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

Christian W. Bauer, Sean P Fleming, Michael Luke

Research output: Contribution to journalArticle

24 Citations (Scopus)

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 languageEnglish (US)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume63
Issue number1
DOIs
StatePublished - Jan 1 2001
Externally publishedYes

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logarithms
degrees of freedom
cones
mesons
quarks
momentum
operators
photons
decay

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.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 63, No. 1, 01.01.2001.

Research output: Contribution to journalArticle

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