Infrared Quasi Fixed Points and Mass Predictions in the MSSM II: Large tan(beta) Scenario

We consider the infrared quasi fixed point solutions of the renormalization group equations for the Yukawa couplings and soft supersymmetry breaking parameters in the MSSM in the \underline{large $\tan\beta$} regime. The existence of IR quasi fixed points together with the values of gauge couplings, third generation quarks, lepton and Z-boson masses allows one to predict masses of the Higgs bosons and SUSY particles as functions of the only free parameter, $m_{1/2}$, or the gluino mass. The lightest Higgs boson mass for $M_{SUSY} \approx 1$ TeV is found to be $m_h=128.2-0.4-7.1 \pm 5$ GeV for $\mu>0$ and $m_h=120.6-0.1-3.8 \pm 5$ GeV for $\mu<0$.Comment: 15 pages, LateX file with 4 eps figures, corrected numbers, new column in table, last versio

Anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time and uniaxial small-scale anisotropy

The influence of uniaxial small-scale anisotropy on the stability of the scaling regimes and on the anomalous scaling of the structure functions of a passive scalar advected by a Gaussian solenoidal velocity field with finite correlation time is investigated by the field theoretic renormalization group and operator product expansion within one-loop approximation. Possible scaling regimes are found and classified in the plane of exponents $\epsilon-\eta$, where $\epsilon$ characterizes the energy spectrum of the velocity field in the inertial range $E\propto k^{1-2\epsilon}$, and $\eta$ is related to the correlation time of the velocity field at the wave number $k$ which is scaled as $k^{-2+\eta}$. It is shown that the presence of anisotropy does not disturb the stability of the infrared fixed points of the renormalization group equations which are directly related to the corresponding scaling regimes. The influence of anisotropy on the anomalous scaling of the structure functions of the passive scalar field is studied as a function of the fixed point value of the parameter $u$ which represents the ratio of turnover time of scalar field and velocity correlation time. It is shown that the corresponding one-loop anomalous dimensions, which are the same (universal) for all particular models with concrete value of $u$ in the isotropic case, are different (nonuniversal) in the case with the presence of small-scale anisotropy and they are continuous functions of the anisotropy parameters, as well as the parameter $u$. The dependence of the anomalous dimensions on the anisotropy parameters of two special limits of the general model, namely, the rapid-change model and the frozen velocity field model, are found when $u\to \infty$ and $u\to 0$, respectively.Comment: revtex, 25 pages, 37 figure

Influence of helicity on scaling regimes in the extended Kraichnan model

We have investigated the advection of a passive scalar quantity by incompressible helical turbulent flow in the frame of extended Kraichnan model. Turbulent fluctuations of velocity field are assumed to have the Gaussian statistics with zero mean and defined noise with finite time-correlation. Actual calculations have been done up to two-loop approximation in the frame of field-theoretic renormalization group approach. It turned out that space parity violation (helicity) of turbulent environment does not affect anomalous scaling which is peculiar attribute of corresponding model without helicity. However, stability of asymptotic regimes, where anomalous scaling takes place, strongly depends on the amount of helicity. Moreover, helicity gives rise to the turbulent diffusivity, which has been calculated in one-loop approximation.Comment: 16 pages, talk given by M. Hnatich at "Renormalization Group 2005", Helsinki, Finland 30 August - 3 September 2005. To apear in J. Phys. A: Math. Ge

Infrared Quasi Fixed Points and Mass Predictions in the MSSM

We consider the infrared quasi-fixed point solutions of the renormalization group equations for the top-quark Yukawa coupling and soft supersymmetry breaking parameters in the MSSM. The IR quasi-fixed points together with the values of the gauge couplings, the top-quark and Z-boson masses allow one to predict masses of the Higgs bosons, the stop squarks and the lightest chargino as functions of the only free parameter $m_{1/2}$ or the gluino mass. The mass of the lightest Higgs boson for $\mu>0$ and $M_{SUSY} \approx 1$ TeV is found to be $m_h=(94.3+1.6+0.6\pm5\pm0.4)$ GeV. The case with $\mu<0$ is excluded by experimental data.Comment: 17 pages, LateX file with 13 eps figures, Corrected version, references are added. Final version to be published in Modern Physics Letters

A general formula for analytic reduction of multi-loop tensor Feynman integrals

AbstractWe prove a general formula for analytic reduction of tensor integrals which appear in calculations of multi-loop Feynman diagrams in quantum field theory models

Presence of the weak ferromagnetism in pure antiferromagnetic systems with octahedral structure: Effective field theory analysis

The recently reported (Jurčišinová E. and Jurčišin M

Prediction of the existence of an intermediate phase in the antiferromagnetic J

The structure o f the phase diagram of the antiferromagnetic ${\text{spin-}}1/2$ Ising model with the presence of the nearest-neighbor and next-nearest-neighbor interactions on the face-centered cubic lattice is investigated in detail in the framework of the recursive lattice approximation. The existence of an additional well-defined intermediate phase is predicted that separates two standard antiferromagnetic phases of the model. This new phase is realized in the form of a narrow strip in the phase diagram but can be observed for a rather large interval of the frustration parameter of the model. Moreover, analyzing the sublattice magnetization properties of the model, it is shown that transitions between all model phases have the second-order nature. All predicted series of successive phase transitions of the model caused by the presence of the intermediate phase are studied

Automatyzacja pomiarów ciśnienia wewnątrzbrzusznego

The article deals with the design of capacitive pressure sensor for automated measurement of intra-abdominal pressure by a non-invasive method. A capacitive pressure sensor consists of a glass tube with evaporated thin film electrodes. The capacity change is given by the level change of displaced fluid in the tube. For capacitive sensors with different inner diameter of tubes calibration curves were experimentally found. A capacitive sensor is a subpart of an automated measuring system for clinical application of intra-abdominal pressure measurement.Artykuł dotyczy budowy pojemnościowych czujników ciśnienia do automatycznego pomiaru ciśnienia wewnątrzbrzusznego metodą nieinwazyjną. Pojemnościowy czujnik cieśnienia składa się ze szklanej rurki z naparowanymi cienkowarstwowymi elektrodami. Zmiana pojemności objawia się przez zmianę poziomu przemieszczonej cieczy w rurce. Wyznaczono doświadczalnie krzywe wzorcowania dla czujników ciśnienia z różnymi średnicami wewnętrznymi rurek. Czujnik pojemnościowy jest podzespołem automatycznego układu pomiarowego w klinicznym zastosowaniu pomiaru ciśnienia wewnątrzbrzusznego

The sensitivity of a photogrammetric method in formability analysis

Nowadays is a possible to implement numerical simulation and photogrammetric inspection to the complex process chain of in-spection. In the recent years there has been significant progress in accuracy improving of these methods of inspection in pre-production or post-production stage of manufacturing. This article discusses these two methods from sensitivity and comparison point of view. Most attention has been paid to the photogrammetric method and his sensitivity to using different approaches. Results were compared with the result of numerical simulation and experiment. Numerical simulation was performed in static implicit finite element code Autoform. For this purpose, GPS cover of galvanized steel of DQ category was used for inspection. In this paper was proved that photogrammetric method of strain measurement is highly sensitive on the various external factors. Further results and findings are included in the next chapters of this paper