SLAC -PUB - 3587 February 1985 T/E RENORMALIZATION GROUP CONSTRAINTS IN TWO-HIGGS THEORIES* JONATHAN BAGGER Stanford Linear Accelerator Center Stanford University, Stanford, California, 94305 SAVAS D~~IOPOIJLOS+ Department of Physics Stanford University, Stanford, California, 94305 EDUARD MASSE’ Stanford Linear Accelerator Center Stanford University, Stanford, California, 94305 Submitted to Physics Letters B * Work crupported by the Department of Energy, contract DEAC03-76SFOO515, and by the National Science Foundation, contract NSF-PHY-83-10654. + Alfred P. Sloan Foundation Fellow. $ Fulbright Fellow. On leave of absence from Departament de Ffsica Tebrica, Universitat Autbnoma de Barcelona, Bellatema, Spain.