Dimension of Moduli Space of Parabolic $ G $ – Higgs Sets

I'm looking at Usha Bhosle's article on parabolic G beam modules. She calculated the dimension of the space of the modules.

Now, I want to know the size of the parabolic G-Higgs modules beams on a genus g curve.
I think it should be weak$ M $ = weak$ Z (G) $ + (g-1) dim$ G $ + $ 2 $low$ G / P $.