Search for the Standard Model Higgs Boson in ATLAS

The latest search for the Standard Model (SM) Higgs boson based on 4.7-4.9 fb-1 of pp collision data at sqrt(s)=7 TeV recorded with the ATLAS detector is presented here.Comment: To appear in the conference proceedings of XX International Workshop on Deep-Inelastic Scattering and Related Subjects, Bonn, Germany, 26 - 30 Mar 201

Searches for Beyond the Standard Model Higgs Bosons in ppbar collisions at sqrt{s}=1.96 TeV

The recent results on various Beyond the Standard Model (BSM) Higgs boson searches performed by the DZERO experiment at the Tevatron are presented here. In particular, the Higgs bosons in supersymmetric models and fermiophobic scenario have been investigated. No significant excess over the Standard Model (SM) expectations have been observed and accordingly limits have been established on the corresponding model parameters.Comment: To appear in the AIP conference proceedings for Susy09, the 17th International Conference on Supersymmetry and the Unification of Fundamental Interaction

Top Quark Decay Properties

Due to the large production cross-section, many of the top quark properties can be measured very precisely at the LHC. A very few recent results, probed only through the top quark decay vertices are presented here. These results are based on proton-proton collision datasets recorded by the ATLAS and CMS experiments at sqrt(s)=7, 8 and 13 TeV. All the measurements and observed limits are consistent with the Standard Model (SM) predictions, while strong bounds on anomalous Wtb couplings are established.Comment: conference proceedings for LHCP201

On some geometric properties of operator spaces

In this paper we study some geometric properties like parallelism, orthogonality and semi-rotundity in the space of bounded linear operators. We completely characterize parallelism of two compact linear operators between normed linear spaces $\mathbb{X}$ and $\mathbb{Y}$, assuming $\mathbb{X}$ to be reflexive. We also characterize parallelism of two bounded linear operators between normed linear spaces $\mathbb{X}$ and $\mathbb{Y}.$ We investigate parallelism and approximate parallelism in the space of bounded linear operators defined on a Hilbert space. Using the characterization of operator parallelism, we study Birkhoff-James orthogonality in the space of compact linear operators as well as bounded linear operators. Finally, we introduce the concept of semi-rotund points (semi-rotund spaces) which generalizes the notion of exposed points (strictly convex spaces). We further study semi-rotund operators and prove that $\mathbb{B}(\mathbb{X},\mathbb{Y})$ is a semi-rotund space which is not strictly convex, if $\mathbb{X},\mathbb{Y}$ are finite-dimensional Banach spaces and $\mathbb{Y}$ is strictly convex.Comment: 17 page