We study the constraints on the Lee-Wick Higgs sector arising from direct
collider searches. We work in an effective-field theory framework, where all of
the Lee-Wick partners are integrated out, with the sole exception of the
Lee-Wick Higgs bosons. The resulting theory is a two-Higgs doublet model where
the second doublet has wrong-sign kinetic and mass terms. We include the bounds
coming from direct Higgs searches at both LEP and Tevatron using the code
HiggsBounds, and show the currently excluded parameter space. We also analyze
the prospects of LHC Run-I, finding that with a total integrated luminosity of
5 fb −1 and a center-of-mass energy of 7 TeV, most of the parameter space
for the SM-like CP-even Higgs will be probed.Comment: 26 pages, 5 figures, matches version published by PR
