53 research outputs found
Nonperturbative three-point functions of the O(N) sigma model in the 1/N expansion at NLO
We present a calculation of the three-point functions of the O(N)-symmetric
sigma model. The calculation is done nonperturbatively by means of a
higher-order 1/N expansion combined with a tachyonic regularization which we
proposed in previous publications. We use the results for calculating the
standard model process ff -> H -> WW nonperturbatively in the quartic coupling
of the scalar sector
Muon colliders and the non-perturbative dynamics of the Higgs boson
A muon collider operating in the TeV energy range can be an ideal s-channel
Higgs boson factory. This is especially true for a heavy Higgs boson. The
non-perturbative dynamical aspects of such a Higgs boson were recently
investigated with large N expansion methods at next to leading order, and
reveal the existence of a mass saturation effect. Even at strong coupling, the
Higgs resonance remains always below 1 TeV. However, if the coupling is strong
enough, the resonance becomes impossible to be detected.Comment: Contributed to the International Conference on Physics Potential and
Development of mumu Colliders, December 15-17, 1999, San Francisco, C
Loops and legs beyond perturbation theory
Within the non-perturbative 1/N expansion, we discuss numerical methods for
calculating multi-loop Feynman graph needed to derive physical scattering
amplitudes. We apply higher order 1/N methods to the scalar sector of the
standard model, and show the existence of a mass saturation effect. The mass
saturation has direct implications for future searches at the LHC and at
possible muon colliders.Comment: Talk presented at the Loops and Legs in Quantum Field Theory 2000
meetin
Recent Progress in the Golem Project
We report on the current status of the Golem project which aims at the
construction of a general one-loop evaluator for matrix elements. We construct
the one-loop matrix elements from Feynman diagrams in a highly automated way
and provide a library for the reduction and numerically stable evaluation of
the tensor integrals involved in this approach. Furthermore, we present
applications to physics processes relevant for the LHC.Comment: 7 pages, 4 figures, contrib. to proceedings of "Loops and Legs in
Quantum Field Theory", 10th DESY Workshop on Elementary Particle Theory,
25-30 April 2010, Woerlitz, German
Gluon-induced W-boson pair production at the LHC
Pair production of W bosons constitutes an important background to Higgs
boson and new physics searches at the Large Hadron Collider LHC. We have
calculated the loop-induced gluon-fusion process gg -> W*W* -> leptons,
including intermediate light and heavy quarks and allowing for arbitrary
invariant masses of the W bosons. While formally of next-to-next-to-leading
order, the gg -> W*W* -> leptons process is enhanced by the large gluon flux at
the LHC and by experimental Higgs search cuts, and increases the
next-to-leading order WW background estimate for Higgs searches by about 30%.
We have extended our previous calculation to include the contribution from the
intermediate top-bottom massive quark loop and the Higgs signal process. We
provide updated results for cross sections and differential distributions and
study the interference between the different gluon scattering contributions. We
describe important analytical and numerical aspects of our calculation and
present the public GG2WW event generator.Comment: 20 pages, 4 figure
NLO Cross Sections for the LHC using GOLEM: Status and Prospects
In this talk we review the GOLEM approach to one-loop calculations and
present an automated implementation of this technique. This method is based on
Feynman diagrams and an advanced reduction of one-loop tensor integrals which
avoids numerical instabilities. We have extended our one-loop integral library
golem95 with an automated one-loop matrix element generator to compute the
virtual corrections of the process . The
implementation of the virtual matrix element has been interfaced with
tree-level Monte Carlo programs to provide the full result for the above
process.Comment: 8 pages, 1 figure, contribution to the proceedings of the 9th
International Symposium on Radiative Corrections (RADCOR 2009), October 25-30
2009, Ascona, Switzerlan
On the position of a heavy Higgs pole
Higher loop calculations in the Higgs sector of the standard model at the
Higgs mass scale have shown that perturbation theory diverges very badly at
about 1 TeV in the on-shell renormalization scheme. The prediction of the
position of the Higgs pole in the complex s-plane becomes unreliable. We show
that in the pole renormalization scheme this appears to have much better
convergence properties, while showing good agreement with the on-shell scheme
over the validity range of the latter. This suggests that the pole scheme
should be preferable for phenomenological studies of heavy Higgs bosons. We
discuss whether this behaviour can be the result of a certain relation between
the on-shell mass and the pole mass at the nonperturbative level.Comment: replaced by the published version, 12 pages LaTex, 3 eps figures
include
An algebraic/numerical formalism for one-loop multi-leg amplitudes
We present a formalism for the calculation of multi-particle one-loop
amplitudes, valid for an arbitrary number N of external legs, and for massive
as well as massless particles. A new method for the tensor reduction is
suggested which naturally isolates infrared divergences by construction. We
prove that for N>4, higher dimensional integrals can be avoided. We derive many
useful relations which allow for algebraic simplifications of one-loop
amplitudes. We introduce a form factor representation of tensor integrals which
contains no inverse Gram determinants by choosing a convenient set of basis
integrals. For the evaluation of these basis integrals we propose two methods:
An evaluation based on the analytical representation, which is fast and
accurate away from exceptional kinematical configurations, and a robust
numerical one, based on multi-dimensional contour deformation. The formalism
can be implemented straightforwardly into a computer program to calculate
next-to-leading order corrections to multi-particle processes in a largely
automated way.Comment: 71 pages, 7 figures, formulas for rank 6 pentagons added in Appendix
Testing nonperturbative techniques in the scalar sector of the standard model
We discuss the current picture of the standard model's scalar sector at
strong coupling. We compare the pattern observed in the scalar sector in
perturbation theory up to two-loop with the nonperturbative solution obtained
by a next-to-leading order 1/N expansion. In particular, we analyze two
resonant Higgs scattering processes, ff -> H -> f'f' and ff -> H -> ZZ, WW. We
describe the ingredients of the nonperturbative calculation, such as the
tachyonic regularization, the higher order 1/N intermediate renormalization,
and the numerical methods for evaluating the graphs.
We discuss briefly the perspectives and usefulness of extending these
nonperturbative methods to other theories
New developments in the 1/N expansion and nonperturbative Higgs physics
We show in this paper that the 1/N expansion is a reliable tool to calculate
the properties of a heavy Higgs boson. The 1/N expansion sums up all orders in
perturbation theory, and therefore avoids the renormalization scheme dependence
of the conventional perturbative approach. It is explained how effects due to
the Landau pole of the Higgs sector are isolated and subtracted, and how to
perform actual calculations, by computing the Higgs line shape for the
processes f\bar f\to H \to ZZ,f'\bar f' at next-to-leading order in the 1/N
expansion. The results are compared to the perturbative results to show the
agreement between the perturbative and the nonperturbative approach for Higgs
masses up to 1 TeV. We conclude that the theoretical predictions for Higgs
observables are well under control for the entire kinematical region of the
LHC.Comment: 23 pages, latex, eps-figures include
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