7,279 research outputs found
A Telescoping method for Double Summations
We present a method to prove hypergeometric double summation identities.
Given a hypergeometric term , we aim to find a difference operator and rational functions
such that .
Based on simple divisibility considerations, we show that the denominators of
and must possess certain factors which can be computed from . Using these factors as estimates, we may find the numerators of
and by guessing the upper bounds of the degrees and solving systems of
linear equations. Our method is valid for the Andrews-Paule identity, Carlitz's
identities, the Ap\'ery-Schmidt-Strehl identity, the Graham-Knuth-Patashnik
identity, and the Petkov\v{s}ek-Wilf-Zeilberger identity.Comment: 22 pages. to appear in J. Computational and Applied Mathematic
Applicability of the -Analogue of Zeilberger's Algorithm
The applicability or terminating condition for the ordinary case of
Zeilberger's algorithm was recently obtained by Abramov. For the -analogue,
the question of whether a bivariate -hypergeometric term has a -pair
remains open. Le has found a solution to this problem when the given bivariate
-hypergeometric term is a rational function in certain powers of . We
solve the problem for the general case by giving a characterization of
bivariate -hypergeometric terms for which the -analogue of Zeilberger's
algorithm terminates. Moreover, we give an algorithm to determine whether a
bivariate -hypergeometric term has a -pair.Comment: 15 page
Higgs Triplets, Decoupling, and Precision Measurements
Electroweak precision data has been extensively used to constrain models
containing physics beyond that of the Standard Model. When the model contains
Higgs scalars in representations other than SU(2) singlets or doublets, and
hence rho not equal to one at tree level, a correct renormalization scheme
requires more inputs than the three needed for the Standard Model. We discuss
the connection between the renormalization of models with Higgs triplets and
the decoupling properties of the models as the mass scale for the scalar
triplet field becomes much larger than the electroweak scale. The requirements
of perturbativity of the couplings and agreement with electroweak data place
strong restrictions on models with Higgs triplets. Our results have important
implications for Little Higgs type models and other models with rho not equal
to one at tree level.Comment: 23 page
TeV Scale Seesaw and a flavorful Z' at the LHC
Small neutrino masses and their large mixing angles can be generated at the
TeV scale by augmenting the Standard Model with an additional generation
dependent, anomaly-free U(1)_{nu} symmetry, in the presence of three
right-handed neutrinos. The Z' gauge boson associated with the breaking of the
U(1)_{nu} symmetry can be produced at the LHC. The flavorful nature of the Z'
can be established by measuring its non-universal couplings to the charged
leptons as determined by the lepton's U(1)_{nu} charges, which also govern the
neutrino flavor structure. While the LHC has the potential of discovering the
Z' up to M_{Z'} = 4.5 TeV with 100 fb^(-1) data at the center of mass energy
sqrt{s} = 14 TeV, to establish the flavorful nature of the Z' requires much
higher integrated luminosity. For our bench mark parameters that are consistent
with neutrino oscillation data, at sqrt{s} = 14 TeV, a 5 sigma distinction
between the dielectron and dimuon channels for M_{Z'} = 3 TeV requires 500
fb^(-1) of data. We find that the forward backward asymmetry distributions can
also be useful in distinguishing the dielectron and dimuon channels in the low
invariant mass and transverse momentum regions.Comment: 9 pages, 13 figures; v2: version to appear in Phys. Rev.
Antiarrhythmic and proarrhythmic effects of subcutaneous nerve stimulation in ambulatory dogs
Background
High output subcutaneous nerve stimulation (ScNS) remodels the stellate ganglia and suppresses cardiac arrhythmia.
Objective
To test the hypothesis that long duration low output ScNS causes cardiac nerve sprouting, increases plasma norepinephrine concentration and the durations of paroxysmal atrial tachycardia (PAT) in ambulatory dogs.
Methods
We prospectively randomized 22 dogs (11 males and 11 females) into 5 different output groups for 2 months of ScNS: 0 mA (sham) (N=6), 0.25 mA (N=4), 1.5 mA (N=4), 2.5 mA (N=4) and 3.5 mA (N=4).
Results
As compared with baseline, the changes of the durations of PAT episodes per 48 hours were significantly different among different groups (sham, -5.0±9.5 s; 0.25 mA 95.5±71.0 s; 1.5 mA, -99.3±39.6 s; 2.5 mA, -155.3±87.8 s and 3.5 mA, -76.3±44.8 s, p<0.001). The 3.5 mA group had greater reduction of sinus heart rate than the sham group (-29.8±15.0 bpm vs -14.5±3.0 bpm, p=0.038). Immunohistochemical studies showed that the 0.25 mA group had a significantly increased while 2.5 mA and 3.5 mA stimulation had a significantly reduced growth-associated protein 43 nerve densities in both atria and ventricles. The plasma Norepinephrine concentrations in 0.25 mA group was 5063.0±4366.0 pg/ml, which was significantly higher than other groups of dogs (739.3±946.3, p=0.009). There were no significant differences in the effects of simulation between males and females.
Conclusions
In ambulatory dogs, low output ScNS causes cardiac nerve sprouting, increases plasma norepinephrine concentration and the duration of PAT episodes while high output ScNS is antiarrhythmic
Relating Leptogenesis to Low Energy Flavor Violating Observables in Models with Spontaneous CP Violation
In the minimal left-right symmetric model, there are only two intrinsic CP
violating phases to account for all CP violation in both the quark and lepton
sectors, if CP is broken spontaneously by the complex phases in the VEV's of
the scalar fields. In addition, the left- and right-handed Majorana mass terms
for the neutrinos are proportional to each other due to the parity in the
model. This is thus a very constrained framework, making the existence of
correlations among the CP violation in leptogenesis, neutrino oscillation and
neutrinoless double beta decay possible. In these models, CP violation in the
leptonic sector and CP violation in the quark sector are also related. We find,
however, that such connection is rather weak due to the large hierarchy in the
bi-doublet VEV required by a realistic quark sector.Comment: RevTeX4, 21 pages; v2: references added, version to appear in Phys.
Rev.
Spectroscopy of -States in Quark Model and Baryon-Antibaryon Enhancements
We study the mass spectrum of the mesons both from
the quark model with triquark correlations and from common quark model with
colormagnetic interactions and with relative S-waves between quarks. Two
cluster configurations and
are considered. In the spectrum
we find rather stable states which have the same quantum number with particle
resonances which are corresponding to the enhancement,
enhancement and enhancement with
spin- or . This imply these enhancements are NOT
experimental artifacts. The color-spin-flavor structures of ,
, and enhancements are revealed. The
existence of spin-
enhancements is predicted.Comment: 45 pages, 5 figure
Dirac Leptogenesis with a Non-anomalous Family Symmetry
We propose a model for Dirac leptogenesis based on a non-anomalous
gauged family symmetry. The anomaly cancellation conditions are
satisfied with no new chiral fermions other than the three right-handed
neutrinos, giving rise to stringent constraints among the charges. Realistic
masses and mixing angles are obtained for all fermions. The model predicts
neutrinos of the Dirac type with naturally suppressed masses. Dirac
leptogenesis is achieved through the decay of the flavon fields. The cascade
decays of the vector-like heavy fermions in the Froggatt-Nielsen mechanism play
a crucial role in the separation of the primodial lepton numbers. We find that
a large region of parameter space of the model gives rise to a sufficient
cosmological baryon number asymmetry through Dirac leptogenesis.Comment: 8 pages, 8 figures, version to appear in JHE
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