Measurement of the CKM Matrix Element |V{sub ub}| with B {yields} {rho}e{nu} Decays

Abstract

We present a measurement of the branching fraction for the rare decays B {yields} {rho}e{nu} and extract a value for the magnitude of V{sub ub}, one of the smallest elements of the Cabibbo-Kobayashi-Maskawa quark-mixing matrix. The results are given for five different calculations of form factors used to parametrize the hadronic current in semileptonic decays. Using a sample of 55 million B{bar B} meson pairs recorded with the BABAR detector at the PEP-II e{sup +}e{sup -} storage ring, we obtain {Beta}(B{sup 0} {yields} {rho}{sup -1} e{sup +} {nu}) = (3.29 {+-} 0.42 {+-} 0.47 {+-} 0.60) x 10{sup -4} and |V{sub ub}| = (3.64 {+-} 0.22 {+-} 0.25{sub -0.56}{sup +0.39}) x 10{sup -3}, where the uncertainties are statistical, systematic, and theoretical, respectively.

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