“…In the case of quarks, the parameter sin 2β and the Cabibbo-Kobayashi-Maskawa (CKM) [3] matrix elements V us , V cb , V ud are known precisely [4], however, V ub is not that precisely known. In this context, our recent study [5] indicates that sin 2β plays a crucial role in fixing V ub . Similar to the case of quarks, in the case of neutrinos angles s 12 , s 23 as well as the mass square differences ∆m 2 12 , ∆m 2 23 are now rather well known [4,6], whereas only an upper limit is known regarding the third mixing angle s 13 .…”