  We report measurements of the ratio of the scalar polarizability $\alpha$ to
the vector polarizability $\beta$ for the $6s ^2S_{1/2} \rightarrow 7s
^2S_{1/2}$ transition in atomic cesium. These measurements are motivated by a
discrepancy between the values of the vector transition polarizability as
determined using two separate methods. In the present measurement, we use a
two-pathway, coherent-control technique in which we observe the interference
between a two-photon interaction driven by infrared light at 1079 nm and a
linear Stark-induced interaction driven by the mutually-coherent second
harmonic of this infrared beam at 540 nm. The result of our measurements is
$\alpha/\beta = -9.902 \: (9)$, in good agreement with the previous
determination of this ratio. This measurement, critical to the study of atomic
parity violation in cesium, does not reduce the discrepancy between the two
methods for the determination of the vector polarizability $\beta$ for this
transition.
