TY - JOUR

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

AU - Bauer, Christian W.

AU - Fleming, Sean

AU - Luke, Michael

PY - 2001

Y1 - 2001

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.

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U2 - 10.1103/PhysRevD.63.014006

DO - 10.1103/PhysRevD.63.014006

M3 - Article

AN - SCOPUS:85037879580

SN - 1550-7998

VL - 63

SP - 13

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 1

ER -