Speaker
Description
Precision studies of the Higgs boson at future $e^+e^-$ colliders can help to
shed light on fundamental questions related to electroweak symmetry breaking,
baryogenesis, the hierarchy problem, and dark matter.
The main production process, $e^+e^- \to HZ$, will need to be controlled with
sub-percent precision, which requires the inclusion of next-to-next-to-leading
order electroweak (NNLO) corrections. The most challenging class of diagrams are
planar and non-planar double-box topologies with multiple massive propagators in
the loops. This article proposes a technique for computing these diagrams
numerically, by transforming one of the sub-loops through the use of Feynman
parameters and a dispersion relation, while standard one-loop formulae can be
used for the other sub-loop. This approach can be extended to deal with tensor
integrals. The resulting numerical integrals can be evaluated in minutes on a
single CPU core, to achieve about 0.1% relative precision.
| Time Zone | Americas |
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