Even disregarding the intrinsic necessity of some new
algorithm for numerical evaluation of one-loop diagrams, and
even in case it has no intrinsic necessity at all, a
probable decision about its goodness is possible inductively
by studying its success. Success here means fruitfulness in
consequences, in particular in verifiable consequences,
i.e., consequences demonstrable without the new algorithm,
whose proofs with the help of the new algorithm, however,
are considerably simpler and easier to discover, and make it
possible to contract into one proof many different proofs.

The decay of the Standard Model Higgs boson into four
fermions via a virtual W-boson or Z-boson pair is one of the
most important
decay modes in the Higgs-boson search at the LHC. We present
a calculation of the first order radiative corrections to
these processes, including higher order improvements. The
intermediate W- and Z-boson resonances are consistently
described using the complex mass scheme, which is explained
in the talk.  Numerical results for partial decay widths and
angular and invariant-mass distributions are shown.

I will discuss various technical aspects related to automated
QCD calculations at NLO:
- the recursive calculation of amplitudes,
- the organization of the colour structures,
- the automated generation of subtraction terms,
- the numerical tensor reduction of loop integrals.

I describe a parton-level Monte Carlo calculation of Drell-Yan
  production at next-to-next-to-leading order.  The calculation is
  performed with a subtraction scheme in which the subtraction term is
  the squared matrix element itself.

We show how to extract the coefficients of the 4-, 3-, 2-
and 1-point one-loop scalar integrals from the full one-loop
amplitude of arbitrary scattering processes. In a similar
fashion, also the rational terms can be derived. Basically no
information on the analytical structure of the amplitude is
required,
making our method appealing for an efficient numerical
implementation.

The loop-induced processes gg -> h,H,A provide the dominant Higgs boson
production mechanisms at the Tevatron and LHC in a large range of the
minimal supersymmetric extension of the Standard Model. For squark
masses below ~400 GeV squark loop contributions become important in
addition to the top and bottom quark loops. The two-loop QCD corrections
to the squark contributions of these processes are determined including
the full squark and Higgs mass dependences. They turn out to be of
O(10-100%) and thus important for the Tevatron and LHC experiments.
Squark mass effects of the K factors can be of O(20-30%).

After a very brief report on the status of the LHC preparations
(machine and detectors) I will try to summarize the current
understanding of how well specific hard scattering processes 
can be measured at the LHC, and what the relevance of these
measurements is. Examples are the Drell-Yan process, 
top production,  W/Z + jet as well as inclusive jet production.

Resummation of soft-gluon exchange for QCD hard scattering
requires an anomalous dimension matrix in color space.
We compute this matrix directly for arbitrary massless 
processes for the first time at two loops, and
show that it is proportional to the one-loop matrix.  
This result reproduces the 1/eps pole terms in previous explicit
two-loop computations, and predicts such terms for arbitrary processes.
The proportionality of the one- and two-loop matrices 
also makes it possible to resum in closed form the
next-to-next-to-leading logarithms for arbitrary processes.

In the calculation of NLO corrections to multi-leg processes serious numerical
problems arise in the commonly used Passarino-Veltman reduction of tensor to
scalar integrals in exceptional phase-space configurations.
In this talk two alternative methods are discussed solving this problem.
One of the methods relies on a seminumerical approach, in which a specific
tensor coefficient is evaluated numerically, replacing the standard scalar
integral in the list of basis integrals. The other method makes use of
expansions in terms of small Gram and (if needed) other kinematical
determinants. Both procedures have been successfully applied to the NLO
electroweak corrections to e+e- --> 4fermions.

We perform the all-order resummation of large logarithmic(NLL)
QCD corrections for the process pp ->H+ X when the Higgs boson H is
produced at high transverse momentum.

In this talk I review the status of our GOLEM project. The acronym stands 
for "General One-Loop Evaluator of Matrix-elements". This tool is designed 
to allow for an efficient and numerically stable evaluation of multi-particle
one-loop amplitudes which are needed for the precise description of 
numerous processes relevant for the upcoming LHC. First applications are presented.

Madgraph and Madevent are a well established tool to evaluate tree-level
amplitudes and create unweighted events for processes with a large number
of external particles at the LHC. For the Madgraph collaboration I review
the status, some physics complications and recent calculations of
Madgraph/Madevent for physics beyond the Standard Model.

We discuss how the twistor inspired methods can be used to derive compact
expressions for multi-parton amplitudes involving Higgs bosons (in the
limit that the top quark mass is heavy producing an effective Higgs-gluon
interaction).

I will discuss the construction of amplitudes at one-loop in QCD using
the unitarity bootstrap approach. I will detail the techniques needed to
build the rational contributions to these amplitudes as well as
highlighting not only their application to fixed-multiplicity amplitudes
but also to all-multiplicity amplitudes.

The recent progress for calculating gauge theory amplitudes may
also be applied to gravity calculations.  We find surprising
similarities between the perturbative  expansions of maximally
supersymmetric Yang-Mills and gravity theories.  We discuss possible
implications of these results for the UV behaviour of supergravity in D=4.