A Search for the Higgs Boson in H->ZZ->2leptons 2jets Mode

A search for the Standard Model Higgs boson decaying to two Z bosons with subsequent decay to a final state with two leptons and two quark-jets, H->ZZ->2l 2jets, where \ell = e, {\mu}, is discussed. It is based on an integrated luminosity of 1 fb-1 of proton-proton collision data at center of mass energy sqrt(s) = 7 TeV collected by the CMS experiment at the LHC. The data are compared to the expected Standard Model backgrounds. No evidence for the Higgs boson is found and upper limits are placed on its production cross section over the range of masses between 200 GeV and 600 GeV.Comment: To appear in the Proceedings of the DPF 2011 Conferenc

Prospects for the first Top pair cross section measurement in the semileptonic and dilepton channels at CMS

Although the top quark has been discovered in 1995 and studied extensively by the Tevatron experiments, the top quark will remain special for years to come due to unique opportunities it offers. Because of the large top-antitop production cross section and high luminosity, the LHC would be a Top factory, producing a large sample of top quarks even at the initial low luminosities. This will enable a rich program of top quark physics to be explored, both within the Standard Model and using top quarks as probes of physics beyond the Standard Model. Prospects for the observation of top pair production in the proton-proton collisions at the center of mass energy $\sqrt{s}$=10 TeV in the dilepton and lepton+jets final state are discussed. The emphasis is put on analysis strategies for the early phase of CMS operation with data corresponding to integrated luminosities of 10-20 pb$^{-1}$ considering a realistic detector performance.Comment: 6 pages, To be published in the proceedings of the DPF-2009 Conference, Detroit, MI, July 2009, eConf 09072

Generalized Analogs of the Heisenberg Uncertainty Inequality

We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally compact group of type I), Euclidean Motion group and several general classes of nilpotent Lie groups which include thread-like nilpotent Lie groups, $2$-NPC nilpotent Lie groups and several low-dimensional nilpotent Lie groups

Some Efficient Solutions to Yao's Millionaire Problem

We present three simple and efficient protocol constructions to solve Yao's Millionaire Problem when the parties involved are non-colluding and semi-honest. The first construction uses a partially homomorphic Encryption Scheme and is a 4-round scheme using 2 encryptions, 2 homomorphic circuit evaluations (subtraction and XOR) and a single decryption. The second construction uses an untrusted third party and achieves a communication overhead linear in input bit-size with the help of an order preserving function.Moreover, the second construction does not require an apriori input bound and can work on inputs of different bit-sizes. The third construction does not use a third party and, even though, it has a quadratic communication overhead, it is a fairly simple construction.Comment: 17 page