### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*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

**SCET sum rules for heavy-to-light form factors.** / Chay, Junegone; Kim, Chul; Leibovich, Adam K.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 628, no. 1-2, pp. 57-65. https://doi.org/10.1016/j.physletb.2005.09.025

}

TY - JOUR

T1 - SCET sum rules for heavy-to-light form factors

AU - Chay, Junegone

AU - Kim, Chul

AU - Leibovich, Adam K.

PY - 2005/11/3

Y1 - 2005/11/3

N2 - 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 ΛQCD/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 ζP with the model for the shape function and find that it ranges from 0.01 to 0.07.

AB - 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 ΛQCD/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 ζP with the model for the shape function and find that it ranges from 0.01 to 0.07.

KW - Heavy-to-light form factor

KW - Soft-collinear effective theory

KW - Sum rule

UR - http://www.scopus.com/inward/record.url?scp=26244444688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26244444688&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2005.09.025

DO - 10.1016/j.physletb.2005.09.025

M3 - Article

AN - SCOPUS:26244444688

VL - 628

SP - 57

EP - 65

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

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

SN - 0370-2693

IS - 1-2

ER -