Single Top and Higgs Production in e−pe^- p collisions

In this proceedings some studies on the prospects of single top production at the Large Hadron Electron Collider (LHeC) and double Higgs production at the Future Circular Hadron Electron Collider (FCC-he) shall be presented. In particular, we investigated the $tbW$ couplings via single top quark production with the introduction of possible anomalous Lorentz structures, and measured the sensitivity of the Higgs self coupling ($\lambda$) through double Higgs production. The studies are performed with 60 GeV electrons colliding with 7 (50) TeV protons for the LHeC (FCC-he). For the single top studies a parton level study has been performed, and we find the sensitivity of the anomalous coupling at a 95\% C.L, considering 10-1\% systematic errors. The double Higgs production has been studied with speculated detector parameters and the sensitivity of $\lambda$ estimated via the cross section study around the Standard Model Higgs self coupling strength ($\lambda_{SM}$) considering 5\% systematic error in signal and backgrounds. Effects of non-standard CP-even and CP-odd couplings for $hhh$, $hWW$ and $hhWW$ vertices have been studied and constrained at 95\% C.L.Comment: 7 pages, 2 figures, submitted to the proceedings of the HEPP 2015 worksho

Eigenvalue monotonicity of qq-Laplacians of trees along a poset

Let $T$ be a tree on $n$ vertices with $q$-Laplacian $L_{T}^{q}$. Let $GTS_n$ be the generalized tree shift poset on the set of unlabelled trees with $n$ vertices. We prove that for all $q \in R$, going up on $GTS_n$ has the following effect: the spectral radius and the second smallest eigenvalue of $L_{T}^{q}$ increase while the smallest eigenvalue of $L_{T}^{q}$ decreases. These generalize known results for eigenvalues of the Laplacian. As a corollary, we obtain consequences about the eigenvalues of $q,t$-Laplacians and exponential distance matrices of trees

Silver plasmonic density tuned polarity switching and anomalous behaviour of high performance self-powered \b{eta}-gallium oxide solar-blind photodetector

Deep understanding of plasmonic nanoparticles (PNPs)-light interaction over semiconductors surface shows great promises in enhancing their optoelectronic devices efficiency beyond the conventional limit. However, PNP-light interaction critically decided by the distribution density of PNPs over the semiconductor surface which is not entirely understood. Here, a systematic study depicting how the interparticle gap between Silver (Ag) NPs influences the performance of the \b{eta}-Ga2O3 based solar-blind photodetector. Interestingly, a remarkable transition is observed, where the varied interparticle gap not only changes the polarity but also reverses the traditional photodetector behaviour. The positive transient response of bare \b{eta}-Ga2O3 photodetector with feeble DUV light switches its behaviour remarkably to 20 times enhance negative-photoresponse when decorated by sparsely-spaced Ag-PNPs with ultra-high responsivity of 107.47 A/W at moderate power and an incredible report-highest responsivity of 4.29 mA/W on single semiconducting \b{eta}-Ga2O3 layer at self-powered mode. Moreover, as the density of the Ag-PNPs was further increased, the photocurrent decreases with illumination which dynamically reverses the traditional photodetector to unnatural anomalous effect. In particular, our study represents the first demonstration of plasmonic tuning effect to two active dynamic switching modes; i.e. reverse switchable and anomalous behaviour, the fundamentals of which have not studied experimentally yet. Finally, we propose a unified well-explained model to rationalize all observed experimental trends while set-up fundamental basis for establishing potential applications.Comment: The manuscript is made of 22 pages with 5 figures and 1 tabl

A note on transformations on auxiliary variable in survey sampling

In this note, we address the doubts of Singh (2001) and Gupta and Shabbir (2008) on the transformations of auxiliary variables by adding unit free constants. The original contribution by Sisodia and Dwivedi (1981) is correct.Comment: 4 page

The production of the heavy scalar H in association with top and anti-top quarks

Following arXiv:1506.00612, an effective field theory approach has been introduced for two additional real scalars, $H$ and $\chi$, to study the associated Higgs boson ($h$) production with top quarks at the Large Hadron Collider with centre of mass energy $\sqrt s = 8$ TeV. In all studies, one benchmark scenario is considered where the parameters of the model are constrained for $m_H = 275$ GeV and $m_\chi = 60$ GeV. A comparative study has been performed for the production of the Higgs boson in association with a single top and top-pairs in the Standard Model with respect to the processes where $h$ is replaced with the heavy scalar $H$, which further decays via $H \to h \chi\chi$. The analysis has been performed at two stages where the top quarks are studied through a single-lepton channel firstly, and then in the second case with same-sign leptons, electrons or muons in di-lepton events. Different observables, like $b$ and $c$-tagged jet multiplicities, total missing energy, and total scalar sum of transverse momenta of all jets and leptons, has been studied.Comment: 6 pages, 3 figures, 4 tables, HEPP2017 conference proceedings, iThembaLAB, Wits, Johannesbur

Laplacian Immanantal polynomials and the GTS poset on Trees

Let $T$ be a tree on $n$ vertices with Laplacian $L_T$ and let $GTS_n$ be the generalized tree shift poset on the set of unlabelled trees on $n$ vertices. Inequalities are known for coefficients of the characteristic polynomial of $L_T$ as we go up the poset $GTS_n$. In this work, we generalize these inequalities to the $q$-Laplacian $L^q_T$ of $T$ and to the coefficients of all immanantal polynomials

A New Class of String Cosmological Models in Cylindrically Symmetric Inhomogeneous Universe

A new class of cylindrically symmetric inhomogeneous string cosmological models is investigated. To get the deterministic solution, it has been assumed that the expansion ($\theta$) in the model is proportional to the eigen value $\sigma^{1}_{1}$ of the shear tensor $\sigma^{i}_{j}$. The physical and geometric aspects of the model are also discussed.Comment: 14 pages. arXiv admin note: substantial text overlap with arXiv:0705.090

Cost Efficient Design of Reversible Adder Circuits for Low Power Applications

A large amount of research is currently going on in the field of reversible logic, which have low heat dissipation, low power consumption, which is the main factor to apply reversible in digital VLSI circuit design. This paper introduces reversible gate named as Inventive0 gate. The novel gate is synthesis the efficient adder modules with minimum garbage output and gate count. The Inventive0 gate capable of implementing a 4-bit ripple carry adder and carry skip adders.It is presented that Inventive0 gate is much more efficient and optimized approach as compared to their existing design, in terms of gate count, garbage outputs and constant inputs. In addition, some popular available reversible gates are implemented in the MOS transistor design the implementation kept in mind for minimum MOS transistor count and are completely reversible in behavior more precise forward and backward computation. Lesser architectural complexity show that the novel designs are compact, fast as well as low power.Comment: 9 pages, 12 figures, journa

Feasible methodology for optimization of a novel reversible binary compressor

Now a day reversible logic is an attractive research area due to its low power consumption in the area of VLSI circuit design. The reversible logic gate is utilized to optimize power consumption by a feature of retrieving input logic from an output logic because of bijective mapping between input and output. In this manuscript, we design 4 2 and 5 2 reversible compressor circuits using a new type of reversible gate. In addition, we propose new gate, named as inventive0 gate for optimizing a compressor circuit. The utility of the inventive0 gate is that it can be used as full adder and full subtraction with low value of garbage outputs and quantum cost. An algorithm is shown for designing a compressor structure. The comparative study shows that the proposed compressor structure outperforms the existing ones in terms of garbage outputs, number of gates and quantum cost. The compressor can reduce the effect of carry (Produce from full adder) of the arithmetic frame design. In addition, we implement a basic reversible gate of MOS transistor with less number of MOS transistor count.Comment: 13 pages, 9 figure

High order parameter-robust numerical method for a system of (M>=2) coupled singularly perturbed parabolic reaction-diffusion problems

We present a high order parameter-robust numerical method for a system of (M>=2) coupled singularly perturbed parabolic reaction-diffusion problems. A small perturbation parameter {\epsilon} is multiplied with the second order spatial derivatives in all the equations. The parabolic boundary layer appears in the solution of the problem when the perturbation parameter {\epsilon} tends to zero. To obtain a high order approximation to the solution of this problem, we propose a numerical method that employs the Crank-Nicolson method on an uniform mesh in time direction, together with a hybrid finite difference scheme on a generalized Shishkin mesh in spatial direction. We prove that the resulting method is parameter-robust or \epsilon-uniform of second order in time and almost fourth order in spatial variable, if the discretization parameters satisfy a non-restrictive relation. Numerical experiments are presented to validate the theoretical results and also indicate that the relation between the discretization parameters is not necessary in practice