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

TL;DR

This paper calculates next-to-leading order QCD corrections to the energy distribution of B-hadrons produced in top quark decays within the two-Higgs-doublet model, emphasizing the importance of the GM-VFN scheme for accurate predictions.

Contribution

It provides the first analytic NLO corrections to the B-hadron energy spectrum in top decay considering the b-quark mass using the GM-VFN scheme in the 2HDM.

Findings

GM-VFN scheme yields the most reliable B-hadron energy spectrum predictions.

Inclusion of b-quark mass effects significantly impacts the energy distribution.

Results are consistent with experimental data from $e^+e^-$ colliders.

Abstract

We present our analytic results for the NLO corrections to the partial decay width $t\to H^+b$ 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 the energy distribution of the outgoing bottom-flavored hadron (B-hadron) as a function of the normalized B-energy fraction $x_B$, we apply the General-Mass Variable-Flavor-Number scheme (GM-VFNs) in the two-Higgs-doublet model. To extract the results we use data from $e^+e^-$ machines in order to describe both the b-quark and the gluon hadronizations in top decay. We find that the most reliable prediction for the B-hadron energy spectrum is made in the GM-VFN scheme.