Non-factorizable contributions to Bd0¯→Ds(*)D

Abstract

It is pointed out that decays of the type B → DD have no factorizable contributions, unless at least one of the charmed mesons in the final state is a vector meson. The dominant contributions to the decay amplitudes arise from chiral loop contributions and tree level amplitudes generated by soft gluon emissions forming a gluon condensate. We predict that the branching ratios for the processesB 0 → s are all of order (3 − 4) × 10 −4 , whileB 0 → D + * s D − * s has a branching ratio 5 to 10 times bigger. We emphasize that the branching ratios are sensitive to 1/mc corrections.

Standard model predictions and new physics sensitivity inB→DDdecays

“…[34] (albeit the real part of the ratio has the opposite sign), but smaller than the result in Ref. [50]. On the other hand the measured values for the branching ratios of the annihilation-dominated modes seem consistently larger than the estimates in Ref.…”

Rare $b\to c$ Decays at Belle

“…Using B(B 0 → D − s π + ) from [2] we obtain This value represents the first existing limit on this decay mode and reaches the sensitivity to test the prediction of [3].…”

Non-factorizable contributions to B[sub d][sup 0] → D[sub s][sup (∗)]D[sub s][sup (∗)] from chiral loops and tree level 1/Nc terms

“…These counterterms are not considered here (or in [3,4]) and has to be be considered together with the constant (non-logarithmic) chiral loop terms which we also have dropped in this analysis. The inclusion of counterterms and constant chiral loops terms will be discussed elsewhere.…”

“…In our approach [3,4], the non-factorizable contributions are coming from chiral loops and from tree level amplitudes generated by soft gluon emision forming a gluon condensate. The gluon condensate contributions can be calculated within a recently developed Heavy Light Chiral Quark Model (HLχQM) [5].…”