1,188 research outputs found
Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
In all mass cases needed for quark and gluon self-energies, the two-loop
master diagram is expanded at large and small , in dimensions, using
identities derived from integration by parts. Expansions are given, in terms of
hypergeometric series, for all gluon diagrams and for all but one of the quark
diagrams; expansions of the latter are obtained from differential equations.
Pad\'{e} approximants to truncations of the expansions are shown to be of great
utility. As an application, we obtain the two-loop photon self-energy, for all
, and achieve highly accelerated convergence of its expansions in powers of
or , for .Comment: 25 pages, OUT--4102--43, BI--TP/92--5
Using Weak Lensing Dilution to Improve Measurements of the Luminous and Dark Matter in A1689
The E/SO sequence of a cluster defines a boundary redward of which a reliable
weak lensing signal can be obtained from background galaxies, uncontaminated by
cluster members. For bluer colors, both background and cluster members are
present, reducing the distortion signal by the proportion of unlensed cluster
members. In deep Subaru and HST/ACS images of A1689 the tangential distortion
of galaxies with bluer colors falls rapidly toward the cluster center relative
to the lensing signal of the red background. We use this dilution effect to
derive the cluster light profile and luminosity function to large radius, with
the advantage that no subtraction of far-field background counts is required.
The light profile declines smoothly to the limit of the data, r<2Mpc/h, with a
constant slope, dlog(L)/dlog(r)=-1.12+-0.06, unlike the lensing mass profile
which steepens continuously with radius, so that M/L peaks at an intermediate
radius, ~100kpc/h. A flatter behavior is found for the more physically
meaningful ratio of dark-matter to stellar-matter, when accounting for the
color-mass relation of cluster members. The cluster luminosity function has a
flat slope, alpha=-1.05+-0.07, independent of radius and with no faint upturn
to M_i'<-12. We establish that the very bluest objects are negligibly
contaminated by the cluster V-i'<0.2, because their distortion profile rises
towards the center following the red background, but offset higher by ~20%.
This larger amplitude is consistent with the greater estimated depth of the
faint blue galaxies, z~=2.0 compared to z~=0.85 for the red background, a
purely geometric effect related to cosmological parameters. Finally, we improve
upon our earlier mass profile by combining both the red and blue background
populations, clearly excluding low concentration CDM profiles.Comment: 17 pages, 21 figures, revised version in response to referee
comments,(added some discussion, references), conclusions unchanged. Accepted
for publication in Ap
Managing shoulder pain in general practice: The value of academic detailing
Copyright © Royal Australian College of General Practitioners Copyright to Australian Family Physician. Reproduced with permission. Permission to reproduce must be sought from the publisher, The Royal Australian College of General Practitioners.After low back pain and neck pain, shoulder pain is the third musculoskeletal reason for presentation to general practice, with a self reported prevalence of 16-26%. Approximately 1% of the adult population is expected to visit a general practitioner annually for shoulder pain. Shoulder complaints are more common in women and despite the fact that 50% of acute shoulder pain resolves in 8-10 weeks, many patients present with the anticipation of being referred for imaging.Norman A. Broadhurst, Christopher A. Barton, Lisa N. Yelland, David K. Martin and Justin J. Beilb
BIMA and Keck Imaging of the Radio Ring PKS 1830-211
We discuss BIMA (Berkeley Illinois Maryland Association) data and present new
high quality optical and near-IR Keck images of the bright radio ring PKS
1830-211. Applying a powerful new deconvolution algorithm we have been able to
identify both images of the radio source. In addition we recover an extended
source in the optical, consistent with the expected location of the lensing
galaxy. The source counterparts are very red, I-K=7, suggesting strong Galactic
absorption with additional absorption by the lensing galaxy at z=0.885, and
consistent with the detection of high redshift molecules in the lens.Comment: To be published in the ASP Conference Proceedings, 'Highly Redshifted
Radio Lines', Greenbank, W
Flotation of coal and sulphur from South African ultrafine colliery wastes
Flotation of coal and sulphur from a typical South African ultrafine
colliery waste has been achieved in laboratory-scale batch flotation
tests, using dodecane, kerosene, and oleic acid as coal collectors, and
xanthates to float the sulphide minerals (with the aid of dextrin as a
coal depressant). The use of oleic acid as collector, in conjunction
with MIBC frother, produced a coal yield of 56 per cent (much more
than was obtained with dodecane or kerosene) at an ash content of
18 per cent, from a feed ash of 34.4 per cent; and a low- sulphur
tailings. Sulphide flotation using potassium xanthate (PAX)
recovered 26.3 per cent of the total sulphur in the concentrate.
Staged addition of xanthate increased the total sulphur recovery to
42.1 per cent and reduced the sulphur content of the tailing further
Detection of Evolved High-Redshift Galaxies in Deep NICMOS/VLT Images
A substantial population of high redshift early-type galaxies is detected in
very deep UBVRIJHK images towards the HDF-South. Four elliptical profile
galaxies are identified in the redshift range z=1-2, all with very red SEDs,
implying ages of >2 Gyrs for standard passive evolution. We also find later
type IR-luminous galaxies at similarly high redshift, (10 objects with z>1,
H1 Gyr. The number
and luminosity-densities of these galaxies are comparable with the local
E/SO-Sbc populations for \Omega_m>0.2, and in the absence of a significant
cosmological constant, we infer that the major fraction of luminous
Hubble-sequence galaxies have evolved little since z~2. A highly complete
photometric redshift distribution is constructed to H=25 (69 galaxies) showing
a broad spread of redshift, peaking at z~1.5, in reasonable agreement with some
analyses of the HDF. Five `dropout' galaxies are detected at z~3.8, which are
compact in the IR, ~0.5 kpc/h at rest 3500\AA. No example of a blue IR luminous
elliptical is found, restricting the star-formation epoch of ellipticals to
z>10 for a standard IMF and modest extinction.Comment: 7 pages, 3 figures, accepted for publication in Astrophysical Journal
Letters, discussion of clustering added, color image available at
http://astro.berkeley.edu/~tjb/nic3.htm
Comparison of an X-ray selected sample of massive lensing clusters with the MareNostrum Universe LCDM simulation
A long-standing problem of strong lensing by galaxy clusters regards the
observed high rate of giant gravitational arcs as compared to the predictions
in the framework of the "standard" cosmological model. Recently, few other
inconsistencies between theoretical expectations and observations have been
claimed which regard the large size of the Einstein rings and the high
concentrations of few clusters with strong lensing features. All of these
problems consistently indicate that observed galaxy clusters may be
gravitational lenses stronger than expected. We use clusters extracted from the
MareNostrum Universe to build up mock catalogs of galaxy clusters selected
through their X-ray flux. We use these objects to estimate the probability
distributions of lensing cross sections, Einstein rings, and concentrations for
the sample of 12 MACS clusters at presented in Ebeling et al. (2007)
and discussed in Zitrin et al. (2010). We find that simulated clusters produce
less arcs than observed clusters do. The medians of the
distributions of the Einstein ring sizes differ by between
simulations and observations. We estimate that, due to cluster triaxiality and
orientation biases affecting the lenses with the largest cross sections, the
concentrations of the individual MACS clusters inferred from the lensing
analysis should be up to a factor of larger than expected from the
CDM model. The arc statistics, the Einstein ring, and the
concentration problems in strong lensing clusters are mitigated but not solved
on the basis of our analysis. Nevertheless, due to the lack of redshifts for
most of the multiple image systems used for modeling the MACS clusters, the
results of this work will need to be verified with additional data. The
upcoming CLASH program will provide an ideal sample for extending our
comparison (abridged).Comment: 11 pages, 9 figures, accepted for publication on A&
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