826 research outputs found
Beyond Heavy Top Limit In Higgs Boson Production At LHC
QCD corrections to inclusive Higgs boson production at the LHC are evaluated
at next-to-next-to leading order. By performing asymptotic expansion of the
cross section near the limit of infinitely heavy top quark we obtained a few
first top mass-suppressed terms. The corrections to the hadronic cross sections
are found to be small compared to the scale uncertainty, thus justifying the
use of heavy top quark approximation in many published results.Comment: Talk at Moriond QCD 2010 conference, La Thuile, March 13-20 201
Large mass expansion in two-loop QCD corrections of para-charmonium decay
We calculate the two-loop QCD corrections to paracharmonium decays and involving light-by-light
scattering diagrams with light quark loops. Artificial large mass expansion and
convergence improvement techniques are used to evaluate these corrections. The
obtained corrections to the decays and
account for and of the leading
order contribution, respectively.Comment: 24 pages, 10 figures; REVTeX version; Version to appear in Phys. Rev.
D, 9 pages, 4 figure
CONCRETE POLYTOPES MAY NOT TILE THE SPACE
Brandolini et al. conjectured in (Preprint, 2019) that all concrete lattice polytopes can multitile the space. We disprove this conjecture in a strong form, by constructing an infinite family of counterexamples in ℝ3
Concrete polytopes may not tile the space
Brandolini et al. conjectured that all concrete lattice polytopes can
multitile the space. We disprove this conjecture in a strong form, by
constructing an infinite family of counterexamples in .Comment: 6 page
Proceedings of the 2011 Joint Workshop of Fraunhofer IOSB and Institute for Anthropomatics, Vision and Fusion Laboratory
This book is a collection of 15 reviewed technical reports summarizing the presentations at the 2011 Joint Workshop of Fraunhofer IOSB and Institute for Anthropomatics, Vision and Fusion Laboratory. The covered topics include image processing, optical signal processing, visual inspection, pattern recognition and classification, human-machine interaction, world and situation modeling, autonomous system localization and mapping, information fusion, and trust propagation in sensor networks
Domes over curves
A closed piecewise linear curve is called integral if it is comprised of unit
intervals. Kenyon's problem asks whether for every integral curve in
, there is a dome over , i.e. whether is a
boundary of a polyhedral surface whose faces are equilateral triangles with
unit edge lengths. First, we give an algebraic necessary condition when
is a quadrilateral, thus giving a negative solution to Kenyon's
problem in full generality. We then prove that domes exist over a dense set of
integral curves. Finally, we give an explicit construction of domes over all
regular -gons.Comment: 16 figure
Domes over Curves
A closed piecewise linear curve is called integral if it is comprised of unit intervals. Kenyon\u27s problem asks whether for every integral curve γ in ℝ3, there is a dome over γ, i.e. whether γ is a boundary of a polyhedral surface whose faces are equilateral triangles with unit edge lengths. First, we give an algebraic necessary condition when γ is a quadrilateral, thus giving a negative solution to Kenyon\u27s problem in full generality. We then prove that domes exist over a dense set of integral curves. Finally, we give an explicit construction of domes over all regular n-gons
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