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Precision model independent determination of |Vub| from B --> pilnu
Christian M Arnesen1, Benjamin Grinstein, Ira Z Rothstein
1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, 02139, USA.
Abstract:
A precision method for determining |V(ub)| using the full range in q(2) of B --> pilnu data is presented. At large q(2) the form factor is taken from unquenched lattice QCD, at q(2) = 0 we impose a model independent constraint obtained from B --> pipi using the soft-collinear effective theory, and the shape is constrained using QCD dispersion relations. We find |V(ub)| = (3.54 +/- 0.170 +/- 0.44) x 10(-3). With 5% experimental error and 12% theory error, this is competitive with inclusive methods. Theory error is dominated by the input points, with negligible uncertainty from the dispersion relations.
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