2018 Impact factor 4.843
Particles and Fields
Eur. Phys. J. C 12, 331-342
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 $\tan \beta$, 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