Indirect bounds on heavy scalar masses of the two-Higgs-doublet model in   light of recent Higgs boson searches
  We study an upper bound on masses of additional scalar bosons from the electroweak precision data and theoretical constraints such as perturbative unitarity and vacuum stability in the two Higgs doublet model taking account of recent Higgs boson search results. If the mass of the Standard-Model-like Higgs boson is rather heavy and is outside the allowed region by the electroweak precision data, such a discrepancy should be compensated by contributions from the additional scalar bosons. We show the upper bound on masses of the additional scalar bosons to be about 2 $(1)$ TeV for the mass of the Standard-Model-like Higgs boson to be 240 $(500)$ GeV. 
Shinya Kanemura, Yasuhiro Okada, Hiroyuki Taniguchi, Koji Tsumura
hep-ph