Measurement of the radial matrix elements of the $6s{}^2{S}_{1\mathrm{/}2}\to 7p{}^2{P}_J$ transitions in atomic cesium

We report measurements of the absorption strength of the cesium $6s : ^2S_{1/2} \rightarrow 7p : ^2P_{3/2} $andthe$6s : ^2S_{1/2} \rightarrow 7p : ^2P_{1/2} $transitionsat$\lambda = 456$ nm and 459 nm, respectively, in an atomic vapor cell. By simultaneously measuring the absorption strength on the Cs D${}_1$ line ($6s{}^2{S}_{1\mathrm{/}2}\to 6p{}^2{P}_{1\mathrm{/}2}$), for which the electric dipole transition moment is precisely known, we are able to determine the reduced dipole matrix elements for these two lines. We report $⟨7P_{3\mathrm{/}2}\mathrm{\mid }\mathrm{\mid }r\mathrm{\mid }\mathrm{\mid }6S_{1\mathrm{/}2}⟩=0.5780(7)a_0$ and $\langle 7P_{1/2} || r || 6S_{1/2} \rangle = 0.2789 : (16) : a_0$, with fractional uncertainties of 0.12% and 0.6%, respectively. Through these measurements, we can reduce the discrepancy between values of the tensor polarizability for the Cs $6s{}^2{S}_{1\mathrm{/}2}\to 7s{}^2{S}_{1\mathrm{/}2}$ transition that have been determined through two different methods.