Implications of unitarity and precision measurements on CKM matrix elements

Unitarity along with precision measurements of sin2β, Vus and Vcb allows one to find a lower bound Vub⩾0.0035 which, on using the recently measured angle α of the unitarity triangle, translates to Vub=0.0035±0.0002. This precise value, stable for a good deal of changes in α, along with CP violating phase δ found from unitarity allows the construction of a 'precise' CKM matrix. The above unitarity based value of Vub is in agreement with the latest exclusive value used as input by UTfit, CKMfitter, HFAG, however underlines the so-called 'tension' faced by the latest inclusive Vub=0.00449±0.00033. Further, using this inclusive value of Vub along with the latest sin2β, one finds δ=23°-39°, again in conflict with δ measured in B-decays. The calculated ranges of the elements of the CKM matrix are in excellent agreement with those obtained recently by UTfit, CKMfitter and HFAG. Also, the ratio VtsVtd is in agreement with its latest measured value, whereas there is some disagreement between the 'measured' and the calculated Vtd values.