  We introduce a class of asymmetries sensitive to the spin and CP properties
of the new boson discovered by the ATLAS and CMS experiments. These asymmetries
can be measured in the four-lepton final state, and are defined by integrating
the invariant masses of the lepton pairs over specified ranges. We outline a
program of measurements using initial LHC data to determine the quantum numbers
and coupling structure, provide analytic expressions for decay widths in
several representative models, and discuss what can be determined using the
available data. As examples, we show how the combination of ATLAS and CMS data
already disfavor certain spin-2 couplings, and discuss how further data will
allow for discrimination of a pure CP-odd scalar from a CP-even hypothesis.
