  Lilith is a public Python library for constraining new physics from Higgs
signal strength measurements. Version 2.0 of Lilith comes with an extensive XML
database which includes the ATLAS and CMS Run 2 Higgs results for 36/fb, in
addition the the Run 1 results. Both the code and the database were extended
from the ordinary Gaussian approximation employed in Lilith-1.1 to using
variable Gaussian and Poisson likelihoods. Moreover, Lilith-2 can make use of
correlation matrices of arbitrary dimension. We will report on these novelties
and ongoing developments. The importance of how correlations and uncertainties
are treated will be demonstrated by means of detailed validations of the
implemented experimental results. Moreover, we show the effects for global fits
of reduced Higgs couplings, 2HDMs of Type I and Type II, and invisible Higgs
decays. The program is publicly available on GitHub and can be used to
constrain a wide class of new physics scenarios.
