Semileptonic b to u transition

Abstract

Experimental studies of charmless semileptonic B decays can be broadly categorized into inclusive and exclusive measurements depending on how the final states are treated. The inclusive method measures the decay rate $\Gamma(B \to X_u \ell \nu)$, where $X_u$ is known as the hadronic system that does not contain charm-quark. On the other hand, the exclusive method measures the decay rates for exclusive final states such as $B \to \pi \ell \nu$ and $\rho \ell \nu$. Two methods give not only different efficiencies and signal-to-background ratios, but also different theoretical calculations to be used in order to extract $|V_{ub}|$. Using both approaches and comparing the results will help us verify the robustness of the theoretical error estimation, which dominates the current uncertainty in the determination of $|V_{ub}|$. Progress in last few years will be summarized in this presentation.