33 research outputs found
Nullification of multi-Higgs threshold amplitudes in the Standard Model
We show that nullification of all tree-order threshold amplitudes involving
Higgs particles in the Standard Model occurs, provided that certain equations
relating the masses of all existing elementary particles to the mass of the
Higgs scalar are satisfied. The possible role of these relations in restoring
the high-multiplicity unitarity and their phenomenological relevance are
briefly discussed.Comment: CERN-TH.6853/93, 9 pages, Late
Multiscalar amplitudes to all orders in perturbation theory
A method for calculating loop amplitudes at the multiboson threshold is
presented, based on Feynman-diagram techniques. We explicitly calculate the
one-loop amplitudes in both -symmetric and broken symmetry cases, using
dimensional regularization. We argue that, to all orders in the perturbation
expansion, the unitarity-violating behaviour of the tree-order amplitudes
persists.Comment: 7 pages, Latex, CERN-TH.6852/9
On the nullification of threshold amplitudes
The nullification of threshold amplitudes is considered within the
conventional framework of quantum field theory. The relevant Ward identities
for the reduced theory are derived both on path-integral and diagrammatic
levels. They are then used to prove the vanishing of tree-graph threshold
amplitudes.Comment: 16 page
Nonperturbative bound on high multiplicity cross sections in phi^4_3 from lattice simulation
We have looked for evidence of large cross sections at large multiplicities
in weakly coupled scalar field theory in three dimensions. We use spectral
function sum rules to derive bounds on total cross sections where the sum can
be expresed in terms of a quantity which can be measured by Monte Carlo
simulation in Euclidean space. We find that high multiplicity cross sections
remain small for energies and multiplicities for which large effects had been
suggested.Comment: 23 pages, revtex, seven eps figures revised version: typos corrected,
some rewriting of discusion, same resul
Spinor techniques for massive fermions with arbitrary polarization
We present a new variant of the spinor techniques for calculating the
amplitudes of processes involving massive fermions with arbitrary polarization.
It is relatively simple and leads to basic spinor products. Our procedure is
not more complex than CALCUL spinor techniques for massless fermions. We obtain
spinor Chisholm identities for massive fermions. As an illustration,
expressions are given for the amplitudes of electron-positron annihilation into
fermions-pairs for several polarizations.Comment: 14 pages, 2 figure
Trilinear Gauge Boson Couplings in the MSSM
We study the C and P even WW\gamma and WWZ trilinear gauge boson vertices
(TGV's), in the context of the MSSM assuming that the external W's are on their
mass shell. We find that for energies less than 200 GeV squark and slepton
contributions to the aforementioned couplings are two orders of magnitude
smaller than those of the Standard Model (SM). In the same energy range the
bulk of the supersymmetric Higgs corrections to the TGV's is due to the
lightest neutral Higgs, h_0, whose contribution is like that of a Standard
Model Higgs of the same mass. The contributions of the Neutralinos and
Charginos are sensitive to the input value for the soft gaugino mass M_{1/2},
being more pronounced for values M_{1/2} < 100 GeV. In this case and in the
unphysical region, 0 < \sqrt{s} < 2 M_W , their contributions are substantially
enhanced resulting in large corrections to the static quantities of the W
boson. However, such an enhancement is not observed in the physical region. In
general for 2 M_W < \sqrt{s} < 200 GeV the MSSM predictions differ from those
of the SM but they are of the same order of magnitude. To be detectable
deviations from the SM require sensitivities reaching the per mille level and
hence unlikely to be observed at LEP200. For higher energies SM and MSSM
predictions exhibit a fast fall off behaviour, in accord with unitarity
requirements, getting smaller,in most cases, by almost an order of magnitude
already at energies \sqrt{s} 0.5 TeV.Comment: 16 pages, late
Quantum Extremism: Effective Potential and Extremal Paths
The reality and convexity of the effective potential in quantum field
theories has been studied extensively in the context of Euclidean space-time.
It has been shown that canonical and path-integral approaches may yield
different results, thus resolving the `convexity problem'. We discuss the
transferral of these treatments to Minkowskian space-time, which also
necessitates a careful discussion of precisely which field configurations give
the dominant contributions to the path integral. In particular, we study the
effective potential for the N=1 linear sigma model.Comment: 11 pages, 4 figure
The Path-Integral Approach to the N=2 Linear Sigma Model
In QFT the effective potential is an important tool to study symmetry
breaking phenomena. It is known that, in some theories, the canonical approach
and the path-integral approach yield different effective potentials. In this
paper we investigate this for the Euclidean N=2 linear sigma model. Both the
Green's functions and the effective potential will be computed in three
different ways. The relative merits of the various approaches are discussed.Comment: 2 figure
How Big Can Anomalous W Couplings Be?
Conventional wisdom has it that anomalous gauge-boson self-couplings can be
at most a percent or so in size. We test this wisdom by computing these
couplings at one loop in a generic renormalizable model of new physics. (For
technical reasons we consider the CP-violating couplings here, but our results
apply more generally.) By surveying the parameter space we find that the
largest couplings (several percent) are obtained when the new particles are at
the weak scale. For heavy new physics we compare our findings with expectations
based on an effective-lagrangian analysis. We find general patterns of induced
couplings which robustly reflect the nature of the underlying physics. We build
representative models for which the new physics could be first detected in the
anomalous gauge couplings.Comment: 40 pages, 11 figures, (dvi file and figures combined into a uuencoded
compressed file), (We correct an error in eq. 39 and its associated figure
(9). No changes at all to the text.), McGill-93/40, UQAM-PHE-93/03,
NEIPH-93-00