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We present our analytic results for the NLO corrections to the partial decaywidth $t\to H^+b$ followed by $b\to BX$ for nonzero b-quark mass ($m_b\neq 0$)in the Fixed-Flavor-Number scheme (FFNs). To make our predictions for theenergy distribution of the outgoing bottom-flavored hadron (B-hadron) as afunction of the normalized B-energy fraction $x_B$, we apply the General-MassVariable-Flavor-Number scheme (GM-VFNs) in the two-Higgs-doublet model. Toextract the results we use data from $e^+e^-$ machines in order to describeboth the b-quark and the gluon hadronizations in top decay. We find that themost reliable prediction for the B-hadron energy spectrum is made in the GM-VFNscheme.

european physical journal. c, particles and fields

${\cal O}(\alpha_s)$ corrections to the B-hadron energy distribution of  the top decay in the Minimal Supersymmetric Standard Model considering GM-VFN  scheme