5,120 research outputs found

    M\"{o}ller and Bhabha scattering in the noncommutative standard model

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    We study the M\"{o}ller and Bhabha scattering in the noncommutative extension of the standard model(SM) using the Seiberg-Witten maps of this to first order of the noncommutative parameter θμν\theta_{\mu \nu}. We look at the angular distribution dσ/dΩd\sigma/d\Omega to explore the noncommutativity of space-time at around ΛNC\Lambda_{NC} \sim TeV and find that the distribution deviates significantly from the one obtained from the commutative version of the standard model.Comment: 15 pages, 14 eps figures.Text is modified a little and version to appear in Phys.Rev.

    Comparison of Classification Algorithm for Crop Decision based on Environmental Factors using Machine Learning

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    Crop decision is a very complex process. In Agriculture it plays a vital role. Various biotic and abiotic factors affect this decision. Some crucial Environmental factors are Nitrogen Phosphorus, Potassium, pH, Temperature, Humidity, Rainfall. Machine Learning Algorithm can perfectly predict the crop necessary for this environmental condition. Various algorithms and model are used for this process such as feature selection, data cleaning, Training, and testing split etc. Algorithms such as Logistic regression, Decision Tree, Support vector machine, K- Nearest Neighbour, Navies Bayes, Random Forest. A comparison based on the accuracy parameter is presented in this paper along with various training and testing split for optimal choice of best algorithm. This comparison is done on two tools i.e., on Google collab using python and its libraries for implementation of Machine Learning Algorithm and WEKA which is a pre-processing tool to compare various algorithm of machine learning

    Synthesis of biologically active compounds of agricultural interest

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    A practical approach for the chiral synthesis of propargyl alcohols and hydroxyvinyl chlorides, making use of base induced elimination of chiral 2,3-epoxy chlorides is described and their utility in the synthesis of octadecenoids, viz., (S)-coriolic acid (I) and (S)-l5,16-didehydrocoriolic acid (V) the self-defensive substances in rice plant against rice blast disease, is discussed

    Texture of fermion mass matrices in partially unified theories

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    We investigate the texture of fermion mass matrices in theories with partial unification (for example SU(2)L×SU(2)R×SU(4)c SU(2)_L\times SU(2)_R\times SU(4)_c) at a scale 1012\sim 10^{12} GeV. Starting with the low energy values of the masses and the mixing angles, we find only two viable textures with atmost four texture zeros. One of these corresponds to a somewhat modified Fritzsch textures. A theoretical derivataion of these textures leads to new interesting relations among the masses and the mixing angles.Comment: 10 pages(Latex

    CP-Violation For BXsl+lB \to X_sl^+l^- Including Long-Distance Effects

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    We consider the CP violating effect for BXsl+lB\to X_sl^+l^- process, including both short and long distance effects. We obtain the CP asymmetry parameter and present its variation over the dilepton mass.Comment: 9 pages, Latex file, one figure include

    Low-loss singlemode PECVD silicon nitride photonic wire waveguides for 532-900 nm wavelength window fabricated within a CMOS pilot line

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    PECVD silicon nitride photonic wire waveguides have been fabricated in a CMOS pilot line. Both clad and unclad single mode wire waveguides were measured at lambda = 532, 780, and 900 nm, respectively. The dependence of loss on wire width, wavelength, and cladding is discussed in detail. Cladded multimode and singlemode waveguides show a loss well below 1 dB/cm in the 532-900 nm wavelength range. For singlemode unclad waveguides, losses < 1 dB/cm were achieved at lambda = 900 nm, whereas losses were measured in the range of 1-3 dB/cm for lambda = 780 and 532 nm, respectively

    Constraints on the phase γ\gamma and new physics from BKπB\to K\pi Decays

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    Recent results from CLEO on BKπB\to K\pi indicate that the phase γ\gamma may be substantially different from that obtained from other fit to the KM matrix elements in the Standard Model. We show that γ\gamma extracted using BKπ,ππB\to K\pi, \pi\pi is sensitive to new physics occurring at loop level. It provides a powerful method to probe new physics in electroweak penguin interactions. Using effects due to anomalous gauge couplings as an example, we show that within the allowed ranges for these couplings information about γ\gamma obtained from BKπ,ππB\to K \pi, \pi\pi can be very different from the Standard Model prediction.Comment: Revised version with analysis done using new data from CLEO. RevTex, 11 Pages with two figure

    On landmark selection and sampling in high-dimensional data analysis

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    In recent years, the spectral analysis of appropriately defined kernel matrices has emerged as a principled way to extract the low-dimensional structure often prevalent in high-dimensional data. Here we provide an introduction to spectral methods for linear and nonlinear dimension reduction, emphasizing ways to overcome the computational limitations currently faced by practitioners with massive datasets. In particular, a data subsampling or landmark selection process is often employed to construct a kernel based on partial information, followed by an approximate spectral analysis termed the Nystrom extension. We provide a quantitative framework to analyse this procedure, and use it to demonstrate algorithmic performance bounds on a range of practical approaches designed to optimize the landmark selection process. We compare the practical implications of these bounds by way of real-world examples drawn from the field of computer vision, whereby low-dimensional manifold structure is shown to emerge from high-dimensional video data streams.Comment: 18 pages, 6 figures, submitted for publicatio

    CLEO measurement of Bπ+πB \to \pi^+ \pi^- and determination of weak phase α\alpha

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    The CLEO collaboration has recently reported a (first) measurement of BR(Bπ+π)=(4.71.5+1.8±0.6)×106BR (B \to \pi^+ \pi^-) = (4.7^{+1.8}_{-1.5} \pm 0.6) \times 10^{-6}. We study, using recent results on QCD improved factorization, the implications of this measurement for the determination of the CKM phase α\alpha and also for the rate for Bπ0π0B \to \pi^0 \pi^0. If the BπB \to \pi^- form factor is large (>0.3)(\stackrel{>}{\sim} 0.3), then we find that the CLEO measurement favors small Vub/Vcb|V_{ub}/V_{cb}| so that the expected error (due to neglecting the QCD penguin amplitude) in the measurement of α\alpha using {\em only} the time-dependent analysis of the decay Bπ+πB \to \pi^+ \pi^- is large 15\sim 15^{\circ}. However, if Vub/Vcb|V_{ub}/V_{cb}| is known, then it is possible to determine the correct value of sin2α\sin 2 \alpha.Comment: LaTeX file, 14 pages including 5 eps figures. Revised version with a slightly modified title. In the new version, we use QCD improved factorization. For the value of form factor used earlier, the conclusion that small Vub/Vcb is preferred leading to large error in alpha is unchanged. We have added results for a smaller value of the form factor. We also show that if Vub/Vcb is known, then it is possible to determine the correct value of sin 2 alpha. Typos correcte
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