National Institute of Technology, Silchar

About: National Institute of Technology, Silchar is a education organization based out in Silchar, Assam, India. It is known for research contribution in the topics: Control theory & Electric power system. The organization has 1934 authors who have published 4219 publications receiving 41149 citations. The organization is also known as: NIT Silchar.

B c → ( J / Ψ , η c ) τ ν semileptonic decays within the standard model and beyond

Abstract: Deviations from the standard model prediction have been observed not only in $b\ensuremath{\rightarrow}c$ charged current interactions but also in $b\ensuremath{\rightarrow}s$ flavor changing neutral current interactions. In particular, the deviation observed in the measured ratio of branching fractions ${R}_{D}=\mathcal{B}(B\ensuremath{\rightarrow}D\ensuremath{\tau}\ensuremath{ u})/\mathcal{B}(B\ensuremath{\rightarrow}Dl\ensuremath{ u})$ and ${R}_{{D}^{*}}=\mathcal{B}(B\ensuremath{\rightarrow}{D}^{*}\ensuremath{\tau}\ensuremath{ u})/\mathcal{B}(B\ensuremath{\rightarrow}{D}^{*}l\ensuremath{ u})$, where $l=(e,\ensuremath{\mu})$, is more pronounced and the combined excess currently stands at a $3.9\ensuremath{\sigma}$ level. If it persists and is confirmed by future experiments, it would be a definite hint of new physics. In this context, we consider ${B}_{c}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}l\ensuremath{ u}$ and ${B}_{c}\ensuremath{\rightarrow}J/\mathrm{\ensuremath{\Psi}}l\ensuremath{ u}$ decays mediated via $b\ensuremath{\rightarrow}cl\ensuremath{ u}$ charged current interactions and employ an effective theory approach to give a prediction on various observables such as the ratio of the branching ratio, tau polarization fraction, and forward-backward asymmetry for these decay modes.

Statistical approximation by Kantorovich-type discrete q -Betaoperators

Abstract: The aim of the present paper is to introduce a Kantorovich-type modification of the q-discrete beta operators and to investigate their statistical and weighted statistical approximation properties. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz-type function are also established for operators. Finally, we construct a bivariate generalization of the operator and also obtain the statistical approximation properties. MSC: 41A25; 41A36