Constraint from \left | V_{ub} / V_{cb} \right |

B hadrons can decay through the b \rightarrow c and b \rightarrow u transitions. The relative ratio of charmless over charmed b-hadron semileptonic decays, is proportional to the square of the ratio :

\left | \frac{V_{ub}}{V_{cb}} \right | = \frac{\lambda}{1-\frac{\lambda^2}{2}} \sqrt{\bar{\rho}^2+\bar{\eta}^2}

This constraint is represented by a circle centered in (0,~0) in the (\bar{\rho},~\bar{\eta}) plane. The present experimental information comes from inclusive and exclusive measurements (See the Table of inputs).


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