic fields/particles with degenerate quantum numbers, specifically, in neutral systems, like K 0 , B 0 d , B 0 s , D 0 , and, most importantly for our study, ν's. In the case of the hadronic states, the associated measurements provided important insights into the structure of Electro-Weak (EW) interactions, in particular, their Charge and Parity (CP) dynamics, confirming that CP-violation indeed occurs in Nature. In the case of neutrinos, proof that they oscillate translates into the fact that they have non-zero masses. Hence, no matter where such the oscillation phenomenon appears, it has always lead to clear advances in the understanding of the fundamental interactions governing the behaviour of fields and particles.Conversely, from a theoretical point of view, we know that the Standard Model (SM), whereas it can account for oscillations in the aforementioned hadronic systems, cannot explain neutrino masses, as the latter are, by construction, absent in it. Hence, some Beyond the SM (BSM) physics ought to be invoked to accommodate neutrino oscillations. Further, if one recalls the so-called hierarchy problem of the SM, its inability to provide a candidate for Dark Matter (DM), its failure to explain the matter-antimatter asymmetry in the Universe and the lack of gauge coupling unification at any scale in it, a natural way forward in the quest to formulate a viable BSM scenario is to adopt Supersymmetry (SUSY), which can remedy at once all such flaws. In fact, SUSY can also easily co-exists with constraints emerging from the hadronic and leptonic sectors, when it comes to incorporate oscillation phenomena.The simplest realisation of SUSY is the Minimal Supersymmetric Standard Model (MSSM), whereby the gauge structure of the SM is maintained and the matter spectrum is limited to the most economical structure able to ensure anomaly cancellations, which corresponds to the adoption of an additional Higgs doublet field (with respect to the SM) and the Supersymmetrisation of all ensuing Higgs/gauge boson and fermion fie...

We study vacuum stability of B − L extension of the Standard Model (SM) and its supersymmetric version. We show that the generation of non-vanishing neutrino masses through TeV inverse seesaw mechanism leads to a cutoff scale of SM Higgs potential stability of order 10 5 GeV. However, in the non-supersymmetric B − L model, we find that the mixing between the SM-like Higgs and the B − L Higgs plays a crucial role in alleviating the vacuum stability problem. We also provide the constraints of stabilizing the Higgs potential in the supersymmetric B − L model.