Testing explanations of the B ->phi K-* polarization puzzle

作者：Datta Alakabha^*; Gritsan Andrei V; London David; Nagashima Makiko; Szynkman Alejandro

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2007, 76(3): 034015.

DOI：10.1103/PhysReVe.76.034015

B ->phi K-* ((b) over bar ->(s) over bar) is three separate decays, one for each polarization of the final-state vector mesons (one longitudinal, two transverse). It is observed that the fraction of transverse decays, f(T), and the fraction of longitudinal decays, f(L), are roughly equal: f(T)/f(L)similar or equal to 1, in opposition to the naive expectation that f(T)<< f(L). If one requires a single explanation of all polarization puzzles, two possibilities remain within the standard model: penguin annihilation and rescattering. In this paper we examine the predictions of these two explanations for f(T)/f(L) in (b) over bar ->(d) over bar decays. In B ->rho rho decays, only B-d(0)->rho(0)rho(0) can possibly exhibit a large f(T)/f(L). In B decays related by U-spin, we find two promising possibilities: (i) B+-> K-*0 rho(+) ((b) over bar ->(s) over bar) and B+->(K) over bar K-*0(*+) ((b) over bar ->(d) over bar) and (ii) B-s -> K-*0(K) over bar (*0) ((b) over bar ->(s) over bar) and B-d(0)->(K) over bar K-*0(*0) ((b) over bar ->(d) over bar). The measurement of f(T)/f(L) in these pairs of decays will allow us to test penguin annihilation and rescattering. Finally, it is possible to distinguish penguin annihilation from rescattering by performing a time-dependent angular analysis of B-d(0)->(K) over bar K-*0(*0).

• 出版日期2007-8