PHYSICS LETTERS B, vol.332, pp.381-386, 1994 (SCI-Expanded)
The Stokes parameters xi1 and xi2 for one of the produced photons, which characterize the T-odd (and P-odd) linear polarization and P-odd circular polarization in the B(s(d)) --> gammagamma decay are calculated. We show that these parameters are very sensitive to the t-quark mass for the B(s) --> gammagamma decay and also to the sign and the absolute value of the ratio V(ub)/V(td) of the elements of Kobayashi-Maskawa matrix for the B(d) --> 2gamma decay, in the framework of the Standard Model. It is further shown that in the two Higgs doublet model, there is some region of parameters (namely the mass of the charged physical Higgs and vacuum expectation values) where the predictions for the polarization effects of the photons differ from the Standard Model prediction considerably.