Abstract
Abstract Unitarity along with precision measurements of sin 2 β , V u s and V c b allows one to find a lower bound V u b ⩾ 0.0035 which, on using the recently measured angle α of the unitarity triangle, translates to V u b = 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 V u b 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 V u b = 0.00449 ± 0.00033 . Further, using this inclusive value of V u b along with the latest sin 2 β , 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 V t s V t d is in agreement with its latest measured value, whereas there is some disagreement between the ‘measured’ and the calculated V t d values.
Highlights
Vts Vtd is in agreement with its latest measured value, whereas there is some disagreement between the ‘measured’ and the calculated Vtd values
The precise measurement of CP violating parameter sin 2β [2]-[5] and a fairly precise measurement of angle α [6] of the unitarity triangle in B-decays have allowed a precise determination of the phase of the CKM matrix
Unlike the several global analyses [3]-[5],[7] carried out recently, it would perhaps be desirable to fine tune the implications of each of the vital inputs of CKM paradigm separately along with the precision measurements on the CKM matrix elements and other phenomenological parameters
Summary
Vts Vtd is in agreement with its latest measured value, whereas there is some disagreement between the ‘measured’ and the calculated Vtd values.
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