We studied the signatures at the LHC of the electroweak SU(2) lepton doublet which embeds a doubly charged lepton. The doubly charged lepton pair and single production rates, which are different from the triplet case, are studied and all the detectable decay modes are considered. We also applied the same kinematic cuts as in triplet case to reduce the background at LHC and the needed integrated luminosities to find the doubly charged leptons with different masses are analyzed. We also suggested a method to distinguish the exotic lepton doublet and triplet. PACS numbers: 14.60.Hi, 14.60.Pq, 14.60.St, 12.15.Ff
INTRODUCTIONAfter the discovery of the Higgs boson, the main goal of the LHC experiments is to discover signs of new physics. Searches based on the most popular models, like supersymmetry, in their incarnations that lead to easy-to-see signatures have lead so far to stronger and stronger bounds, without any sign of departure from the Standard Model predictions.In 2015, the LHC will end the two year technical pause and be restarted at a higher center of mass energy close to 14 TeV. The higher energy will allow the experiments to access higher mass scales, but also electroweak processes that gave too feeble cross sections to be detected during the 8 TeV run.In this paper, we will focus on one such case, where the new particles are new vectorlike leptons, whose mass is not generated by the Brout-Englert-Higgs mechanism. New (2) with hypercharge −1, or a doublet with hypercharge −3/2. The former case have been extensively studied in [10], thus we will here focus on the doublet which is predicted, for instance, in the model of Ref. [17]. After introducing the general parametrization of a model that is a simple extension of the standard model plus the new lepton doublet, we will present the results of the application of the searches studied in our previous work [11] to the doublet case, and discuss the prospects to distinguish the two representations at the LHC at 14 TeV.
THE MODELWe consider an effective model consisting of the Standard Model complemented with a new exotic un-colored doublet X with hypercharge Y X = −3/2:and we further assume that the doublet has both chiralities transforming in the same way.The most general lagrangian will therefore contain a gauge invariant mass term M 1 , and new Yukawa couplings to the standard model leptonswhere the flavor indices i, j span over the 3 standard generations, and L/R label the chirality of the fermion. We can now use the flavor symmetry in the standard chiral leptons to diagonalize the standard Yukawa matrix λ ij 1 , while an arbitrary phase redefinition of the new doublet components allows us to reabsorb the phase of M 1 and one of the three λ j 2 . After the Brout-Englert-Higgs doublet H develops its vacuum expectation value, the new Yukawa couplings induce a mixing between the new doublet and the standard chiral fermions:where the flavour index now labels i = e, µ, τ . In the charged lepton sector, the mass matrix is very similar to the one obtained in ...