Theoretical Constraints on Additional Higgs Bosons in Light of the 126 GeV Higgs

Understand

We present a sum rule for Higgs fields in general representations under $SU(2)_L \times U(1)_Y$ that follows from the connection between the Higgs couplings and the mechanism that gives the electroweak bosons their masses, and at the same time restricts these couplings.

• Sum rules that follow from perturbative unitarity will require us to include singly and doubly charged Higgses in our analysis.
• We examine the consequences of these sum rules for Higgs phenomenology in both model independent and model specific ways.
• The relation between our sum rules and other works, based on dispersion relations, is also clarified.