Running mass of the b-quark in QCD and SUSY QCD

TL;DR

This paper investigates the relationship between the b-quark running mass in SUSY QCD and standard QCD, proposing a new method to relate MSbar and DRbar schemes, with implications for MSSM spectrum calculations.

Contribution

It introduces a novel procedure to relate MSbar and DRbar parameters in QCD and SUSY QCD, accounting for heavy epsilon-scalars and enabling more accurate spectrum analysis.

Findings

Derived two-loop relation between QCD and SUSY QCD b-quark masses.

Proposed a new method to convert between MSbar and DRbar schemes.

Discussed the impact of these relations on MSSM spectrum calculations.

Abstract

The running mass of the b-quark defined in DRbar-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 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 MSbar-scheme is more natural than DRbar, we also propose a new procedure that allows one to calculate relations between MSbar- and DRbar-parameters. Unphysical epsilon-scalars that give rise to the difference between 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 DRbar to MSbar, at the same time. Explicit two-loop example of DRbar -> MSbar transition is given in the context of QCD. The advantages and disadvantages of the method are briefly discussed.