Abstract
An angular analysis of the decay $B^0 \to \phi K^*(892)^0$ is reported based on a $pp$ collision data sample, corresponding to an integrated luminosity of 1.0 fb$^{-1}$, collected at a centre-of-mass energy of $\sqrt{s} = 7$ TeV with the LHCb detector. The P-wave amplitudes and phases are measured with a greater precision than by previous experiments, and confirm about equal amounts of longitudinal and transverse polarization. The S-wave $K^+ \pi^-$ and $K^+K^-$ contributions are taken into account and found to be significant. A comparison of the $B^0 \to \phi K^*(892)^0$ and $\bar{B}^0 \to \phi \bar{K}^*(892)^0$ results shows no evidence for direct CP violation in the rate asymmetry, in the triple-product asymmetries or in the polarization amplitudes and phases.
Highlights
B0 td sφ s s K ∗0 d results are seen in other B → V V penguin transitions [12,13,14,15]
In this analysis the B0 → φK∗0 decay is studied, where the φ and K∗0 mesons decay to K+K− and K+π−, respectively. For this pseudoscalar to vectorvector transition, allows three possible helicity configurations of the vector-meson pair, with amplitudes denoted H+1, H−1 and H0. These can be written as a longitudinal polarization, A0, and two transverse polarizations, A⊥ and A, A0 = H0, A⊥
Since the decay products identify the flavour at decay, the data can be separated into B0 and B0 decays and the triple-product asymmetries calculated for both cases
Summary
In this analysis the B0 → φK∗0 decay is studied, where the φ and K∗0 mesons decay to K+K− and K+π−, respectively (the study of the charge conjugate B0 mode is implicitly assumed in this paper). For this pseudoscalar to vectorvector transition, allows three possible helicity configurations of the vector-meson pair, with amplitudes denoted H+1, H−1 and H0. These can be written as a longitudinal polarization, A0, and two transverse polarizations, A⊥ and A , A0 = H0 , A⊥. In addition to the dominant vector-vector (P-wave) amplitudes, there are contributions where either the K+K− or K+π− pairs are produced in a spin-0 (S-wave) state. These amplitudes are denoted AKS K and AKS π, respectively. The triple-product asymmetries that can be derived from the angular variables are defined
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