Since there is no fundamental charged scalar boson in the Standard Model (SM) of particle physics then the discovery of each charged scalar boson would clearly represent an instant evidence of physics beyond the SM. In this regard, searching for charged Higgs bosons is unique and have been the center of attention of colliders such as the CERN LHC. In the present work, we study a proposed channel to search for heavy charged Higgses at the current and future colliders. In this channel we study the scaled-energy distribution of bottom-flavored mesons ($B$) inclusively produced in heavy charged Higgs decay, i.e., $H^{+}\to t\overline{b}\to B+X$. This study is performed within the framework of two Higgs doublet model using the general-mass variable-flavor-number scheme where the $b$-quark mass is preserved from the beginning. Our results will be compared with the ones calculated in the zero-mass variable-flavor-number scheme where the zero mass approximation is adopted for the bottom quark. We find that most reliable predictions can be achieved through the massive scheme.

• Received 19 July 2022
• Accepted 29 August 2022

DOI:https://doi.org/10.1103/PhysRevD.106.055040