We report a search for standard model (SM) production of a Higgs
boson which decays to WW* in two charged leptons (e,mu) and two neutrino
final state in p anti-p collisions at s**(1/2) = 1.96 TeV.  The data were
collected with the CDF II detector at the Fermilab Tevatron and correspond
to an integrated luminosity of 1.1 fb-1.  The Matrix Element method is used
to calculate the event probability and to construct a likelihood ratio
discriminator.  The observed (the median of the expected) 95% Confidence
Level (CL) upper limit for sigma(H --> WW*) with 160 GeV/c2 mass hypothesis
is 1.3(1.8) pb which is 3.4(4.8) times the SM prediction at next-to-leading
logarithmic level (NNLL) calculation.  The SM ZZ production search is
performed in the same final states.  The observed significance is 1.9 sigma
and the 95% CL upper limit is 3.4 pb which is consistent with the
next-to-leading order (NLO) calculation of 1.4 +/- 0.1 pb2.