To measure the helicity of a spin-1 meson from the triple vector product of the threemomenta of its decay products, one needs information about the strong phase of the decay amplitude. In this paper, taking a 1 (1260) meson as an example, we present a method to extract information about the strong phase from the triple vector product of the pion momenta in W → ντ (→ νa 1 (→ π ∓ π ∓ π ± )) process, where the a 1 helicity is known a priori from electroweak theory. This process is advantageous in that highly-boosted a − 1 mesons from τ − L decays have nearly maximal helicity asymmetry and thus most reflect the strong phase. We revisit the theoretical calculation of the a 1 meson helicity in W → ντ (→ νa 1 ) process. We formulate the differential decay rate of polarized a 1 mesons in a manner convenient for the study of the a 1 meson helicity asymmetry. Finally, we present the method for extracting information about the strong phase, and assess its feasibility at the LHC.The helicity of spin-1 mesons can be a probe for physics beyond the Standard Model (SM). For example, in B − → K − π − π + γ process induced by b → sγ, the SM predicts that the K − π − π + system is mostly left-handed because W boson loop gives an amplitude with a left-handed photon, while various extensions of the SM contain an extra amplitude with a right-handed photon. The helicity of the K − π − π + system can be determined from the triple vector product of the three-momenta of K − , π − , π + , and indeed a non-zero polarization of the system has been confirmed experimentally [1]. Nevertheless, the helicity has not been measured. The difficulty lies in the fact that the triple vector product of three-momenta is a naïve T-odd quantity [2] (odd under the reversal of all three-momenta and spins), and in CP-conserving theories like