Are supersymmetric models with minimal particle content under tension for testing at LHC?

In supersymmetric models with minimal particle content and without large left-right squarks mixing, the conventional knowledge is that the Higgs Boson mass around 125 GeV leads to top squark masses ${\cal O}(10)$ TeV, far beyond the reach of colliders. Here, we pointed out that this conclusion is subject to several theoretical uncertainties. We find that electroweak symmetry breaking and evaluation of Higgs mass at a scale far away from the true electroweak symmetry breaking scale introduce a large uncertainty in Higgs mass calculation. We show that the electroweak symmetry breaking at the scale near the true vacuum expectation value of Higgs field can increase the Higgs Boson mass about 4-5 GeV and can lower the bounds on squarks and slepton masses to 1 TeV. Here we pointed out that the Higgs mass even with inclusion of radiative corrections can vary with electroweak symmetry breaking scale. We calculate it at two loop level and show that it varies substantially. We argue that Higgs mass like other coupling parameters can vary with energy scale and the Higgs potential with all orders loop corrections is scale invariant. This uncertainty to the Higgs mass calculation due to electroweak symmetry breaking around the supersymmetry breaking scale, normally taken as $\sqrt{m_{\tilde t_L} m_{\tilde t_R}}$, to minimize the 1-loop radiative corrections can be removed if one considers all significant radiative contributions to make Higgs potential renormalization group evolution scale invariant and evaluates electroweak symmetry breaking at the scale near the electroweak symmetry breaking scale. A large parameter space becomes allowed when one considers electroweak symmetry breaking at its true scale not only for producing correct values of the Higgs masses, but also for providing successful breaking of this symmetry in more parameter spaces.Comment: 5 pages, 3 figures, Latex, accepted in Phys. Lett.

Effective Values of Komar Conserved Quantities and Their Applications

We calculate the effective Komar angular momentum for the Kerr-Newman (KN) black hole. This result is valid at any radial distance on and outside the black hole event horizon. The effcetive values of mass and angular momentum are then used to derive an identity ($K_{\chi^{\mu}}=2ST$) which relates the Komar conserved charge ($K_{\chi^{\mu}}$) corresponding to the null Killing vector ($\chi^{\mu}$) with the thermodynamic quantities of this black hole. As an application of this identity the generalised Smarr formula for this black hole is derived. This establishes the fact that the above identity is a local form of the inherently non-local generalised Smarr formula.Comment: v3, minor modifications over v2; LaTex, 9 pages, no figures, to appear in Int. Jour. Theo. Phy

Glassy Phase Transition and Stability in Black Holes

Black hole thermodynamics, confined to the semi-classical regime, cannot address the thermodynamic stability of a black hole in flat space. Here we show that inclusion of correction beyond the semi-classical approximation makes a black hole thermodynamically stable. This stability is reached through a phase transition. By using Ehrenfest's scheme we further prove that this is a glassy phase transition with a Prigogine-Defay ratio close to 3. This value is well placed within the desired bound (2 to 5) for a glassy phase transition. Thus our analysis indicates a very close connection between the phase transition phenomena of a black hole and glass forming systems. Finally, we discuss the robustness of our results by considering different normalisations for the correction term.Comment: v3, minor changes over v2, references added, LaTeX-2e, 18 pages, 3 ps figures, to appear in Eour. Phys. Jour.

A Novel UV-C/XOH(X=Na or K) Based Highly Alkaline Advanced Oxidation Process (HA-AOP) for Degradation of Emerging Micropollutants

Herein, a novel and comprehensible approach has been suggested to degrade the emerging micropollutants such as synthetic dyes. In this study, a continuous UV-C irradiation has been used to treat the aqueous matrix of synthetic pollutant dyes under highly alkaline environment (pH >13.0). In this HA-AOP, the treatment rate and degradation efficiency are primarily found to be affected by the type of pollutant dye present in the matrix, concentration of XOH or pH and UV-C fluence rate. In addition, the kinetic study indicates that HA-AOP or UV-C/XOH(X=Na or K) process follows zero order reaction kinetics during the degradation of parent pollutant species. The explored approach is quite auspicious due to its tremendous potential to handle versatile aqueous matrices containing natural organic materials, inorganic salts, fatty matters, surfactants and many more things. Overall, unlike other AOPs, this novel UV-C/XOH(X=Na or K) based HA-AOP could be highly utilized for the effective treatment of various alkaline wastewater streams

A two-dimensional study to aid the prototype designing of mono-mode microwave blood warmer

This meticulous analysis was performed to guide in the designing of a prototype mono-mode microwave blood warmer. The interaction of two-dimensional cylindrical blood samples with the microwave was performed through two different techniques i.e., lateral and radial irradiations. The study found the preference for interaction techniques corresponding to different frequencies, intensities, sample sizes and procedure durations. The study of the areal positioning of power and temperature at specific peak points generated the information on warming rate and thermal homogeneity inside the sample. High warming rate along with low thermal non-homogeneity were the chosen criteria to decide the requirement of rotation during the warming procedure. At the frequency of 915 MHz, no rotation was recommended for samples irrespective of sizes for optimal warming. Rotation for small and large samples and no rotation for medium sized samples were recommended to achieve homogenously warmed human blood samples at the frequency of 2450 MHz. Specific recommendations for different case studies were also made with respect to the sample size, radiation intensity and procedure duration to draw reciprocity amongst them. Considering all the aspects, the present work recommended an efficient way for designing of a prototype for enhanced microwave facilitated intravenous fluid warmer

A Novel UV-C/XOH(X=Na or K) Based Highly Alkaline Advanced Oxidation Process (HA-AOP) for Degradation of Emerging Micropollutants

Herein, a novel and comprehensible approach has been suggested to degrade the emerging micropollutants such as synthetic dyes. In this study, a continuous UV-C irradiation has been used to treat the aqueous matrix of synthetic pollutant dyes under highly alkaline environment (pH >13.0). In this HA-AOP, the treatment rate and degradation efficiency are primarily found to be affected by the type of pollutant dye present in the matrix, concentration of XOH or pH and UV-C fluence rate. In addition, the kinetic study indicates that HA-AOP or UV-C/XOH(X=Na or K) process follows zero order reaction kinetics during the degradation of parent pollutant species. The explored approach is quite auspicious due to its tremendous potential to handle versatile aqueous matrices containing natural organic materials, inorganic salts, fatty matters, surfactants and many more things. Overall, unlike other AOPs, this novel UV-C/XOH(X=Na or K) based HA-AOP could be highly utilized for the effective treatment of various alkaline wastewater streams

Polynomial interpolation methods in development of local geoid model

In geodesy three surfaces, the physical surface of the earth, the geoid and the reference ellipsoid are encountered giving rise to orthometric height (h), the ellipsoidal height (H) and the geoidal separation (N). The orthometric height and the ellipsoidal height are with reference to the geoid and the reference ellipsoid respectively. The vertical separation between the ellipsoid and the geoid is the geoidal separation. A mathematical relation depicting the surface of the geoid with regard to the reference ellipsoid is the geoid model. It relates the geoidal separation with the horizontal location.The Global Navigational Satellite System provides precise location of points on the surface of the earth. The vertical location provided is the ellipsoidal height which needs conversion to a more usable format, the orthometric height. This is done by integrating ellipsoidal heights with a geoid model. The accuracy of conversion depends on the accuracy of geoid model. Therefore, development of geoid model has become a current area of research in geodesy.Objective of this study is to develop a local geoid model by employing various polynomial models and thereafter to analyse the accuracy of these models. The test area is in Papua New Guinea. The geometric method is used for computation of the geoidal separation from ellipsoidal and orthometric heights and thereafter the horizontal coordinates and the geoidal separation are used to develop the geoid surface using second, third and fourth degree polynomials. The study shows that the third degree polynomial provided an accuracy of ±20 cm. Keywords: Geodesy, Orthometric height, Ellipsoidal height, Geoidal separation, Geoid mode