It is i
mportant to provide guidance on whether CP violation
may be
measurable in top-quark production at the Large Hadron Collider. The present work extends an earlier analysis of the non-supersy
mmetric two-Higgs-doublet
model in this respect, by allowing a
more general potential. Also, a
more co
mprehensive study of theoretical and experi
mental constraints on the
model is presented. Vacuu
m stability, unitarity, direct searches and electroweak precision
measure
ments severely constrain the
model. We explore, at low
me="mml62">method=retrieve&_udi=B6TVC-4NHM550-3&_mathId=mml62&_user=10&_cdi=5531&_rdoc=4&_acct=C000050221&_version=1&_userid=10&md5=086bfe1b34b28262201e474cfd9b3441" title="Click to view the MathML source">tanβ, the allowed regions in the
multidi
mensional para
meter space that give a viable physical
model. This exploration is focused on the para
meter space of the neutral sector rotation
matrix, which is closely related to the Yukawa couplings of interest. In
most of the re
maining allowed regions, the
model violates CP. We present a quantitative discussion of a particular CP-violating observable. This would be
measurable in se
mileptonically decaying top and antitop quarks produced at the LHC, provided the nu
mber of available events is of the order of a
million.