Relating bottom quark mass in DR-bar and MS-bar regularization schemes

Abstract

The value of the bottom quark mass at M_Z in the DR-bar scheme is an important input for the analysis of supersymmetric models with a large value of tan(beta). Conventionally, however, the running bottom quark mass extracted from experimental data is quoted in the MS-bar scheme at the bottom mass scale. We describe a two loop procedure for the conversion of the bottom quark mass from MS-bar to DR-bar scheme. The Particle Data Group value m_b(m_b) = 4.2 \pm 0.2 GeV in the MS-bar scheme corresponds to a range of 2.65-3.03 GeV for m_b(M_Z) in the DR-bar scheme.