### 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 ζP can be related to the leading-order B meson shape function. Using the scaling behavior of the heavy-to-light form factor in Λ_{QCD}/m_{b}, 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 ζ_{P} with the model for the shape function and find that it ranges from 0.01 to 0.07.

Original language | English |
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Pages (from-to) | 57-65 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 628 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2005 Nov 3 |

### Keywords

- Heavy-to-light form factor
- Soft-collinear effective theory
- Sum rule

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Chay, J., Kim, C., & Leibovich, A. K. (2005). SCET sum rules for heavy-to-light form factors.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*628*(1-2), 57-65. https://doi.org/10.1016/j.physletb.2005.09.025