Unparticle as a field with continuously distributed mass

We point out that the notion of an unparticle, recently introduced by Georgi, can be interpreted as a particular case of a field with continuously distributed mass considered in ref.\cite{14}. We also point out that the simplest renormalizable extension of the $SU_c(3)\otimes SU_L(2)\otimes U(1)$ Standard Model is the extension with the replacement of the U(1) gauge propagator $\frac{1}{k^2} \to \frac{1}{k^2} + \int _0^{\infty}\frac{\rho(t)}{-t+k^2 +i\epsilon}dt$ with $\int_0^{\infty}\rho(t)dt < \infty$.Comment: 6 pages, added references, corrected typo

Influence of SU(2)⊗U(1)SU(2) \otimes U(1) singlet scalars on Higgs boson signal at LHC

We investigate a model of $SU(2) \otimes U(1)$ singlet scalars coupled to Standard Model. We point out that for the case of maximal mixing between singlet scalars and standard Higgs boson the Higgs boson production cross section is smaller than the standard Higgs boson production by factor $\frac{1}{N+1}$, where N is the number of singlet scalar scalars. For the case of big mixing Higgs boson could be nonobservable at LHC. However, there is also a possibility for the observation of scalar singlets at LHC. As a quasirealistic example we discuss a supersymmetric $SU(2) \otimes U(1)$ electroweak model with an additional gauge singlet chiral superfield.Comment: 9 pages, latex, no figure

Invisible KLK_L decays as a probe of new physics

The decay $K_L \to invisible$ has never been experimentally tested. In the Standard Model (SM) its branching ratio for the decay into two neutrinos is helicity suppressed and predicted to be $Br(K_L \to \nu \bar{\nu}) \lesssim 10^{-10}$. We consider several natural extensions of the SM, such as two-Higgs-doublet (2HDM), 2HDM and light scalar, and mirror dark matter models, those main feature is that they allow to avoid the helicity suppression factor and lead to an enhanced $Br(K_L \to invisible)$. For the decay $K_L \to \nu \bar{\nu}$ the smallness of the neutrino mass in the considered 2HDM model is explained by the smallness of the second Higgs doublet vacuum expectation value. The small nonzero value of the second Higgs isodoublet can arise as a consequence of nonzero quark condensate. We show that taking into account the most stringent constraints from the $K \to \pi +invisible$ decay, this process could be in the region of $Br(K_L \to invisible) \simeq 10^{-8}-10^{-6}$, which is experimentally accessible. In some scenarios the $K_L \to invisible$ decay could still be allowed while the $K \to \pi +invisible$ decay is forbidden. The results obtained show that the $K_L \to invisible$ decay is a clean probe of new physics scales well above 100 TeV, that is complementary to rare $K \to \pi+invisible$ decay, and provide a strong motivation for its sensitive search in a near future experiment.Comment: 6 pages. Discussion and references adde

The search for new physics by the measurement of the 4-jet cross section at LHC and FNAL

We investigate the possibility to look for new physics by the measurement of the 4-jet cross section at LHC and FNAL. In particular, we consider the model with scalar colour octet and the supersymmetric model with R-parity violation. In both models pair produced new particles decay into 2 jets thus leading to 4-jet events. Therefore, the measurement of the distributions of 4-jet differential cross section on the invariant dijet masses allows to look for new physics. The main background comes from standard QCD 4-jet events. We find that at LHC it would be possible to discover scalar colour particles with masses up to 900 Gev and for FNAL the corresponding bound is 175 Gev.Comment: 14 pages, late