128 research outputs found
Reconstructing the primordial power spectrum from the CMB
We propose a straightforward and model independent methodology for
characterizing the sensitivity of CMB and other experiments to wiggles,
irregularities, and features in the primordial power spectrum. Assuming that
the primordial cosmological perturbations are adiabatic, we present a function
space generalization of the usual Fisher matrix formalism, applied to a CMB
experiment resembling Planck with and without ancillary data. This work is
closely related to other work on recovering the inflationary potential and
exploring specific models of non-minimal, or perhaps baroque, primordial power
spectra. The approach adopted here, however, most directly expresses what the
data is really telling us. We explore in detail the structure of the available
information and quantify exactly what features can be reconstructed and at what
statistical significance.Comment: 43 pages Revtex, 23 figure
Heavy quark symmetry constraints on semileptonic form factors and decay widths of doubly heavy baryons
We show how heavy quark symmetry constraints on doubly heavy baryon
semileptonic decay widths can be used to test the validity of different quark
model calculations. The large discrepancies in the results observed between
different quark model approaches can be understood in terms of a severe
violation of heavy quark spin symmetry constraints by some of those models.Comment: 10 LaTex pages, 3 figures, 6 tables. Corrected and enlarged versio
Discrete Moyal-type representations for a spin
In Moyal’s formulation of quantum mechanics, a quantum spin s is described in terms of continuous symbols, i.e., by smooth functions on a two-dimensional sphere. Such prescriptions to associate operators with Wigner functions, P or Q symbols, are conveniently expressed in terms of operator kernels satisfying the Stratonovich-Weyl postulates. In analogy to this approach, a discrete Moyal formalism is defined on the basis of a modified set of postulates. It is shown that appropriately modified postulates single out a well-defined set of kernels that give rise to discrete symbols. Now operators are represented by functions taking values on (2s+1)2 points of the sphere. The discrete symbols contain no redundant information, contrary to the continuous ones. The properties of the resulting discrete Moyal formalism for a quantum spin are worked out in detail and compared to the continuous formalism
Test of the heavy quark-light diquark approximation for baryons with a heavy quark
We check a commonly used approximation in which a baryon with a heavy quark
is described as a heavy quark-light diquark system. The heavy quark influences
the diquark internal motion reducing the average distance between the two light
quarks. Besides, we show how the average distance between the heavy quark and
any of the light quarks, and that between the heavy quark and the center of
mass of the light diquark, are smaller than the distance between the two light
quarks, which seems to contradict the heavy quark-light diquark picture. This
latter result is in agreement with expectations from QCD sum rules and lattice
QCD calculations. Our results also show that the diquark approximations
produces larger masses than the ones obtained in a full calculation.Comment: 9 latex pages, 5 figures, 6 table
Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
We study the consequences of imposing an approximate Galilean symmetry on the
Effective Theory of Inflation, the theory of small perturbations around the
inflationary background. This approach allows us to study the effect of
operators with two derivatives on each field, which can be the leading
interactions due to non-renormalization properties of the Galilean Lagrangian.
In this case cubic non-Gaussianities are given by three independent operators,
containing up to six derivatives, two with a shape close to equilateral and one
peaking on flattened isosceles triangles. The four-point function is larger
than in models with small speed of sound and potentially observable with the
Planck satellite.Comment: 23 pages, 6 figures. v2: minor changes to match JCAP published
versio
Relativistic effects and primordial non-Gaussianity in the galaxy bias
When dealing with observables, one needs to generalize the bias relation
between the observed galaxy fluctuation field to the underlying matter
distribution in a gauge-invariant way. We provide such relation at second-order
in perturbation theory adopting the local Eulerian bias model and starting from
the observationally motivated uniform-redshift gauge. Our computation includes
the presence of primordial non-Gaussianity. We show that large scale-dependent
relativistic effects in the Eulerian bias arise independently from the presence
of some primordial non-Gaussianity. Furthermore, the Eulerian bias inherits
from the primordial non-Gaussianity not only a scale-dependence, but also a
modulation with the angle of observation when sources with different biases are
correlated.Comment: 12 pages, LaTeX file; version accepted for publication in JCA
Diseño y validación de la Escala de Percepción hacia la Investigación Educativa en profesores universitarios y no universitarios
This article aims to design and validate a scale of perception towards educational research. The instrument, which was applied to a sample of 324 university and non-university teachers, is made up of three dimensions: Value towards educational research, Involvement with educational research, and Competence in educational research. The results revealed excellent goodness-of-fit and reliability values, making its use relevant for the academic and educational field. In addition, statistically significant differences were found in the three dimensions of the instrument in favour of university teachers. These results provide important theoretical and practical implications.El presente artículo tiene como objetivo diseñar y validar una escala de percepción hacia la investigación educativa. El instrumento, que se aplicó con una muestra de 324 profesores universitarios y no universitarios, está formado por tres dimensiones: Valor hacia la investigación educativa, Implicación con la investigación educativa y Competencia en investigación educativa. Los resultados arrojaron unos valores de bondad de ajuste y fiabilidad excelentes, haciendo que su uso sea pertinente para el ámbito académico y educativo. Asimismo, se hallaron diferencias estadísticamente significativas en las tres dimensiones del instrumento a favor del profesorado universitario. Estos resultados aportan implicaciones teóricas y prácticas relevantes
Scale-Dependent Non-Gaussianity as a Generalization of the Local Model
We generalize the local model of primordial non-Gaussianity by promoting the
parameter fNL to a general scale-dependent function fNL(k). We calculate the
resulting bispectrum and the effect on the bias of dark matter halos, and thus
the extent to which fNL(k) can be measured from the large-scale structure
observations. By calculating the principal components of fNL(k), we identify
scales where this form of non-Gaussianity is best constrained and estimate the
overlap with previously studied local and equilateral non-Gaussian models.Comment: Accepted to JCAP. 22 pages, 4 figure
Signatures of very high energy physics in the squeezed limit of the bispectrum (violation of Maldacena's condition)
We investigate the signatures in the squeezed limit of the primordial scalar
bispectrum due to modifications of the standard theory at high energy. In
particular, we consider the cases of modified dispersion relations and/or
modified initial quantum state (both in the Boundary Effective Field Theory and
in the New Physics Hyper-Surface formulations). Using the in-in formalism we
study in details the squeezed limit of the contributions to the bispectrum from
all possible cubic couplings in the effective theory of single-field inflation.
We find general features such as enhancements and/or non-local shape of the
non-Gaussianities, which are relevant, for example, for measurements of the
halo bias and which distinguish these scenarios from the standard one (with
Bunch-Davies vacuum as initial state and standard kinetic terms). We find that
the signatures change according to the magnitude of the scale of new physics,
and therefore several pieces of information regarding high energy physics could
be obtained in case of detection of these signals, especially bounds on the
scales of new physics.Comment: 37 pages plus bibliography, version matching the one accepted for
publication by JCAP. Increased pedagogical comments, improved presentation
and text, added reference
Signatures of Primordial non-Gaussianities in the Matter Power-Spectrum and Bispectrum: the Time-RG Approach
We apply the time-renormalization group approach to study the effect of
primordial non-Gaussianities in the non-linear evolution of cosmological dark
matter density perturbations. This method improves the standard perturbation
approach by solving renormalization group-like equations governing the dynamics
of gravitational instability. The primordial bispectra constructed from the
dark matter density contrast and the velocity fields represent initial
conditions for the renormalization group flow. We consider local, equilateral
and folded shapes for the initial non-Gaussianity and analyze as well the case
in which the non-linear parameter f_{NL} parametrizing the strength of the
non-Gaussianity depends on the momenta in Fourier space through a power-law
relation, the so-called running non-Gaussianity. For the local model of
non-Gaussianity we compare our findings for the power-spectrum with those of
recent N-body simulations and find that they accurately fit the N-body data up
to wave-numbers k \sim 0.25 h/Mpc at z=0. We also present predictions for the
(reduced) matter bispectra for the various shapes of non-Gaussianity.Comment: 27 pages, 12 figures. Results and discussion for a particular case
added. One figure and one reference added. Matches with the version accepted
for publication in the JCAP
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