Chiral and Heavy Quark Symmetry Violation in B Decays

The most general Lagrangian consistent with chiral, heavy quark, and strong interaction symmetries to order 1 M and to linear order in the SU(3) vector and axial currents is presented. Two new dimensionful and five dimensionless couplings arise at this order. The heavy to light flavor changing current is derived to the same order, giving rise to two additional dimensionful constants and six dimensionless ones. The dimensionless parameters are shown to be irrelevant at O( 1 M ). Analytic SU(3) counterterms are also considered. Form factors for D → πlν and B → πlν are computed at O( 1 M , ms) and O(M0, ms). The eight decay constants fD, fDs , fD∗ , fD∗ s , fB, fBs , fB∗ and fB∗ s are computed at O( 1 M , ms) in terms of seven parameters which can be determined by {B,D} → {K, π}lν decays, and two undetermined counterterms. The ratio R1 = fBs fB / fDs fD is expressed in terms of four parameters.