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Modern transient surveys have begun discovering and following supernovae(SNe) shortly after first light---providing systematic measurements of the riseof Type II SNe. We explore how analytic models of early shock-cooling emissionfrom core-collapse SNe can constrain the progenitor's radius, explosionvelocity, and local host extinction. We simulate synthetic photometry inseveral realistic observing scenarios and, assuming the models describe thetypical explosions well, find that ultraviolet observations can constrain theprogenitor's radius to a statistical uncertainty of $\pm10-15\%$, with asystematic uncertainty of $\pm 20\%$. With these observations the local hostextinction ($A_V$) can be constrained to a factor of two and the shock velocityto $\pm 5\%$ with a systematic uncertainty of $\pm 10\%$. We also re-analyzethe SN light curves presented in Garnavich et al. (2016) and find that KSN2011a can be fit by a blue supergiant model with a progenitor radius of $R_s <7.7 + 8.8 {\rm (stat)} + 1.9 {\rm (sys)}R_\odot$, while KSN 2011d can be fitwith a red supergiant model with a progenitor radius of $R_s = 111_{-21 {\rm(stat)}}^{+89 {\rm (stat)}} \phantom{}_{-1{\rm (sys)}}^{+49 {\rm (sys)}}$. Ourresults do not agree with those of Garnavich et al. (2016). Moreover, were-evaluate their claims and find that there is no statistically significantevidence for a shock breakout flare in the light curve of KSN 2011d.

Exploring the efficacy and limitations of shock-cooling models: new analysis of Type II supernovae observed by the Kepler mission