Eur. Phys. J. C (2012) 72: 2224
https://doi.org/10.1140/epjc/s10052-012-2224-6

Regular Article - Theoretical Physics

corrections to the B-hadron energy distribution of the top decay in the general two Higgs doublet model considering GM-VFN scheme

¹ Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran
² School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

^* e-mail: moosavi@ipm.ir

Received: 12 September 2012
Revised: 22 October 2012
Published online: 9 November 2012

Abstract

We present our analytic results for the NLO corrections to the partial decay width t→H ⁺ b followed by b→BX for nonzero b-quark mass (m _b ≠0) in the Fixed-Flavor-Number scheme (FFNs) taking the H ⁺ boson to be stable. 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 general two Higgs doublet model (2HDM). In order to describe both the b-quark and the gluon hadronizations in top decay we use fragmentation functions extracted from data from e ⁺ e ⁻ machines. We find that the most reliable prediction for the B-hadron energy spectrum is made in the GM-VFN scheme, especially when the second model in the general 2HDM is considered.