The Gildener-Weinberg Two-Higgs Doublet Model at Two Loops

Nobody (no theorist, anyway) believes that H(125) is all there is to the Higgs sector of electroweak symmetry breaking. Then why is H so light and why does it have Standard Model couplings to gauge bosons and fermions? The GW-2HDM answers these questions: (1) H is the (pseudo-) Goldstone boson of spontaneously-broken scale symmetry, and (2) as a consequence, H is “aligned”, i.e., has these SM couplings to a very high degree. As a corollary, many popular searches for BSM Higgs bosons are — and will remain — fruitless. Two years ago, I talked about this here in the one-loop approximation of the model’s effective potential, Veff. To assess the accuracy of these predictions, Estia Eichten and I extended the calculation of Veff to two loops. (A calculation no one will repeat!) The new results for BSM Higgs masses and best production modes are presented in this talk.