119693459
Radiatively broken symmetries of nonhierarchical neutrinos
Symmetry-based ideas, such as the quark-lepton complementarity principle and the tribimaximal mixing scheme, have been proposed to explain the observed mixing pattern of neutrinos. We argue that such symmetry relations need to be imposed at a high scale {lambda}{approx}10{sup 12} GeV characterizing the large masses of right-handed neutrinos required to implement the seesaw mechanism. For nonhierarchical neutrinos, renormalization group evolution down to a laboratory energy scale {lambda}{approx}10{sup 3} GeV tends to radiatively break these symmetries at a significant level and spoil the mixing pattern predicted by them. However, for Majorana neutrinos, suitable constraints on the extra phases {alpha}{sub 2,3} enable the retention of those high scale mixing patterns at laboratory energies. We examine this issue within the minimal supersymmetric standard model and demonstrate the fact posited above for two versions of quark-lepton complementarity and two versions of tribimaximal mixing. The appropriate constraints are worked out for all these four cases. Specifically, a preference for {alpha}{sub 2}{approx_equal}{pi} (i.e., m{sub 1}{approx_equal}-m{sub 2}) emerges in each case. We also show how a future accurate measurement of {theta}{sub 13} may enable some discrimination among these four cases in spite of renormalization group evolution.
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.
125018064
Supersymmetry working group report, 'From strings to LHC' workshop, Goa, (January, 2007)
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This paper is withdrawn.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.
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.
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.
115157994
Non-hermitian quantum mechanics in non-commutative space
AbstractA recent investigation of the possibility of having a 
$\mathcal{PT}$
-symmetric periodic potential in an optical lattice stimulated the urge to generalize non-hermitian quantum mechanics beyond the case of commutative space. We thus study non-hermitian quantum systems in non-commutative space as well as a 
$\mathcal{PT}$
-symmetric deformation of this space. Specifically, a 
$\mathcal{PT}$
-symmetric harmonic oscillator together with an iC(x1+x2) interaction are discussed in this space, and solutions are obtained. We show that in the 
$\mathcal{PT}$ 
deformed non-commutative space the Hamiltonian may or may not possess real eigenvalues, depending on the choice of the non-commutative parameters. However, it is shown that in standard non-commutative space, the iC(x1+x2) interaction generates only real eigenvalues despite the fact that the Hamiltonian is not 
$\mathcal{PT}$
-symmetric. A complex interacting anisotropic oscillator system also is discussed.
120571457
Supersymmetric anyon quantum mechanics
Abstract We develop a framework for anyons within supersymmetric quantum mechanics. We prove that supersymmetry can be realized spectrally but necessarily requires a contact interaction which modifies in a specific way the usual regularity condition of the wavefunction at the origin.
14006735
Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the models are pseudo-Hermitian and the metric operator is found explicitly in both the cases.
119751583
On supersymmetry and random sources
We evaluate the one loop effective potential for the supersymmetric Higgs model in the presence of a gaussian random source and examine supersymmetry breaking at the one loop level.
201233866
REMARK ON CONTACT INTERACTION OF SUPERSYMMETRIC ANYONS
We examine the possibility of contact interaction of anyons within the framework of a two-particle supersymmetric model. It is shown that anyons can be realized in a supersymmetric manner (except in two low lying states) and they do not feel contact interaction.