First measurement of the form factors in the decays D0 → ρ- e+ ν(e) and D+ → ρ0 e+ ν(e).

Dobbs S,Metreveli Z,Seth K K,Tomaradze A,Xiao T,Martin L, Powell A, Wilkinson G,Mendez H, Asner D M,Tatishvili G, Ge J Y,Huang G S,Miller D H, Pavlunin V,Shipsey I P J,Xin B, Adams G S,Hu D, Moziak B,Napolitano J,Ecklund K M, Insler J,Muramatsu H,Park C S,Pearson L J, Thorndike E H,Ricciardi S,Thomas C,Artuso M,Blusk S,Mountain R,Skwarnicki T,Stone S,Zhang L M, Bonvicini G,Cinabro D,Lincoln A,Smith M J,Zhou P,Zhu J,Naik P,Rademacker J, Edwards K W, Randrianarivony K,Briere R A,Vogel H, Onyisi P U E,Rosner J L, Alexander J P, Cassel D G,Das S,Ehrlich R, Gibbons L,Gray S W, Hartill D L, Heltsley B K, Kreinick D L,Kuznetsov V E,Patterson J R, Peterson D,Riley D, Ryd A, Sadoff A J,Shi X,Sun W M, Yelton J,Rubin P,Lowrey N,Mehrabyan S,Selen M,Wiss J,Libby J, Kornicer M, Mitchell R E, Tarbert C M, Besson D,Pedlar T K,Cronin-Hennessy D, Hietala J, Null Null

Physical review letters(2013)

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摘要
The beauty to up quark coupling constant |V(ub)| can be extracted from B → ρ e+ ν(e) combined with the form factors for D → K* e+ ν(e) and B → V ℓ+ ℓ- and D → ρ e+ ν(e). Using the entire CLEO-c ψ(3770) → DD event sample, corresponding to an integrated luminosity of 818  pb(-1) and approximately 5.4×10(6) DD events, we measure the form factors for the decays D0 → ρ- e+ ν(e) and D+ → ρ0 e+ ν(e) for the first time and the branching fractions with improved precision. A four-dimensional unbinned maximum likelihood fit determines the form factor ratios to be V(0)/A1(0)=1.48±0.15±0.05 and A2(0)/A1(0)=0.83±0.11±0.04. Assuming Cabibbo-Kobayashi-Maskawa unitarity, the known D meson lifetimes, and our measured branching fractions we obtain the form factor normalizations A1(0), A2(0), and V(0). We also present a measurement of the branching fraction for D+ → ω e+ ν(e) with improved precision.
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