Possible Indications of New Physics in Bd-mixing and in sin(2 beta) Determinations
Abstract
Using the hadronic matrix elements from the lattice, BK and xis, involving only the 4-quark operators for Delta flavor (F) = 2 Hamiltonian relevant for K, Bd and Bs mixing, along with Vcb, we deduce a non-trivial constraint on the SM, sin (2 beta) = 0.87+-0.09. This deviates from direct experimental measurements via the tree process, b -> c c s as well as the one via the penguin-loop b -> s decays by around 2.1 and 2.7 sigma respectively. If these deviations are confirmed they would imply the presence of new physics rather pervasively in both Bd mixing (i.e. very likely in b -> d) as well as in b -> s transitions requiring a beyond the SM CP-odd phase. Consequently, improvements in the relevant lattice calculations should be given a high priority.