### Abstract

We construct an effective field theory valid for processes in which highly energetic light-like particles interact with collinear and soft degrees of freedom, using the decay (Formula presented) near the end point of the photon spectrum, (Formula presented) as an example. Below the scale (Formula presented) both soft and collinear degrees of freedom are included in the effective theory, while below the scale (Formula presented) where (Formula presented) is the light cone momentum fraction of the b quark in the B meson, we match onto a theory of bilocal operators. We show that at one loop large logarithms cancel in the matching conditions, and that we recover the well-known renormalization group equations that sum leading Sudakov logarithms.

Original language | English (US) |
---|---|

Number of pages | 1 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 63 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2001 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**Summing Sudakov logarithms in [Formula Presented] in effective field theory.** / Bauer, Christian W.; Fleming, Sean P; Luke, Michael.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Summing Sudakov logarithms in [Formula Presented] in effective field theory

AU - Bauer, Christian W.

AU - Fleming, Sean P

AU - Luke, Michael

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We construct an effective field theory valid for processes in which highly energetic light-like particles interact with collinear and soft degrees of freedom, using the decay (Formula presented) near the end point of the photon spectrum, (Formula presented) as an example. Below the scale (Formula presented) both soft and collinear degrees of freedom are included in the effective theory, while below the scale (Formula presented) where (Formula presented) is the light cone momentum fraction of the b quark in the B meson, we match onto a theory of bilocal operators. We show that at one loop large logarithms cancel in the matching conditions, and that we recover the well-known renormalization group equations that sum leading Sudakov logarithms.

AB - We construct an effective field theory valid for processes in which highly energetic light-like particles interact with collinear and soft degrees of freedom, using the decay (Formula presented) near the end point of the photon spectrum, (Formula presented) as an example. Below the scale (Formula presented) both soft and collinear degrees of freedom are included in the effective theory, while below the scale (Formula presented) where (Formula presented) is the light cone momentum fraction of the b quark in the B meson, we match onto a theory of bilocal operators. We show that at one loop large logarithms cancel in the matching conditions, and that we recover the well-known renormalization group equations that sum leading Sudakov logarithms.

UR - http://www.scopus.com/inward/record.url?scp=85037879580&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037879580&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.63.014006

DO - 10.1103/PhysRevD.63.014006

M3 - Article

AN - SCOPUS:85037879580

VL - 63

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 1

ER -