Searching for possible evidences of new physics in $Bto V_1 V_2$

We explore the decays of $Bto V_1V_2$ ($V_{1,2}= (rho, omega,K^*, phi)$ and $B= (B^0, B^+,B_s)$) with transverse polarizations. We explicitly evaluate the eigenstates of T-odd scalar operators involving spins for the first time, which offer physical insight among the T violating observables. Based on the helicity suppression of tree operators for transverse polarizations in the standard model (SM), we deduce that $Delta phi_p = phi_parallel - phi_perp=0$ with $phi_{perp,parallel}$ the complex phases of the transverse amplitudes. In contrast, the experiments show that $Delta phi _p (B^0 to K^{*0} omega)= -0.84pm 0.54$, which would be a signal of new physics. There is also a discrepancy between our result in the SM and the experimental data for the transverse polarized branching ratio in $B^0 to K^{*0} omega$. In addition, by counting the helicity flips, we obtain that $sin(phi_p ) approx 0$ in $Bto V_1T_2$ with $T_2$ an arbitrary spin-$n$ meson ($nge1$).