A Uniform Search for Nearby Planetary Companions to Hot Jupiters in TESS Data Reveals Hot Jupiters Are Still Lonely

We present the results of a uniform search for additional planets around all stars with confirmed hot Jupiters observed by Transiting Exoplanet Survey Satellite (TESS) in its Cycle 1 survey southern ecliptic hemisphere. Our comprises 184 total planetary systems $R_{p}$ > 8$R_\oplus$ and orbital period < 10 days. The Transit Least Squares (TLS) algorithm was utilized to periodic signals that may have been missed other planet pipelines. While we recovered 169 these Jupiters, our yielded no new statistically-validated candidates parameter space searched (P 14 days). A lack nearby TESS data supports from previous transit searches each individual system, now down photometric precision TESS. This is consistent expectations high eccentricity migration formation scenario, but indicators are needed definitive confirmation. injected into light curves Jupiter sample probe pipeline's sensitivity target space, finding dependence proportional $R_{p}^{2.32}P^{-0.88}$ within 0.3$\leq$$R_{p}$$\leq$4 $R_\oplus$ 1$\leq$$P$$\leq$14 statistical analysis accounting this provides median $90\%$ confidence interval $7.3\substack{+15.2 \\ -7.3}\%$ rate companions space. study demonstrates how uniquely enables comprehensive nearly known Jupiters.