DOI 10.1007/s100529900253
A convergent scheme for one-loop evolutions
of the Yukawa couplings in the MSSM
G. Auberson - G. Moultaka
Physique Mathématique et Théorique, UMR No 5825-CNRS,
Université Montpellier II, 34095 Montpellier Cedex 5, France
Received: 28 July 1999 / Published online: 16 November 1999
Abstract
Integrated forms of the one-loop evolution equations are given
for the
Yukawa couplings in the MSSM, valid for any value of
,
generalizable to virtually any number of Yukawa fermions, and
including all gauge couplings.
These forms
turn out to have nice mathematical convergence properties which
we prove,
and we determine the ensuing convergence criteria. Furthermore,
they
allow one to write down general sufficient and necessary conditions
to
avoid singularities in the evolution of the Yukawa couplings
over physically
relevant energy ranges.
We also comment briefly on the possible use of these features
for physics
issues and give a short numerical illustration.
Copyright Springer-Verlag 2000
