Studying top quark decay into the polarized W-boson in the TC2 model

We study the decay mode of top quark decaying into Wb in the TC2 model where the top quark is distinguished from other fermions by participating in a strong interaction. We find that the TC2 correction to the decay width $\Gamma (t \to b W)$ is generally several percent and maximum value can reach 8% for the currently allowed parameters. The magnitude of such correction is comparable with QCD correction and larger than that of minimal supersymmetric model. Such correction might be observable in the future colliders. We also study the TC2 correction to the branching ratio of top quark decay into the polarized W bosons and find the correction is below $1$. After considering the TC2 correction, we find that our theoretical predictions about the decay branching ratio are also consistent with the experimental data.Comment: 8 pages, 4 figure

Gravitational Corrections to Φ4\Phi^{4} Theory with Spontaneously Broken Symmetry

We consider a complex scalar $\Phi^4$ theory with spontaneously broken global U(1) symmetry, minimally coupling to perturbatively quantized Einstein gravity which is treated as an effective theory at the energy well below the Planck scale. Both the lowest order pure real scalar correction and the gravitational correction to the renormalization of the Higgs sector in this model have been investigated. Our results show that the gravitational correction renders the renormalization of the Higgs sector in this model inconsistent while the pure real scalar correction to it leads to a compatible renormalization.Comment: 11 pages, 24 figure

Hybridization-related correction to the jellium model for fullerenes

We introduce a new type of correction for a more accurate description of fullerenes within the spherically symmetric jellium model. This correction represents a pseudopotential which originates from the comparison between an accurate ab initio calculation and the jellium model calculation. It is shown that such a correction to the jellium model allows one to account, at least partly, for the sp2-hybridization of carbon atomic orbitals. Therefore, it may be considered as a more physically meaningful correction as compared with a structureless square-well pseudopotential which has been widely used earlier.Comment: 16 pages, 10 figure

The Anharmonic Correction in the Soliton Model for the Hyperons

We derive the anharmonic correction to the hyperon energy in the bound state version of the topological soliton model for the hyperons, and show that it represents a negative correction of at most 10% to the energy of the bound heavy flavour two-meson system in the case of cascade hyperons. The main anharmonic correction arises from the mass term in the Lagrangian density. For large meson masses the consistency of the model requires that the anharmonic correction decreases as the inverse square root of the mass of the heavy flavour meson.Comment: 19 page

The cause of axial rotation of the scoliotic spine

To explain the cause of axial rotation in a scoliotic vertebral column, the influence of the gravitation force on a spine with a C-scoliosis has been investigated by means of a mechanical model. In this model the gravitation force takes hold of the three-dimensionally curved vertebral column eccentrically. From these reflections it appears that the axial rotation in the scoliotic spine can be explained by the moment distribution caused by this eccentrical gravitation force. The moment distribution, necessary for correction of the spine, is supposed to be opposite to the moments caused by the gravitation force. The moment distribution caused by the Harrington and the Luque spinal correction systems are compared to the calculated optimum correction moments. It appears that the moment distribution for the Harrington and Luque methods, necessary for the correction of the lateral deviation, are almost the same as the calculated correction moments. But the axial rotation appears to be increasing instead of decreasing in both correction systems

Nonlinear error correction, asymmetric adjusment and cointegration

This paper has three main components. First, it outlines a model of nonlinear error correction (NEC) in which the linear error correction term a'Xt (the vector time series Xt is cointegrated, a is the cointegrating vector) is replaced by the nonlinear term g(a'X),ˇ where g(.) is a nonlinear function. Second, several types of asymmetries are discussed. The NEC model is shown to have an underlying structural model in the form of an adjustment cost model, with asymmetric adjustment costs. The implications for the NEC model of trending targets are explained. Third, it is shown that nonlinear error correction is present in a trivariate series of UK employment, wage, and capital stock

A film model for heat and mass transfer with fog formation

An analysis is presented of a binary film with fog formation and a negligible induced velocity (traditionally referred to as “Stefan—Nusselt flow”). The governing equations of energy diffusion, coupled with the saturation condition, are solved and analytical correction factors are derived. Subsequently, the “negligible induced velocity” (NIV) fog film model is applied to channel flow, yielding analytical expressions for the variation of bulk vapour mass fraction, bulk temperature, and the possible creation of bulk fog. Multiplying the NIV correction factor for fog only by the classical film model correction factors for induced velocity, reveals that the product corresponds to the film model correction factors for the combined effects of fog and induced velocity. Furthermore, a thorough comparison with theoretical and experimental results of foregoing two-dimensional studies, concerning fog formation in the presence of free and forced convection, confirms the accuracy of the present fog film model

Non-linear error correction, asymmetric adjustment and cointegration.

This article links the intertemporal choice model with the non-linear error correction (NEC) model. It has three main components. First, it outlines a model of non-linear error correction, in which the linear error correction term ?Xt (the vector time series Xt is cointegrated, is the cointegrating vector) is replaced by the non-linear term g(?Xt), where g(.) is a non-linear function. Second, several types of asymmetries and the existence of multiple equilibria are discussed. The implications for the NEC model of trending targets are also explained. Third, it is shown that non-linear error correction is present in a trivariate series of UK employment, wage and capital stock.Non-linear error correction; Asymmetric adjustment; Multiple equilibria; Intertemporal optimization;

Logarithmic correction in the deformed AdS5{\rm AdS}_5 model to produce the heavy quark potential and QCD beta function

We stude the \textit{holographic} QCD model which contains a quadratic term $-\sigma z^2$ and a logarithmic term $-c_0\log[(z_{IR}-z)/z_{IR}]$ with an explicit infrared cut-off $z_{IR}$ in the deformed ${\rm AdS}_5$ warp factor. We investigate the heavy quark potential for three cases, i.e, with only quadratic correction, with both quadratic and logarithmic corrections and with only logarithmic correction. We solve the dilaton field and dilation potential from the Einstein equation, and investigate the corresponding beta function in the G{\"u}rsoy -Kiritsis-Nitti (GKN) framework. Our studies show that in the case with only quadratic correction, a negative $\sigma$ or the Andreev-Zakharov model is favored to fit the heavy quark potential and to produce the QCD beta-function at 2-loop level, however, the dilaton potential is unbounded in infrared regime. One interesting observing for the case of positive $\sigma$, or the soft-wall ${\rm AdS}_5$ model is that the corresponding beta-function exists an infrared fixed point. In the case with only logarithmic correction, the heavy quark Cornell potential can be fitted very well, the corresponding beta-function agrees with the QCD beta-function at 2-loop level reasonably well, and the dilaton potential is bounded from below in infrared. At the end, we propose a more compact model which has only logarithmic correction in the deformed warp factor and has less free parameters.Comment: 24 pages, 16 figure