Chiral and heavy quark symmetry violation in B decays Original Research Article

The most general lagrangian consistent with chiral, heavy quark, and strong interaction symmetries to order 1M 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(1M). Analytic SU(3) counterterms are also considered. Form factors for D → πℓν and B → πℓν are computed at O(1M, ms0) and O(M0, ms1). The eight decay constants fD fDs fD∗ fDs∗, fB fBs fB∗ and fBs∗, are computed at O(1M, ms) in terms of seven parameters which can be determined by {B, D} → {K π}ℓv decays, and two undetermined counterterms. The ratio R1 = (fBs/fB)/(fDs/fD) is expressed in terms of four parameters.