In this talk I will outline some of the challenges facing higher-precision extractions of CKM matrix elements and effective neutral-current couplings from inclusive B decays and rare semileptonic kaon decays, which persist despite increasingly precise perturbative information for these quantities. In the B sector, phenomenological extractions of local power correction parameters are the largest bottleneck for testing the SM with the rare mode B->X ll, and I outline an approach to scrutinize their extraction from kinematical moments of charged-current B decays. I will also discuss a dispersive approach to the nonlocal contribution to rare kaon decays K->pi ll and K->pi nu nu, and similar strategies based on chiral dynamics applied to the B -> pi form factors at high recoil.
Jack Jenkins (Siegen): Semileptonic decays at the frontier
