DOI 10.1007/s100520000263
The SM as the quantum low-energy effective theory of the MSSM
A. Dobado1 - M.J. Herrero2 - S. Peñaranda2
1 Departamento de Física Teórica,
Universidad Complutense de Madrid,
28040 Madrid, Spain
2 Departamento de Física Teórica,
Universidad Autónoma de Madrid,
Cantoblanco, 28049 Madrid, Spain
Received: 27 March 1999 / Revised version: 7 September 1999 /
Published online: 27 January 2000 - © Springer-Verlag 2000 2000
Abstract
In the framework of the minimal supersymmetric standard model
we compute
the one-loop effective action for the electroweak bosons obtained
after
integrating out the different sleptons, squarks, neutralinos
and
charginos, and present the result in terms of the physical sparticle
masses. In addition we study the asymptotic behavior of the two-,
three- and
four-point Green's functions with external electroweak bosons
in the limit
where the physical sparticle masses are very large in comparison
with the
electroweak scale. We find that in this limit all the effects
produced
by the supersymmetric particles can either be absorbed in the
standard model
parameters and gauge bosons wave functions,
or else they are suppressed by inverse powers of the supersymmetric
particle masses.
This work, therefore, completes the proof of decoupling of the
heavy
supersymmetric particles
from the standard ones in the electroweak bosons effective action
and
in the sense of the Appelquist-Carazzone theorem; we started
this proof
in a previous
work. From the point of view of effective field theories this
work can be
seen as a (partial) proof that the SM can indeed be obtained
from the MSSM
as the quantum low-energy effective theory of the latter when
the SUSY spectra
are much heavier than the electroweak scale.
Copyright Springer-Verlag 2000
