Spectator Interactions in Soft-Collinear Effective Theory

نویسندگان

  • Richard J. Hill
  • Matthias Neubert
چکیده

Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting of the relevant fields and the construction of the effective Lagrangian are discussed at leading order in Λ/mb. Several novel effects occur in the matching of full-theory amplitudes onto effective-theory operators containing soft light quarks, such as the appearance of an intermediate mass scale and large non-localities of operators on scales of order 1/Λ. Important examples of effective-theory operators with soft light quarks are studied and their renormalization properties explored. The formalism presented here forms the basis for a systematic analysis of factorization and power corrections for any exclusive B-meson decay into light particles. Work supported in part by Department of Energy Contract DE-AC03-76SF00515.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonleptonic B decays into two light mesons in soft-collinear effective theory

We consider nonleptonic B decays into two light mesons at leading order in softcollinear effective theory, and show that the decay amplitudes are factorized to all orders in αs. The operators for nonleptonic B decays in the full theory are first matched to the operators in SCETI, which is the effective theory appropriate for √ mbΛ < μ < mb with Λ ∼ 0.5 GeV. We evolve the operators and the relev...

متن کامل

Spectator Interactions in B → V γ Decays and QCD Factorisation

We study the radiative decays B → V γ (where V = ρ, K *) in the framework of QCD fac-torisation, and in particular the hard-spectator contributions to the decay amplitudes. For the phenomenologically significant chromomagnetic operator, we show by an explicit next-to-leading-order computation that the spectator interactions factorise in the heavy-quark limit, i.e. that they can be written as th...

متن کامل

External Operators and Anomalous Dimensions in Soft-Collinear Effective Theory

It has recently been argued that soft-collinear effective theory for processes involving both soft and collinear partons contains a new soft-collinear mode, which can communicate between the soft and collinear sectors of the theory. The formalism incorporating the corresponding fields into the effective Lagrangian is extended to include external current and four-quark operators relevant to weak...

متن کامل

Rare radiative exclusive B decays in soft-collinear effective theory

ΛQCD/mb) and obtain the relevant operators to order λ in SCETI. These operators are constructed with or without spectator quarks including the four-quark operators contributing to annihilation and W -exchange channels. And we employ SCETII where the small parameter becomes of order ΛQCD/mb, and evolve the operators in order to compute the decay amplitudes for rare radiative decays in soft-colli...

متن کامل

An effective field theory for collinear and soft gluons: heavy to light decays

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, p⊥, and the scale p 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 co...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002