TY - JOUR
T1 - An effective field theory for collinear and soft gluons: Heavy to light decays
AU - Bauer, Christian W.
AU - Fleming, Sean
AU - Pirjol, Dan
AU - Stewart, Iain W.
PY - 2001
Y1 - 2001
N2 - We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, (Formula presented) and the scale (Formula presented) The heavy to light currents are matched onto operators in the effective theory at one loop and the renormalization group equations for the corresponding Wilson coefficients are solved. This running is used to sum Sudakov logarithms in inclusive (Formula presented) and (Formula presented) decays. We also show that the interactions with collinear gluons preserve the relations for the soft part of the form factors for heavy-to-light decays found by Charles et al. [Phys. Rev. D 60, 014001 (1999)], establishing these relations in the large energy limit of QCD.
AB - We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, (Formula presented) and the scale (Formula presented) The heavy to light currents are matched onto operators in the effective theory at one loop and the renormalization group equations for the corresponding Wilson coefficients are solved. This running is used to sum Sudakov logarithms in inclusive (Formula presented) and (Formula presented) decays. We also show that the interactions with collinear gluons preserve the relations for the soft part of the form factors for heavy-to-light decays found by Charles et al. [Phys. Rev. D 60, 014001 (1999)], establishing these relations in the large energy limit of QCD.
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U2 - 10.1103/PhysRevD.63.114020
DO - 10.1103/PhysRevD.63.114020
M3 - Article
AN - SCOPUS:85037896296
SN - 1550-7998
VL - 63
SP - 17
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 11
ER -