28 research outputs found
Supersymmetry for Fermion Masses
It is proposed that supersymmetry (SUSY) maybe used to understand fermion
mass hierarchies. A family symmetry Z_{3L} is introduced, which is the cyclic
symmetry among the three generation SU(2) doublets. SUSY breaks at a high
energy scale ~ 10^{11} GeV. The electroweak energy scale ~ 100 GeV is
unnaturally small. No additional global symmetry, like the R-parity, is
imposed. The Yukawa couplings and R-parity violating couplings all take their
natural values which are about (10^0-10^{-2}). Under the family symmetry, only
the third generation charged fermions get their masses. This family symmetry is
broken in the soft SUSY breaking terms which result in a hierarchical pattern
of the fermion masses. It turns out that for the charged leptons, the tau mass
is from the Higgs vacuum expectation value (VEV) and the sneutrino VEVs, the
muon mass is due to the sneutrino VEVs, and the electron gains its mass due to
both Z_{3L} and SUSY breaking. The large neutrino mixing are produced with
neutralinos playing the partial role of right-handed neutrinos. |V_{e3}| which
is for nu_e-nu_{tau} mixing is expected to be about 0.1. For the quarks, the
third generation masses are from the Higgs VEVs, the second generation masses
are from quantum corrections, and the down quark mass due to the sneutrino
VEVs. It explains m_c/m_s, m_s/m_e, m_d > m_u and so on. Other aspects of the
model are discussed.Comment: 25 pages, 3 figures, revtex4; neutrino oscillation and many
discussions added, smallness of the electron mass due to supersymmetry
pointed out; v3: numerical errors correcte
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
The supersymmetric intertwining relations with second order supercharges
allow to investigate new two-dimensional model which is not amenable to
standard separation of variables. The corresponding potential being the
two-dimensional generalization of well known one-dimensional P\"oschl-Teller
model is proven to be exactly solvable for arbitrary integer value of parameter
all its bound state energy eigenvalues are found analytically, and the
algorithm for analytical calculation of all wave functions is given. The shape
invariance of the model and its integrability are of essential importance to
obtain these results.Comment: 23 page
Quasi-classical path integral approach to supersymmetric quantum mechanics
{}From Feynman's path integral, we derive quasi-classical quantization rules
in supersymmetric quantum mechanics (SUSY-QM). First, we derive a SUSY
counterpart of Gutzwiller's formula, from which we obtain the quantization rule
of Comtet, Bandrauk and Campbell when SUSY is good. When SUSY is broken, we
arrive at a new quantization formula, which is found as good as and even
sometime better than the WKB formula in evaluating energy spectra for certain
one-dimensional bound state problems. The wave functions in the stationary
phase approximation are also derived for SUSY and broken SUSY cases. Insofar as
a broken SUSY case is concerned, there are strong indications that the new
quasi-classical approximation formula always overestimates the energy
eigenvalues while WKB always underestimates.Comment: 13 pages + 5 figures, complete paper submitted as postscript file, to
appear in Phys. Rev.
Physics of B_c mesons
In the framework of potential models for heavy quarkonium the mass spectrum
for the system () is considered. Spin-dependent splittings, taking
into account a change of a constant for effective coulomb interaction between
the quarks, and widths of radiative transitions between the () levels
are calculated. In the framework of QCD sum rules, masses of the lightest
vector and pseudoscalar states are estimated, scaling relation
for leptonic constants of heavy quarkonia is derived, and the leptonic constant
is evaluated. The decays are considered in the framework of
both the potential models and the QCD sum rules, where the significance of
Coulomb-like corrections is shown. The relations, following from the
approximate spin symmetry for the heavy quarks in the heavy quarkonium, are
analysed for the form factors of the semileptonic weak exclusive decays of
. The lifetime is evaluated with the account of the corrections to
the spectator mechanism of the decay, because of the quark binding into the
meson. The total and differential cross sections of the production in
different interactions are calculated. The analytic expressions for the
fragmentational production cross sections of are derived. The possibility
of the practical search in the current and future experiments at
electron-positron and hadron colliders is analysed.Comment: 81 page, latex, ihep.sty is required and attached in the end of the
file after \end{document}, figures are not availabl
Naturalness Bounds on Dipole Moments from New Physics
Assuming naturalness that the quantum corrections to the mass should not
exceed the order of the observed mass, we derive and apply model-independent
bounds on the anomalous magnetic moments and electric dipole moments of leptons
and quarks due to new physics.Comment: 4 pages, 2 figure
Some Results on Cubic and Higher Order Extensions of the Poincar\'e Algebra
In these lectures we study some possible higher order (of degree greater than
two) extensions of the Poincar\'e algebra. We first give some general
properties of Lie superalgebras with some emphasis on the supersymmetric
extension of the Poincar\'e algebra or Supersymmetry. Some general features on
the so-called Wess-Zumino model (the simplest field theory invariant under
Supersymmetry) are then given. We further introduce an additional algebraic
structure called Lie algebras of order F, which naturally comprise the concepts
of ordinary Lie algebras and superalgebras. This structure enables us to define
various non-trivial extensions of the Poincar\'e algebra. These extensions are
studied more precisely in two different contexts. The first algebra we are
considering is shown to be an (infinite dimensional) higher order extension of
the Poincar\'e algebra in dimensions and turns out to induce a symmetry
which connects relativistic anyons. The second extension we are studying is
related to a specific finite dimensional Lie algebra of order three, which is a
cubic extension of the Poincar\'e algebra in space-time dimensions.
Invariant Lagrangians are constructed.Comment: Mini course given at the Workshop higher symmetries in physics,
Madrid, Spain, November 6-8, 200
Search for heavy long-lived charged R-hadrons with the ATLAS detector in 3.2 fb(-1) of proton-proton collision data at root s=13 TeV
A search for heavy long-lived charged R-hadrons is reported using a data sample corresponding to
3.2 fb−1 of proton–proton collisions at √s = 13 TeV collected by the ATLAS experiment at the Large
Hadron Collider at CERN. The search is based on observables related to large ionisation losses and slow
propagation velocities, which are signatures of heavy charged particles travelling significantly slower than
the speed of light. No significant deviations from the expected background are observed. Upper limits at
95% confidence level are provided on the production cross section of long-lived R-hadrons in the mass
range from 600 GeV to 2000 GeV and gluino, bottom and top squark masses are excluded up to 1580 GeV,
805 GeV and 890 GeV, respectively