8,896 research outputs found
Lattices of quasi-equational theories as congruence lattices of semilattices with operators, Part I
We show that for every quasivariety K of structures (where both functions and
relations are allowed) there is a semilattice S with operators such that the
lattice of quasi-equational theories of K (the dual of the lattice of
sub-quasivarieties of K) is isomorphic to Con(S,+,0,F). As a consequence, new
restrictions on the natural quasi-interior operator on lattices of
quasi-equational theories are found.Comment: Presented on International conference "Order, Algebra and Logics",
Vanderbilt University, 12-16 June, 2007 25 pages, 2 figure
On sgoldstino interpretation of HyperCP events
We discuss possible sgoldstino interpretation of the observation, reported by
HyperCP collaboration, of three decay events with
dimuon invariant mass 214.3 MeV within detector resolution. We find that this
interpretation is consistent in models with (i) parity conservation in
sgoldstino interactions, (ii) pseudoscalar sgoldstino of mass 214 MeV and
heavier scalar sgoldstino, and (iii) low supersymmetry breaking scale, \sqrt{F}
= 2.5-60 TeV. In these models, sgoldstino can be observed in decays
, and at the branching
ratios of at least of order 10^{-12}, 10^{-8} and 10^{-11}, respectively.
The model can be probed also at e^+e^- colliders in the channels
and , where the cross section is likely
to be in the range 1 pb - 5 ab.Comment: 14 pages, 1 figure; v2: replaced with journal version, predictions
for kaons refine
Stoponium Search at Photon Linear Collider
In some supersymmetric extensions of the Standard Model fairly light
superpartner of t-quark is predicted, which may form bound states ({\it
stoponiums}) under certain conditions. We study prospects of search for
stoponium at the future Photon Linear Collider. It is found that this machine
could be the best machine for discovery and study of these resonances at some
scenarios of supersymmetric extension of the Standard Model. In particular, if
the decay channel is dominant stoponium could be observed at the beginning
of PLC run with collision energy tuned at the stoponium mass. If this channel
is kinematically closed stoponium could be discovered in ,
and decay channels but higher statistics are needed. Effects of the
stoponium-Higgs mixing and degeneracy are briefly discussed.Comment: 11 pages, 2 figures added, corrections taken into account result in
increasing of signal significanc
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