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It was recently proposed to extend the Standard Model by means of new spin-1 chiral $Z^*$ and $W^{*pm}$ bosons with the internal quantum numbers of the electroweak Higgs doublets. These bosons have unique signatures in transverse momentum, angular an d pseudorapidity distributions of the final leptons, which allow one to distinguish them from other heavy resonances. With 40 pb$^{-1}$ of the LHC proton-proton data at the energy 7 TeV, the ATLAS detector was used to search for narrow resonances in the invariant mass spectrum of $e^+e^-$ and $mu^+mu^-$ final states and high-mass charged states decaying to a charged lepton and a neutrino. From the search exclusion mass limits of 1.15 TeV$/c^2$ and 1.35 TeV$/c^2$ were obtained for the chiral neutral $Z^*$ and charged $W^*$ bosons, respectively. These are the first direct limits on the $W^*$ and $Z^*$ boson production.
New strategy for resonance search in dijet events at the LHC is discussed. The main distribution used for a bump search is the dijet invariant mass distribution with appropriated cuts. The crucial cut, which is applied to maximize signal significance , is on (pseudo)rapidity difference between the two jets. This is due to the exponential growing of the QCD background contribution with this variable. Usually it is assumed that signal from almost all exotic models populates the central dijet rapidity region y_{1,2} ~ 0 and |y_1-y_2| ~ 0. By contrast, the excited bosons do not contribute into this region, but produce an excess of dijet events over the almost flat QCD background in chi = exp|y_1-y_2| away from this region. Therefore, different sets of cuts should be applied for new physics search depending on the searched resonance properties. In order to confirm the bump and reveal the resonance nature various angular distributions should be used in addition. In particular, for the excited bosons the special choice of parameters could lead to a dip in the centrality ratio distribution over the dijet invariant mass instead of a bump, expected in the most exotic models.
The resonance production of new chiral spin-1 bosons and their detection through the Drell--Yan process at the CERN LHC is considered. Quantitative evaluations of various differential cross-sections of the chiral bosons production are made within the CalcHEP package. The new neutral chiral bosons can be observed as a Breit--Wigner resonance peak in the invariant dilepton mass distribution, as usual. However, unique new signatures of the chiral bosons exist. First, there is no Jacobian peak in the lepton transverse momentum distribution. Second, the lepton angular distribution in the Collins-Soper frame for the high on-peak invariant masses of the lepton pairs has a peculiar swallowtail shape.
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