9,544 research outputs found
Rare Flavor Processes in Maximally Natural Supersymmetry
We study CP-conserving rare flavor violating processes in the recently
proposed theory of Maximally Natural Supersymmetry (MNSUSY). MNSUSY is an
unusual supersymmetric (SUSY) extension of the Standard Model (SM) which,
remarkably, is un-tuned at present LHC limits. It employs Scherk-Schwarz
breaking of SUSY by boundary conditions upon compactifying an underlying
5-dimensional (5D) theory down to 4D, and is not well-described by
softly-broken SUSY, with much different phenomenology than the
Minimal Supersymmetric Standard Model (MSSM) and its variants. The usual
CP-conserving SUSY-flavor problem is automatically solved in MNSUSY due to a
residual almost exact symmetry, naturally heavy and highly degenerate
1st- and 2nd-generation sfermions, and heavy gauginos and Higgsinos. Depending
on the exact implementation of MNSUSY there exist important new sources of
flavor violation involving gauge boson Kaluza-Klein (KK) excitations. The
spatial localization properties of the matter multiplets, in particular the
brane localization of the 3rd generation states, imply KK-parity is broken and
{\it tree-level} contributions to flavor changing neutral currents are present
in general. Nevertheless, we show that simple variants of the basic MNSUSY
model are safe from present flavor constraints arising from kaon and -meson
oscillations, the rare decays ,
and - conversion in nuclei. We also briefly discuss some special
features of the radiative decays and . Future experiments, especially those concerned with lepton flavor
violation, should see deviations from SM predictions unless one of the MNSUSY
variants with enhanced flavor symmetries is realized.Comment: 28 pages, 19 figures; references added, typos correcte
Black Box Galois Representations
We develop methods to study -dimensional -adic Galois representations
of the absolute Galois group of a number field , unramified outside a
known finite set of primes of , which are presented as Black Box
representations, where we only have access to the characteristic polynomials of
Frobenius automorphisms at a finite set of primes. Using suitable finite test
sets of primes, depending only on and , we show how to determine the
determinant , whether or not is residually reducible, and
further information about the size of the isogeny graph of whose
vertices are homothety classes of stable lattices. The methods are illustrated
with examples for , and for imaginary quadratic, being
the representation attached to a Bianchi modular form.
These results form part of the first author's thesis.Comment: 40 pages, 3 figures. Numerous minor revisions following two referees'
report
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base
", which is a subclass of strong pseudoprimes to base . Denoting via
the multiplicative order of modulo , we show that a composite
is overpseudoprime if and only if is invariant for all divisors
of . In particular, we prove that all composite Mersenne numbers
, where is prime, are overpseudoprime to base 2 and squares of
Wieferich primes are overpseudoprimes to base 2. Finally, we show that some
kinds of well known numbers are overpseudoprime to a base .Comment: 9 page
Multifractal wave functions of simple quantum maps
We study numerically multifractal properties of two models of one-dimensional
quantum maps, a map with pseudointegrable dynamics and intermediate spectral
statistics, and a map with an Anderson-like transition recently implemented
with cold atoms. Using extensive numerical simulations, we compute the
multifractal exponents of quantum wave functions and study their properties,
with the help of two different numerical methods used for classical
multifractal systems (box-counting method and wavelet method). We compare the
results of the two methods over a wide range of values. We show that the wave
functions of the Anderson map display a multifractal behavior similar to
eigenfunctions of the three-dimensional Anderson transition but of a weaker
type. Wave functions of the intermediate map share some common properties with
eigenfunctions at the Anderson transition (two sets of multifractal exponents,
with similar asymptotic behavior), but other properties are markedly different
(large linear regime for multifractal exponents even for strong
multifractality, different distributions of moments of wave functions, absence
of symmetry of the exponents). Our results thus indicate that the intermediate
map presents original properties, different from certain characteristics of the
Anderson transition derived from the nonlinear sigma model. We also discuss the
importance of finite-size effects.Comment: 15 pages, 21 figure
A New Approach to Numerical Quantum Field Theory
In this note we present a new numerical method for solving Lattice Quantum
Field Theory. This Source Galerkin Method is fundamentally different in concept
and application from Monte Carlo based methods which have been the primary mode
of numerical solution in Quantum Field Theory. Source Galerkin is not
probabilistic and treats fermions and bosons in an equivalent manner.Comment: 10 pages, LaTeX, BROWN-HET-908([email protected]),
([email protected]), ([email protected]
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