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

Preprint

24 July 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0301055

Abstract

We show that the amplitudes for B decays into two light mesons at leading order in soft-collinear effective theory are factorized to all orders in alpha_s. We construct gauge-invariant four-quark operators by employing the effective theories SCET_I for sqrt{m_b \Lambda} <\mu<m_b, and SCET_II for \mu <sqrt{m_b \Lambda} with Lambda ~0.5 GeV. These operators do not allow gluon exchanges between different sectors of the current and the matrix elements are reduced to the products of current matrix elements. The spectator interactions are also factorized at leading order in SCET and to all orders in alpha_s.

Keywords

COLLINEAR EFFECTIVE THEORY
SOFT COLLINEAR EFFECTIVE
EFFECTIVE THEORY
DECAYS INTO TWO
LIGHT MESONS
TWO LIGHT
MESONS

All Related Versions

Version 1, 2003-01-09, ArXiv
Version 2, 2003-07-24, ArXiv
Version 1, 2003-01-30, ArXiv (Unconfirmed version)
Version 2, 2003-07-09, ArXiv (Unconfirmed version)
Published version: Physical Review D, 68 (7), 071502.

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