With U-spin symmetry, b → s and b → d penguin decays could be a subtle probe of CP violating new physics contributions. We show that, for B → PP (P stands for a pseudoscalar meson), the U-spin relation is expected to be violated for only one decay pair by assuming that new physics affects only b → s transition processes. We also very shortly discuss the polarizations of two types of U-spin pair...

For stochastic processes {Xt : t ∈ E}, we establish sufficient conditions for the empirical process based on {IXt≤y − P (Xt ≤ y) : t ∈ E, y ∈ R} to satisfy the CLT uniformly in t ∈ E, y ∈ R. Corollaries of our main result include examples of classical processes where the CLT holds, and we also show that it fails for Brownian motion tied down at zero and E = [0, 1]. ∗Research supported in part b...