It is well-known that the dominant mechanism to produce hadronic bound states with large transverse momentum is fragmentation. This mechanism is described by the fragmentation functions (FFs) which are the universal and process-independent functions. Here, we review the perturbative FFs formalism as an appropriate tool for studying these hadronization processes and detail the extension of this formalism at next-to-leading order (NLO). Using the Suzuki's model, we calculate the perturbative QCD FF for a heavy quark to fragment into a S-wave heavy meson at NLO. As an example, we study the LO and NLO FFs for a charm quark to split into the S-wave D-meson and compare our analytic results both with experimental data and well-known phenomenological models.

Observing light or heavy charged Higgs bosons $$H^\pm $$ H ± , lighter or heavier than the top quark, would be instant evidence of physics beyond the Standard Model. For this reason, in recent years searches for charged Higgs bosons have been in the center of attention of current colliders such as the CERN Large Hadron Collider (LHC). In spite of all efforts, no signal has been yet observed. Especially, the results of CMS and ATLAS experiments have excluded a large region in the MSSM $$m_{H^+}-\tan \beta $$ m H + - tan β parameter space for $$m_{H^+}=80{-}160$$ m H + = 80 - 160  GeV corresponding to the entire range of $$\tan \beta $$ tan β up to 60. Therefore, it seems that one should concentrate on probing heavy charged Higgs bosons ($$m_{H^\pm }>m_t$$ m H ± > m t ) so in this context each new probing channel is welcomed. In this work, we intend to present our proposed channel to search for heavy charged Higgses through the study of scaled-energy distribution of bottom-flavored mesons (B) inclusively produced in charged Higgs decay, i.e., $$H^+\rightarrow t\bar{b}\rightarrow B+X$$ H + → t b ¯ → B + X . Our study is carried out within the framework of the generic two Higgs doublet model (2HDM) using the massless scheme where the zero mass parton approximation is adopted for bottom quark.

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