Transverse spin effects in H/A -> tau^+ tau^- ; tau⁺⁻ -> nu X⁺⁻, Monte Carlo approach

The transverse spin effects may be helpful to distinguish between scalar (J^{PC}=0^{++}) or pseudoscalar (J^{PC}=0^{-+}) nature of the spin zero (Higgs) particle once discovered in future accelerator experiments. The correlations can manifest themselves e.g. in distribution of acollinearity angle of X^{+-} in decay chain H/A -> tau^+ tau^- ; tau^{+-} -> nu X^{+-}. This delicate measurement will require however reconstruction of the Higgs boson rest-frame. Then, questions of the combined detector-theoretical effects may be critical to establish reliability of the method. Appropriate Monte Carlo program is essential. In the present paper we extend the standard universal interface, of the TAUOLA tau-lepton decay library, to include the complete spin effects for tau leptons originating from the spin zero particle. As usual, the interface is expected to work with any Monte Carlo generator providing Higgs boson production, and subsequent decay into pair of tau leptons. Some example of numerical results and cross checks of the program, will be also given.