  We determine the quark-hadron transition line in the whole region of
temperature (T) and baryon-number chemical potential (\mu_B) from lattice QCD
results and neutron-star mass measurements, making the quark-hadron hybrid
model that is consistent with the two solid constraints. The quark part of the
hybrid model is the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with
entanglement vertex that reproduces lattice QCD results at mu_B/T=0, while the
hadron part is the hadron resonance gas model with volume-exclusion effect that
reproduces neutron-star mass measurements and the neutron-matter equation of
state calculated from two- and three-nucleon forces based on the chiral
effective field theory. The lower bound of the critical mu_B of the
quark-hadron transition at zero T is mu_B = 1.6 GeV. The interplay between the
heavy-ion collision physics around mu_B/T =6 and the neutron-star physics where
mu_B/T is infinity is discussed.
