An effective field theory for collinear and soft gluons: Heavy to light decays - art. no. 114020

Citation
Cw. Bauer et al., An effective field theory for collinear and soft gluons: Heavy to light decays - art. no. 114020, PHYS REV D, 6311(11), 2001, pp. 4020
Citations number
46
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6311
Issue
11
Year of publication
2001
Database
ISI
SICI code
0556-2821(20010601)6311:11<4020:AEFTFC>2.0.ZU;2-M
Abstract
We construct the Lagrangian for an effective theory of highly energetic qua rks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particl es, p(perpendicular to), and the scale p(perpendicular to)(2)/Q. 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 B-->X(s)gamma and B-->X(u)l<(<nu>)over bar> 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 nl. [Phys. Rev. D 60, 014001 (1999)]. establishing these relations in the large energy limit of QCD.