Unusual Higgs boson signal in R-parity violating nonminimal supersymmetric models at the LHC
We predict an unconventional background free signal of the Higgs boson in $R$-parity violating nonminimal supersymmetric models at the Large Hadron Collider (LHC). The signal comprises dilepton plus four hadronic jets and two large displaced vertices. The displaced leptons and jets are coming from the decay of the lightest supersymmetric particle (LSP), which is predominantly a gauge-singlet neutrino. A pair of such LSPs can couple to a Higgs boson, created via gluon fusion. We have analyzed two cases - one corresponding to the tree-level Higgs boson mass and another with the one-loop corrected mass of the Higgs boson. A reliable Higgs mass reconstruction using this signal can lead to discovery at the LHC with center-of-mass energy $\sqrt{s}=14~\rm{TeV}$ and 5 fb$^{-1}$ of integrated luminosity $(\mathcal{L})$. Even at $\sqrt{s}=7~\rm{TeV}$ and $\mathcal{L}$ = 5 fb$^{-1}$, a reasonable number of events are expected. Besides, mass reconstruction of a gauge-singlet LSP can provide an estimate of the seesaw scale.

title: Production of two higgses at the Large Hadron Collider in CP-violating MSSM
abstract: A bstractProduction of two Higgs bosons is studied in a CP violating supersymmetric scenario at the Large Hadron Collider with Ecm = 14 TeV. There exists a region where a very light Higgs ≲ 50 GeV could not be probed by LEP experiment. This leads to so called ’LEP hole’ region. Recently LHC found a Higgs boson around ~ 125 GeV, which severely constrains the possibility of having lighter Higgs bosons, which cannot be detected, i.e., buried Higgs, in this model. We investigate the possibility of buried Higgs bosons along with the direct and indirect bounds coming from LEP, LHC and other experiments. In particular we take into account the constraints from EDM and from B-observables. We analyse first the case where a Higgs boson mass is around 125 GeV and the other two Higgs masses are below 100 GeV and not observed so far. In the second case the lightest Higgs boson mass is around 125 GeV and the other two are decoupled. We analyse the production of two Higgses and their decay modes leading to various final states for these benchmark points. We perform a collider simulation with PYTHIA and Fastjet where we consider all the major backgrounds. Among the final states we have analysed, we find that 2b + 2τ is promising and the signal significance is 5σ at an integrated luminosity ≲ 10 fb−1. For some benchmark points it is also possible to observe the light Higgs mass peak. We also explore the leptonic final state which could be instrumental in the precision measurement of a very light Higgs.

title: Lambda‐Nucleon Potential on the Basis of Structural Configuration

title: A geometrical formulation of Abelian gauge structure in non‐Abelian gauge theories and disconnected gauge group
abstract: A geometrical formalism of non‐Abelian gauge theory with a topological term is constructed here with special reference to the role of Abelian gauge structures in non‐Abelian theories. It is shown that when fermionic currents are written in chiral forms, we can take into account the disconnected gauge group which helps us to formulate a non‐Abelian gauge structure so that the theory becomes asymptotically free.

title: Dilepton production phenomena in high energy hadronic collisions
abstract: Experiments over the last few years have given rise to a blizzard of new and interesting results with regard to the production of various dileptons in high energy hadronic collisions. An attempt has here been made on the basis of some new ideas about the structure of hadrons and thus on a newly proposed version of the multiple production model to explain some of the crucial features in connection with the various multiplicity--ratios, cross--section ratios and the average values of the transverse momenta of the produced dileptons. In the backdrop of the hadron--hadron and lepton--hadron collisions, the model for dilopton production proposed here has some degree of generality which is one of its main features.

title: Half orbital angular momentum and Lorentz invariance in an anisotropic space
abstract: The possible existence of half orbital angular momentum is studied in the context of an anisotropic microlocal space--time. It is shown that through l = 1/2 poses serious problems in an isotropic space, that is acceptable in an anisotropic space and is of relevance in determining the internal symmetry of hadrons. A crucial feature of l = 1/2 in such a space is that l/sub z/ is a conserved quantity and though L/sup 2/ is not a good operator, J/sup 2/ = (L+1/2/sup a/)/sup 2/ is an 0(3) invariant where -1/2(a x r) = ..mu.. is the measure of anisotropy given by the commutation of linear momentum components. It is pointed out that when the angular momentum operator is modified so that we have a 'conserved angular momentum' in this space, the system resembles the motion of a charged particle in the field of a magnetic monopole or a top motion. An oscillator representation of this formalism has been develo

title: Dual parton model, lepton-hadron relation and deep inelastic neutrino-nucleon scattering
abstract: Recently it has been suggested that nucleons are composed of pointlike constituents (partons) and the scaling phenomena observed in deep inelastic electron-proton scattering data are explained by considering that, in the infinite-momentum frame, the proton is Lorentz-contracted into a thin pancake and the lepton scatters instantaneously and incoherently. Again, to have a uniform picture of the particle spectrum and also to explain certain aspects of weak interactions, a certain type of lepton-hadron relation is solicited (~). Indeed, recent at tempts to unify weak and electromagnetic interactions (2) also tempt us to probe the interdependence of the lepton and the hadron. Thus it is tempting to consider leptons as partons. But the main difficulty there is that we should have a proper interpretat ion of the internal quantum numbers like isospin, strangeness and baryon number, and also we will have to formulate the proper dynamics of strong interactions. In a recent paper (a), BANDYOPAD~YAY has shown that the internal quantum numbers as well as the classification and mass spectrum of hadrons can be interpreted when it is assumed that the constituents move in a self-consistent field with orbital momentum 89 and the two components + 89 and -89 represent particles and antiparticles. Also, to interpret strong interactions, it has been suggested that any two spin89 constituents in a hadron form a ~:-meson cluster in the structure of hadrons and the strong interaction actually involves the interaction of this ~-meson with the incident hadron (4). Indeed, we have shown that in this model of strong