SCET sum rules for heavy-to-light form factors
Abstract
We consider a sum rule for heavy-to-light form factors in soft-collinear effective theory (SCET). Using the correlation function given by the time-ordered product of a heavy-to-light current and its hermitian conjugate, the heavy-to-light soft form factor zetaP can be related to the leading-order B meson shape function. Using the scaling behavior of the heavy-to-light form factor in LambdaQCD/mb, we put a constraint on the behavior of the B meson shape function near the endpoint. We employ the sum rule to estimate the size of zetaP with the model for the shape function and find that it ranges from 0.01 to 0.07.
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