Effect of earth rotation on pair production of Standard Model Higgs bosons at linear colliders in the noncommutative space-time

We study the neutral Higgs boson pair production through $e^{+} e^{-}$ collision in the noncommutative(NC) extension of the standard model using the Seiberg-Witten maps of this to the first order of the noncommutative parameter $\Theta_{\mu \nu}$. This process is forbidden in the standard model at the tree level with background space-time being commutative. After including the effects of earth's rotation we analyse the time-averaged cross section of the pair production of Higgs boson (in the light of LEP II and LHC data) at the future Linear Collider which can be quite significant for the NC scale $\Lambda$ lying in the range $0.3 - 1.0$ TeV. For the 125 GeV Higgs mass(the most promising value of Higgs mass as reported by LHC), we find the NC scale as $330 \rm{GeV}$ $\le \Lambda \le 660 \rm{GeV}$ and using $m_h = 129(127.5) \rm{GeV}$ (the lower threshold value of the excluded region of $m_h$ reported by ATLAS(CMS) collaborations of LHC), we find the bound on $\Lambda$ as: (i) $339 (336) \rm{GeV} \le \Lambda \le 677 (670) \rm{GeV}$ corresponding to the Linear Collider energy $E_{com} = 500 \rm{GeV}$.Comment: 20 pages, 16 eps figures. arXiv admin note: substantial text overlap with arXiv:1009.357

Financial Innovation and Stability of Money Demand Function in Post–reform period in India

Innovation in financial sector, financial reforms and changes in the policy environment are the factors responsible for instability in the money demanded in an economy. The dawn of 1991 balance of payment crisis in India brought much needed reforms in the economy and financial sector and triggered financial innovation fueled with revolution in information technology world wide and in India. In this backdrop this paper attempts to take a meticulous look on stability of money demand in India with quarterly data for 1996–97:1–2009–10:3 period. Based on Gregory–Hansen (1996) method of co–integration estimation the analysis confirms that in contrast to most of the previous studies, money demand function in India is not stable in the post reform period.Financial Innovation, Money Demand, Co–integration with Structural Break, Stability

Codes with Locality for Two Erasures

In this paper, we study codes with locality that can recover from two erasures via a sequence of two local, parity-check computations. By a local parity-check computation, we mean recovery via a single parity-check equation associated to small Hamming weight. Earlier approaches considered recovery in parallel; the sequential approach allows us to potentially construct codes with improved minimum distance. These codes, which we refer to as locally 2-reconstructible codes, are a natural generalization along one direction, of codes with all-symbol locality introduced by Gopalan \textit{et al}, in which recovery from a single erasure is considered. By studying the Generalized Hamming Weights of the dual code, we derive upper bounds on the minimum distance of locally 2-reconstructible codes and provide constructions for a family of codes based on Tur\'an graphs, that are optimal with respect to this bound. The minimum distance bound derived here is universal in the sense that no code which permits all-symbol local recovery from $2$ erasures can have larger minimum distance regardless of approach adopted. Our approach also leads to a new bound on the minimum distance of codes with all-symbol locality for the single-erasure case.Comment: 14 pages, 3 figures, Updated for improved readabilit