22,103 research outputs found
Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY
If left-right gauge theory occurs as an intermediate symmetry in a GUT then,
apart from other advantages, it is possible to obtain the see-saw scale
necessary to understand small neutrino masses with Majorana coupling of order
unity. Barring threshold or non-renormalizable gravitational effects, or
assumed presence of additional light scalar particles of unprescribed origin,
all other attempts to achieve manifest one-loop gauge coupling unification in
SUSY SO(10) with left-right intermediate symmetry have not been successful so
far. Attributing this failure to lack of flavor symmetry in the GUT, we show
how the spontaneous symmetry breaking of leads to such
intermediate scale extending over a wide range, GeV
to GeV. All the charged fermion masses are fitted at the see-saw
scale, GeV which is obtained with
Majorana coupling . Using a constrained parametrization in which
CP-violation originates only from quark sector, besides other predictions made
in the neutrino sector, the reactor mixing angle is found to be which is in the range accessible to ongoing and
planned experiments. The leptonic Dirac phase turns out to be radians with Jarlskog invariant .Comment: Minor clarification and few references added to match the published
versio
Chaos in an Exact Relativistic 3-body Self-Gravitating System
We consider the problem of three body motion for a relativistic
one-dimensional self-gravitating system. After describing the canonical
decomposition of the action, we find an exact expression for the 3-body
Hamiltonian, implicitly determined in terms of the four coordinate and momentum
degrees of freedom in the system. Non-relativistically these degrees of freedom
can be rewritten in terms of a single particle moving in a two-dimensional
hexagonal well. We find the exact relativistic generalization of this
potential, along with its post-Newtonian approximation. We then specialize to
the equal mass case and numerically solve the equations of motion that follow
from the Hamiltonian. Working in hexagonal-well coordinates, we obtaining
orbits in both the hexagonal and 3-body representations of the system, and plot
the Poincare sections as a function of the relativistic energy parameter . We find two broad categories of periodic and quasi-periodic motions that we
refer to as the annulus and pretzel patterns, as well as a set of chaotic
motions that appear in the region of phase-space between these two types.
Despite the high degree of non-linearity in the relativistic system, we find
that the the global structure of its phase space remains qualitatively the same
as its non-relativisitic counterpart for all values of that we could
study. However the relativistic system has a weaker symmetry and so its
Poincare section develops an asymmetric distortion that increases with
increasing . For the post-Newtonian system we find that it experiences a
KAM breakdown for : above which the near integrable regions
degenerate into chaos.Comment: latex, 65 pages, 36 figures, high-resolution figures available upon
reques
Dynamical N-body Equlibrium in Circular Dilaton Gravity
We obtain a new exact equilibrium solution to the N-body problem in a
one-dimensional relativistic self-gravitating system. It corresponds to an
expanding/contracting spacetime of a circle with N bodies at equal proper
separations from one another around the circle. Our methods are
straightforwardly generalizable to other dilatonic theories of gravity, and
provide a new class of solutions to further the study of (relativistic)
one-dimensional self-gravitating systems.Comment: 4 pages, latex, reference added, minor changes in wordin
Mesons and tachyons with confinement and chiral restoration, and NA60
In this paper the spectrum of quark-antiquark systems, including light mesons
and tachyons, is studied in the true vacuum and in the chiral invariant vacuum.
The mass gap equation for the vacua and the Salpeter-RPA equation for the
mesons are solved for a simple chiral invariant and confining quark model. At
T=0 and in the true vacuum, the scalar and pseudoscalar, or the vector and
axial vector are not degenerate, and in the chiral limit, the pseudoscalar
groundstates are Goldstone bosons. At T=0 the chiral invariant vacuum is an
unstable vacuum, decaying through an infinite number of scalar and pseudoscalar
tachyons. Nevertheless the axialvector and vector remain mesons, with real
masses. To illustrate the chiral restoration, an arbitrary path between the two
vacua is also studied. Different families of light-light and heavy-light
mesons, sensitive to chiral restoration, are also studied. At higher
temperatures the potential must be suppressed, and the chiral symmetry can be
restored without tachyons, but then all mesons have small real masses.
Implications for heavy-ion collisions, in particular for the recent vector
meson spectra measured by the NA60 collaboration, are discussed.Comment: 9 pages, 5 figures, 3 table
Comparison of the extended linear sigma model and chiral perturbation theory
The pion-nucleon scattering amplitudes are calculated in tree approximation
with the use of the extended linear sigma model (ELSM) as well as heavy baryon
chiral perturbation theory (HBPT), and the non-relativistic forms of the
ELSM results are compared with those of HBPT. We find that the amplitudes
obtained in ELSM do not agree with those derived from the more fundamental
effective approach, HBPT.Comment: 7 page
New signals of a R-parity violating model of neutrino mass at the Tevatron
In a variety models of neutrino masses and mixings the lighter top squark
decays into competing R - parity violating and R - parity conserving channels.
Using Pythia we have estimated in a model independent way the minimum value of
P BR()
BR(), where and , corresponding
to an observable signal involving the final state
1 + jets +\met (carried by the neutrinos from the
decay) at Tevatron Run II. For the kinematical cuts designed in this paper P
depends on only. We then compute P for representative
choices of the model parameters constrained by the oscillation data and find
that over a significant region of the allowed parameter space P is indeed
larger than . This signal is complementary to the dilepton + dijet
signal studied in several earlier experimental and phenomenological analyses
and may be observed even if BR() is an order of
magnitude smaller than BR(). The
invariant mass distribution of the hardest lepton and the hardest jet may
determine and reveal the lepton number violating nature of
the underlying interaction. The invariant mass distribution of the two lowest
energy jets may determine .Comment: Some minor changes in language are made at pages 1,2,8 and 18
respectivel
Experimental study of wing leading-edge devices for improved maneuver performance of a supercritical maneuvering fighter configuration
Wind tunnel tests were conducted to examine the use of wing leading-edge devices for improved subsonic and transonic maneuver performance. These devices were tested on a fighter configuration which utilized supercritical-wing technology. The configuration had a leading-edge sweep of 45 deg and an aspect ratio of 3.28. The tests were conducted at Mach numbers of 0.60 and 0.85 with angles of attack from -0.5 deg to 22 deg. At both Mach numbers, sharp leading-edge flaps produced vortices which greatly altered the flow pattern on the wing and resulted in substantial reductions in drag at high lift. Underwing or pylon-type vortex generators also reduced drag at high lift. The vortex generators worked better at a Mach number of 0.60. The vortex generators gave the best overall results with zero toe-in angle and when mounted on either the outboard part of the wing or at both an outboard location and halfway out the semispan. Both the flaps and the vortex generators had a minor effect on the pitching moment. Fluorescent minitufts were found to be useful for flow visualization at transonic maneuver conditions
Probing R-parity violating models of neutrino mass at the LHC via top squark decays
It is shown that the R-parity violating decays of the lighter top squarks
() triggered by the lepton number violating couplings
, where the lepton family index i = 1-3, can be
observed at the LHC via the dilepton di-jet channel even if the coupling is as
small as 10 or 10, which is the case in several models of
neutrino mass, provided it is the next lightest supersymmetric particle(NLSP)
the lightest neutralino being the lightest supersymmetric particle(LSP). We
have first obtained a fairly model independent estimate of the minimum
observable value of the parameter ()) at the LHC for an integrated
luminosity of 10fb as a function of \mlstop by a standard Pythia based
analysis. We have then computed the parameter in several
representative models of neutrino mass constrained by the neutrino oscillation
data and have found that the theoretical predictions are above the estimated
minimum observable levels for a wide region of the parameter space.Comment: 19 pages, 1 Figure and 11 Table
Type II Seesaw Dominance in Non-supersymmetric and Split Susy SO(10) and Proton Life Time
Recently type II seesaw dominance in a supersymmetric SO(10) framework has
been found useful in explaining large solar and atmospheric mixing angles as
well as larger values of while unifying quark and lepton masses.
An important question in these models is whether there exists consistency
between coupling unification and type II seesaw dominance. Scenarios where this
consistency can be demonstrated have been given in a SUSY framework. In this
paper we give examples where type II dominance occurs in SO(10) models without
supersymmetry but with additional TeV scale particles and also in models with
split-supersummetry. Grand unification is realized in a two-step process via
breaking of SO(10) to SU(5) and then to a TeV scale standard model supplemented
by extra fields and an SU(5) Higgs multiplet at a scale about
GeV to give type-II seesaw. The predictions for proton lifetime in
these models are in the range yrs. to yrs.. A number of recent numerical fits to GUT-scale fermion
masses can be accommodated within this model.Comment: 7 pages LaTeX, 3 figures, related areas: hep-ex, hep-th, astro-ph;
Reference added, typo corrected, version to appear in Physical Review
On subgroups generated by small classes in finite groups
Let be a finite group and be the subgroup of generated by all
non-central elements of that lie in the conjugacy classes of the smallest
size. Recently several results have been proved regarding the nilpotency class
of and , where denotes the Fitting subgroup of
. We prove some conditional results regarding the nilpotency class of
.Comment: 5 pages, re-written in a new forma
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