A new LCSR-assisted dispersion method predicts the D+ to pi+ l+ l- branching fraction and shows that the short-distance c to u l+ l- transition is practically invisible in the Standard Model.
The Mathematical Structure of $U$-Spin Amplitude Sum Rules
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abstract
We perform a systematic study of $SU(2)$ flavor amplitude sum rules with particular emphasis on $U$-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all $U$-spin amplitude sum rules to any order of the symmetry breaking. This novel approach to deriving the sum rules does not require one to explicitly compute the Clebsch-Gordan tables, and allows for simple diagrammatic interpretation. Several examples that demonstrate the application of our novel method to systems that can be probed experimentally are provided.
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$D\to P \ell^+\ell^-$ decays assisted by QCD light-cone sum rules
A new LCSR-assisted dispersion method predicts the D+ to pi+ l+ l- branching fraction and shows that the short-distance c to u l+ l- transition is practically invisible in the Standard Model.