85,050 research outputs found
The Noether numbers for cyclic groups of prime order
No full textThe Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants. We compute the Noether number for an arbitrary representation of a cyclic group of prime order, and as a consequence prove the "2p?3 conjecture.
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Search for Z{prime} and W{prime} at CDF
No full textWe have searched for heavy neutral and charged gauge bosons via the decays Z{prime} {yields} ee and W{prime} e{nu} in {bar p}p collisions at {radical}s = 1.8 TeV. The data were obtained using the CDF detector during 1992--1993 run corresponding to an integrated luminosity of 19.7{plus_minus}0.7 pb{sup {minus}1}. We present a 95% confidence level upper limit on the production cross section times branching ratio of Z{prime} and W{prime} as a function of Z{prime} and W{prime} mass. Assuming Standard Model coupling strengths, we exclude a Z{prime} with mass less than 505 GeV/c{sup 2} and a W{prime} with mass less than 652 GeV/c . We also present lower mass limits for Z{prime} bosons from E{sub 6} models and the Alternative Left-Right Model
Prime numbers in logarithmic intervals
No full textLet be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type , where is a prime number and h=\odi{X}. Then we will apply this to prove that for every there exists a positive proportion of primes such that the interval contains at least a prime number. As a consequence we improve Cheer and Goldston's result on the size of real numbers with the property that there is a positive proportion of integers such that the interval contains no primes. We also prove other results concerning the moments of the gaps between consecutive primes and about the positive proportion of integers such that the interval contains at least a prime number. The last application of these techniques are two theorems (the first one unconditional and the second one in which we assume the validity of the Riemann Hypothesis and of a form of the Montgomery pair correlation conjecture) on the positive proportion of primes such that the interval contains no prime
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Extraction of Z{prime} coupling data from Z{prime} {yields} jj at the LHC and SSC
No full textA recent analysis has shown that it may be possible at the SSC to extract information about Z{prime} couplings via the decay Z{prime} {yields} jj. This technique was found to be useful for some extended electroweak models provided the Z{prime} is relatively light. In the present paper, the authors generalize this procedure to the LHC and to Z{prime}`s which are more massive than 1 TeV
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Search for W prime and Z prime at CDF
No full textWe have searched for heavy charged and neutral vector bosons via the decays W{prime} {yields} ev, W{prime} {yields} {mu}v, Z{prime} {yields} {mu}{mu} in p{bar p} collisions at {radical}s = 1.8 TeV, using data taken with the collider Detector at Fermilab. The nonobservation of these processes leads to a lower limit (95% confidence level) of 520 GeV/c{sup 2} on the mass of the W{prime} and of 412 GeV/C{sup 2} on the mass of the Z{prime}, assuming standard model coupling to fermions. 12 refs., 6 figs., 1 tab
On the dynamics of the Furuta pendulum
No full textThe Furuta pendulum, or rotational inverted pendulum, is a system found in many control labs. It provides a compact yet impressive platform for control demonstrations and draws the attention of the control community as a platform for the development of nonlinear control laws. Despite the popularity of the platform, there are very few papers which employ the correct dynamics and only one that derives the full system dynamics. In this paper, the full dynamics of the Furuta pendulum are derived using two methods: a Lagrangian formulation and an iterative Newton-Euler formulation. Approximations are made to the full dynamics which converge to the more commonly presented expressions. The system dynamics are then linearised using a Jacobian. To illustrate the influence the commonly neglected inertia terms have on the system dynamics, a brief example is offered.Benjamin Seth Cazzolato and Zebb Prim
(Z)-2′-((Adamantan-1-yl)thio)-1,1′-dimethyl-2′,3′-dihydro-[2,4′-biimidazolylidene]-4,5,5′(1H,1′H,3H)-trione
No full textThe title compound, (Z)-2′-((adamantan-1-yl)thio)-1,1′-dimethyl-2′,3′-dihydro-[2,4′-biimidazolylidene]-4,5,5′(1H,1′H,3H)-trione, was found to be a by-product of the reaction of 1,3-dehydroadamantane with 3-methyl-2-thioxoimidazolidin-4-one and characterized via single-crystal X-ray diffraction
Global Analysis of Leptophilic Bosons
No full textNew neutral heavy gauge bosons (Z′) are predicted within many extensions of the Standard Model. While in case they couple to quarks the LHC bounds are very stringent, leptophilic Z′ bosons (even with sizable couplings) can be much lighter and therefore lead to interesting quantum effects in precision observables (like (g − 2)μ) and generate flavour violating decays of charged leptons. In particular, decays, anomalous magnetic moments of charged leptons, ℓ → ℓ′γ and ℓ → 3ℓ′ decays place stringent limits on leptophilic Z′ bosons. Furthermore, in case of mixing Z′ with the SM Z, Z pole observables are affected. In light of these many observables we perform a global fit to leptophilic Z′ models with the main goal of finding the bounds for the Z′ couplings to leptons. To this end we consider a number of scenarios for these couplings. While in generic scenarios correlations are weak, this changes once additional constraints on the couplings are imposed. In particular, if one considers an L− L symmetry broken only by left-handed rotations, or considers the case of τ − μ couplings only. In the latter setup, on can explain the (g − 2) anomaly and the hint for lepton flavour universality violation in without violating bounds from electroweak precision observables.New neutral heavy gauge bosons () are predicted within many extensions of the Standard Model. While in case they couple to quarks the LHC bounds are very stringent, leptophilic bosons (even with sizable couplings) can be much lighter and therefore lead to interesting quantum effects in precision observables (like ) and generate flavour violating decays of charged leptons. In particular, decays, anomalous magnetic moments of charged leptons, and decays place stringent limits on leptophilic bosons. Furthermore, in case of mixing with the SM , pole observables are affected. In light of these many observables we perform a global fit to leptophilic models with the main goal of finding the bounds for the couplings to leptons. To this end we consider a number of scenarios for these couplings. While in generic scenarios correlations are weak, this changes once additional constraints on the couplings are imposed. In particular, if one considers an symmetry broken only by left-handed rotations, or considers the case of couplings only. In the latter setup, on can explain the anomaly and the hint for lepton flavour universality violation in without violating bounds from electroweak precision observables
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SDC hadronic mass resolutions in Z and Z{prime} decays
No full textIn order to investigate the performance as a function of calorimeter characteristics, events were simulated in the SDC detector for Z and Z{prime} (m{sub Z}{prime} = 1TeV) production at two different P{sub T} values (50GeV/c and 500GeV/C). This initial study concentrated on the effects of clustering (including jet fragmentation fluctuations and contributions from underlying events), segmentation and calorimeter energy resolution. These studies were intended to explore the capabilities of the SDC detector for reconstruction of hadronic decays of massive particles (Z mass or greater). We find that detector-independent contributions dominate the mass resolution for the range of parameters being considered by SDC
Some properties of Z-small prime modules
No full textLet R be a commutative ring with identity, and H be a unital (left) E-module. In this paper, we give a new properties of Z-small modules. Where an E-module H is a Z-small prime module if and only if ann H = ann K, for every non-zero submodule K of H such that K ≪_Z H. Where a submodule K of an E-module H is called Z-small (briefly K ≪ _Z H) if K+B=H with B ⊇ Z_2 (E) and B is a submodule of H, then B =H. Among of these properties if H is finitely generated faithful multiplication E-module, then H is a small Z-small prime E-module if and only if E is a Z-small prime ring. Also, we prove that an E-module H is a Z-small prime if and only if E-module the E-module E / (ann H) is cogenerated by every non-trivial Z-small submodule of H
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