RUNNING MASS OF THE b-QUARK IN QCD AND SUSY QCD

Abstract

The running mass of the b-quark defined in [Formula: see text]-scheme is one of the important parameters of SUSY QCD. To find its value, it should be related to some known experimental input. In this paper, the b-quark running mass defined in nonsupersymmetric QCD is chosen for determination of the corresponding parameter in SUSY QCD. The relation between these two quantities is found by considering five-flavor QCD as an effective theory obtained from its supersymmetric extension. A numerical analysis of the calculated two-loop relation and its impact on the MSSM spectrum is discussed. Since for nonsupersymmetric models [Formula: see text]-scheme is more natural than [Formula: see text], we also propose a new procedure that allows one to calculate relations between [Formula: see text]- and [Formula: see text]-parameters. Unphysical ε-scalars that give rise to the difference between the above-mentioned schemes are assumed to be heavy and decoupled in the same way as physical degrees of freedom. By means of this method it is possible to "catch two rabbits," i.e. decouple heavy particles and turn from [Formula: see text] to [Formula: see text], at the same time. An explicit two-loop example of [Formula: see text] transition is given in the context of QCD. The advantages and disadvantages of the method are briefly discussed.