New Formulas and Predictions for Running Masses at Higher Scales in MSSM

Including contributions of scale-dependent vacuum expectation values of Higgs scalars, we derive new one-loop formulas analytically for running quark-lepton masses at higher scales in MSSM. Apart from the gauge-coupling dependence being different from earlier formulas, the third-generation- Yukawa-coupling effects are absent in the masses of the first two generations. While predicting the masses and $\tan\beta$ numerically, we also include two-loop effects.Comment: 9 pages Latex.Typos correcte

High scale perturbative gauge coupling in R-parity conserving SUSY SO(10) with longer proton lifetime

It is well known that in single step breaking of R-parity conserving SUSY SO(10) that needs the Higgs representations $126+\bar 126$ the GUT-gauge coupling violates the perturbative constraint at mass scales few times larger than the GUT scale. Therefore, if the SO(10) gauge coupling is to remain perturbative up the Planck scale(=2x10^{18} GeV), the scale $M_U$ of GUT symmetry breaking is to be bounded from below. The bound depends upon specific Higgs representations used for SO(10) symmetry breaking but, as we find, can not be lower than $1.5x10^{17}$ GeV. In order to obtain such high unification scale we propose a two-step SO(10) breaking through $SU(2)_LXSU(2)_RXU(1)_{B-L}XSU(3)_C(g_{2L} \neq g_{2R})$ intermediate gauge symmetry. We estimate potential threshold and gravitational corrections to the running of gauge couplings and show that they can make the picture of perturbative GUT- gauge coupling running consistent at least up to the Planck scale. We also show that when $SO(10) \to G_{2213}$ by $210 + 54$, gravitational corrections alone with negligible threshold effects may guarantee such perturbative gauge coupling. The lifetime of the proton is found to increase by nearly 6 orders over the current experimental limit for $p \to e^+\pi^0$. For the proton decay mediated by dim.5 operator a wide range of lifetimes is possible extending from the current experimental limit up to values 2-3 orders longer.Comment: 11 pages epjc LaTex as per specifications of European Physical Journal

Precision and uncertainties in mass scale predictions in SUSY SO(10) with SU(2)_L x SU(2)_R x U(1)_{B-L} x SU(3)_C intermediate breaking

In a class of SUSY SO(10) with $SU(2)_L x SU(2)_R x U(1)_{B-L} x SU(3)_C$ $(g_{2L}\neq g_{2R})$ intermediate gauge symmetry, we observe that the prediction on the unification mass $(M_U)$ is unaffected by Planck-scale-induced gravitational and intermediate-scale-threshold effects, although the intermediate scale $(M_I)$ itself is subject to such corrections. In particular, without invoking the presence of additional lighter scalar degrees of freedom but including plausible and reasonable threshold effects, we find that interesting solutions for neutrino physics corresponding to $M_I\simeq 10^{10}-10^{13}$ GeV and $M_U\simeq (5-6) x 10^{17}$ GeV are permitted in the minimal models. Possibilities of low-mass right-handed gauge bosons corresponding to $M_I\simeq 1-10$ TeV consistent with the CERN-LEP data are pointed out in a number of models when threshold effects are included using effective mass parameters.Comment: 12 pages including 7 tables (Typos corrected as per the published version

Hot Nuclear Matter : A Variational Approach

We develop a nonperturbative technique in field theory to study properties of infinite nuclear matter at zero temperature as well as at finite temperatures. Here we dress the nuclear matter with off-mass shell pions. The techniques of thermofield dynamics are used for finite temperature calculations. Equation of state is derived from the dynamics of the interacting system in a self consistent manner. The transition temperature for nuclear matter appears to be around 15 MeV.Comment: 16 pages, IP/BBSR/91-3

Neutron matter - Quark matter phase transition and Quark star

We consider the neutron matter quark matter phase transition along with possible existence of hybrid quark stars. The equation of state for neutron matter is obtained using a nonperturbative method with pion dressing of the neutron matter and an analysis similar to that of symmetric nuclear matter. The quark matter sector is treated perturbatively in the small distance domain. For bag constant $B^{1/4}$=148 MeV, a first order phase transition is seen. In the context of neutron quark hybrid stars, Tolman-Oppenheimer-Volkoff equations are solved using the equations of state for quark matter and for neutron matter with a phase transition as noted earlier. Stable solutions for such stars are obtained with the Chandrasekhar limit as 1.58 $M_\odot$ and radius around 10 km. The bulk of the star is quark matter with a thin crust of neutron matter of less than a kilometer.Comment: 28 pages including 9 figures, Revtex, IP/BBSR/92-8

Offline e-cash system

The e-cash scheme and the digital content transactions are the need of the hour. In the coming years, all these digital transactions will grow tremendously. So, a secure e-cash scheme is of utmost requirement. e-cash scheme, which is untraceable and maintains the security features, make it possible for the customers and the merchants to exchange the e-cash and the merchandise with privacy. So, there is a need to design an e-cash scheme with strong cryptosystem and algorithms in order to facilitate efficient digital transactions. There are two types of e-cash systems: Offine e-cash systems and online e-cash systems. Offine e-cash systems make it possible for the customer to pay the e-coin to the merchant without any involvement of bank. In online schemes, we require the involvement of the bank. The two most fundamental security features associated with offine scheme is the anonymity and the double spending detection. The proposed scheme maintains both the above features along with unforgeability. Besides, the E-coins have their expiration date so that the bank faces no hassles and can manage its database efficiently. This feature also ensures portability as the coins can be transferred to storage devices through the networks

Sistem Pendukung Keputusan Penentuan Penilaian Karyawan Berprestasi Menggunakan Metode Saw dan Ahp

STAI Ibnu Rusyd kotabumi adalah sebuah perguruan tinggi yang selalu berupaya dalam peningkatan mutu internal secara berkelanjutan agar dapat bersaing dengan perguruan tinggi swasta lain. Salah satu upaya yang dilakukan adalah dengan melakukan penilaian terhadap karyawan. Penilaian tersebut dilakukan untuk mengetahui karyawan berprestasi, akan tetapi penilaian karyawan yang dilakukan selama ini masih menggunakan metode manual. Berdasarkan kondisi tersebut maka diperlukan adanya metode yang tepat dan akurat dalam mengelola data penilaian karyawan.Menggunakan metode Simple Additive Weighting (SAW) dengan Analytic Hierarchy Process (AHP) di hitung nilai masing-masing karyawan yang melibatkan beberapa kriteria yaitu kriteria komitmen, manajemen, kerjasama dan hasil kerja setelah perhitungan dilakukan maka ditentukan manakah metode yang paling tepat.Dari penelitian ini dapat disimpulkan bahwa metode Analytic Hierarchy Process (AHP) lebih tepat untuk studi kasus pemilihan karyawan berprestasi karena pemilihan karyawan berprestasi ini melibatkan banyak subkriteria, dimana AHP dianggap tepat untuk mewakili pemikiranalamiah yang cenderung mengelompokkan elemen sistemke level-level yang berbeda dari masing-masing level berisi elemen yang serupa dan juga menyediakan skala pengukuran