48,233 research outputs found
Relative Morsification Theory
In this paper we develope a Morsification Theory for holomorphic functions
defining a singularity of finite codimension with respect to an ideal, which
recovers most previously known Morsification results for non-isolated
singulatities and generalize them to a much wider context. We also show that
deforming functions of finite codimension with respect to an ideal within the
same ideal respects the Milnor fibration. Furthermore we present some
applications of the theory: we introduce new numerical invariants for
non-isolated singularities, which explain various aspects of the deformation of
functions within an ideal; we define generalizations of the bifurcation variety
in the versal unfolding of isolated singularities; applications of the theory
to the topological study of the Milnor fibration of non-isolated singularities
are presented. Using intersection theory in a generalized jet-space we show how
to interprete the newly defined invariants as certain intersection
multiplicities; finally, we characterize which invariants can be interpreted as
intersection multiplicities in the above mentioned generalized jet space.Comment: 56 pages, some typos correcte
Next-to-Next-to-Leading Order QCD Corrections to Higgs Boson Pair Production
We present the Higgs boson pair production cross section at
next-to-next-to-leading order in QCD within the large top-mass approximation.
Numerical results for the LHC are provided, finding an increase of O(20%) with
respect to the previous order prediction and a substantial reduction in the
scale dependence. We normalize our results using the full top- and bottom-mass
dependence at leading order.Comment: Proceedings of 'Loops & Legs 2014', Weimar (Germany), April/May 201
Spain
published or submitted for publicatio
Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD
We compute the next-to-next-to-leading order QCD corrections for Standard
Model Higgs boson pair production inclusive cross section at hadron colliders
within the large top-mass approximation. We provide numerical results for the
LHC, finding that the corrections are large, resulting in an increase of with respect to the next-to-leading order result at c.m. energy
. We observe a substantial reduction in the scale
dependence, with overlap between the current and previous order prediction. All
our results are normalized using the full top- and bottom-mass dependence at
leading order. We also provide analytical expressions for the K factors as a
function of
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