9655209
Probing the deviation from maximal mixing of atmospheric neutrinos
Pioneering atmospheric muon neutrino experiments have demonstrated the near-maximal magnitude of the flavor mixing angle ${\ensuremath{\theta}}_{23}$. But the precise value of the deviation $D\ensuremath{\equiv}1/2\ensuremath{-}{sin﻿}^{2}{\ensuremath{\theta}}_{23}$ from maximality (if nonzero) needs to be known, being of great interest\char22{}especially to builders of neutrino mass and mixing models. We quantitatively investigate in a three-generation framework the feasibility of determining $D$ in a statistically significant manner from studies of the atmospheric ${\ensuremath{\nu}}_{\ensuremath{\mu}},{\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}$ survival probability including both vacuum oscillations and matter effects. We show how this determination will be sharpened by considering the up-down ratios of observed ${\ensuremath{\nu}}_{\ensuremath{\mu}}$- and ${\overline{\ensuremath{\nu}}}_{\ensuremath{\mu}}$-induced events and the differences of these ratios in specified energy and zenith angle bins. We consider 1 Megaton year of exposure to a magnetized iron calorimeter such as the proposed India-based Neutrino Observatory detector ICAL, taking into account both energy and zenith angle resolution functions. The sensitivity of such an exposure and the dependence of the determination of $D$ on the concerned oscillation parameters are discussed in detail. The vital use of matter effects in fixing the octant of ${\ensuremath{\theta}}_{23}$ is highlighted.
119370491
Oblique corrections and the quadratic approximation in electroweak precision testing
This paper is withdrawn. A revised and expanded version of this work is available as hep-ph/9603323.
121584805
Current-commutators and high energy hadron production in e+e− annihilation
Abstract We consider the asymptotic behavior of the structure-functions for the process e + e − → H + everything (where H is a detectable hadron) in terms of commutators involving the electromagnetic current.
122353884
Parton description of the forward peak in single particle electroproduction with highly virtual photons
The parton mode or the reaction eN→eAB (N = nucleon, A, B = hadrons) in the fixed ω Bj limit is used to discuss the width of the corresponding forward peak as a function of the photon mass.
125018064
Supersymmetry working group report, 'From strings to LHC' workshop, Goa, (January, 2007)
31086876
Stringent low-energy mass constraints in no-scale supergravity.
Spectacular mass constraints are shown to exist at low energies in minimal no-scale supergravity theories. The top quark cannot be too light, the lowest-lying Higgs particle cannot be too heavy, and the pseudoscalar Higgs boson must weigh nearly a quarter as much as the gluino.
122300953
Remarks on negative energy states in supersymmetric quantum mechanics
The authors analyse the role of singular superpotentials in supersymmetric quantum mechanics. In particular, they investigate the existence of negative energy states in supersymmetry and analyse the behaviour of superpartners in such cases.
14129154
A new class of PT-symmetric Hamiltonians with real spectra
Abstract We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-Hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY quantum mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ensure the reality of the full spectrum or, for the quasi-exactly solvable systems, the reality of the energy of the finite number of levels.
121312231
Effective lagrangian for a supersymmetric non-abelian gauge theory
We evaluate the one-loop effective potential for a supersymmetricSU(2) gauge theory in the presence of a constant external magnetic field and discuss the minima of the resulting effective potential.
117085756
On Pseudo-Hermitian Hamiltonians
We investigate some questions on the construction of $\eta$ operators for pseudo-Hermitian Hamiltonians. We give a sufficient condition which can be exploited to systematically generate a sequence of $\eta$ operators starting from a known one, thereby proving the non-uniqueness of $\eta$ for a particular pseudo-Hermitian Hamiltonian. We also study perturbed Hamiltonians for which $\eta$'s corresponding to the original Hamiltonian still work.
1152681
PT symmetry of a conditionally exactly solvable potential
A conditionally exactly solvable potential, the supersymmetric partner of the harmonic oscillator is investigated in the -symmetric setting. It is shown that a number of properties characterizing shape-invariant and Natanzon-class potentials generated by an imaginary coordinate shift x−iϵ also hold for this potential outside the Natanzon class.