In the B -> D* tau neutrino decay, the longitudinal polarization fraction F_L barely changes with the V-A breaking parameter alpha, while the difference between the two transverse polarization components is highly sensitive to alpha.
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Helicity amplitudes in the $\bar{B} \to D^{*} \bar{\nu}_\tau \tau$ decay with $V-A$ breaking in the quark sector
In the B -> D* tau neutrino decay, the longitudinal polarization fraction F_L barely changes with the V-A breaking parameter alpha, while the difference between the two transverse polarization components is highly sensitive to alpha.