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We present a novel statistic to extract cosmological information in weaklensing data: the lensing minima. We also investigate the effect of baryons onthe cosmological constraints from peak and minimum counts. Using the\texttt{MassiveNuS} simulations, we find that lensing minima are sensitive tonon-Gaussian cosmological information and are complementary to the lensingpower spectrum and peak counts. For an LSST-like survey, we obtain $95\%$credible intervals from a combination of lensing minima and peaks that aresignificantly stronger than from the power spectrum alone, by $44\%$, $11\%$,and $63\%$ for the neutrino mass sum $\sum m_\nu$, matter density $\Omega_m$,and amplitude of fluctuation $A_s$, respectively. We explore the effect ofbaryonic processes on lensing minima and peaks using the hydrodynamicalsimulations \texttt{BAHAMAS} and \texttt{Osato15}. We find that ignoringbaryonic effects would lead to strong ($\approx 4 \sigma$) biases in inferencesfrom peak counts, but negligible ($\approx 0.5 \sigma$) for minimum counts,suggesting lensing minima are a potentially more robust tool against baryoniceffects. Finally, we demonstrate that the biases can in principle be mitigatedwithout significantly degrading cosmological constraints when we model andmarginalize the baryonic effects.

Weak Lensing Minima and Peaks: Cosmological Constraints and the Impact of Baryons