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

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 ($m_b\ne 0$) 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.

Comments: 8 pages, 6 figures. arXiv admin note: text overlap with arXiv:0911.3027, arXiv:1110.1601