2nd Black Book - CP3-Origins

hadronic collision. We discuss observables relevant for confronting the perturbative framework
with 7 TeV data from the LHC, and the impact of the perturbative corrections on several dijet
and trijet observables which are relevant in the search for new physics.
Multiple Jets at the LHC with High Energy Jets.
Jeppe R. Andersen, (Southern Denmark U., CP3-Origins) , Jennifer M. Smillie, (Edinburgh U.) . CP3-
ORIGINS-2011-02, EDINBURGH-2011-03, Jan 2011. 37pp.
e-Print: arXiv:1101.5394 [hep-ph]
Near Future
We are determined to continue understanding strong dynamics and investigating its large potential
impact on the construction of sensible extensions of the Standard Model of particle physics,
dark matter genesis and characterization, as well as the origin of the rapid expansion of the
universe via models of composite inflation. Understanding strong dynamics is also crucial for a
better understanding of the large amount of data coming from the Large Hadron collider. We
will be using analytical and High Performance Computing to achieve our goals.
Progress will be measured by the high quality of the scientific output of the team in the form of
peer-reviewed research papers, proceedings and invited presentations at international conferences.
We will constantly keep us updated with respect to recent experimental results and theoretical
developments and will adjust our research plan to maximize our scientific impact.
Beyond Particle Physics
The geometry group at SDU provides the mathematical soul of the centre and is involved in
providing a strong training in mathematics and complementary expertise for the high energy
component. SM extensions have a significant mathematical content, particularly in the form of
differential geometry, Lie group theory and topology. In particular the areas of research they
have been involved in are: Harmonic maps and uniton factorizations, Timelike constant mean
curvature surfaces, Harmonic morphisms from three-dimensional Lie Groups.
Multi-moments maps
We introduce a notion of moment map adapted to actions of Lie groups that preserve a closed
three-form. We show existence of our multi-moment maps in many circumstances, including
mild topological assumptions on the underlying manifold. Such maps are also shown to exist
for all groups whose second and third Lie algebra Betti numbers are zero. We show that these
form a special class of solvable Lie groups and provide a structural characterisation. We provide
many examples of multi-moment maps for different geometries and use them to describe manifolds
with holonomy contained in (G_2) preserved by a two-torus symmetry in terms of trisymplectic
geometry of four-manifolds.
Multi-moments maps.
Thomas Bruun Madsen and Andrew Swann (CP3-Origins), CP3-ORIGINS-2010-53.
e-Print: arXiv:1012.2048 [math.DG]
The Geometric Cauchy Problem
The geometric Cauchy problem for a class of surfaces in a pseudo-Riemannian manifold of dimension
3 is to find the surface which contains a given curve with a prescribed tangent bundle
28 CP³-Black book