TY - JOUR
T1 - Collinear effective theory at subleading order and its application to heavy-light currents
AU - Chay, Junegone
AU - Kim, Chul
PY - 2002
Y1 - 2002
N2 - We consider a collinear effective theory of highly energetic quarks with energy E, interacting with collinear and soft gluons by integrating out collinear degrees of freedom to subleading order. The collinear effective theory offers a systematic expansion in power series of a small parameter λ ∼ p⊥/E, where p⊥ is the transverse momentum of a collinear particle. We construct the effective Lagrangian to first order in λ and discuss its features, including additional symmetries such as collinear gauge invariance and reparametrization invariance. Heavy-light currents can be matched from the full theory onto the operators in the collinear effective theory at one loop and to order λ. We obtain heavy-light current operators in the effective theory, calculate their Wilson coefficients at this order, and the renormalization group equations for the Wilson coefficients are solved. As an application, we calculate the form factors for decays of B mesons to light energetic mesons to order λ and at leading-logarithmic order in αs.
AB - We consider a collinear effective theory of highly energetic quarks with energy E, interacting with collinear and soft gluons by integrating out collinear degrees of freedom to subleading order. The collinear effective theory offers a systematic expansion in power series of a small parameter λ ∼ p⊥/E, where p⊥ is the transverse momentum of a collinear particle. We construct the effective Lagrangian to first order in λ and discuss its features, including additional symmetries such as collinear gauge invariance and reparametrization invariance. Heavy-light currents can be matched from the full theory onto the operators in the collinear effective theory at one loop and to order λ. We obtain heavy-light current operators in the effective theory, calculate their Wilson coefficients at this order, and the renormalization group equations for the Wilson coefficients are solved. As an application, we calculate the form factors for decays of B mesons to light energetic mesons to order λ and at leading-logarithmic order in αs.
UR - http://www.scopus.com/inward/record.url?scp=85038294819&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.65.114016
DO - 10.1103/PhysRevD.65.114016
M3 - Article
AN - SCOPUS:85038294819
VL - 65
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 11
M1 - 114016
ER -