Searching for possible evidences of new physics in B → V1V2

Abstract

We explore the decays of B→V1V2 (V1,2=(ρ,ω,K⁎,ϕ) and B=(B0,B+,Bs)) 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 Δϕp=Δϕ∥−Δϕ⊥=0 with Δϕ⊥,∥ the weak phases of the transverse amplitudes. In contrast, the experiments show that Δϕp(B0→K⁎0ω)=−0.84±0.54, which could 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 B0→K⁎0ω. In addition, by counting the helicity flips, we argue that sin⁡(ϕ∥−ϕ⊥)≈0, which meets well with most of the experiments except for the ones with B0→K⁎0ω, where ϕ∥,⊥ are the strong phases in the transverse amplitudes.