Abstract
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.
Highlights
The properties of the narrow resonance that has been discovered at the LHC is fit well by the Standard Model’s (SM’s) Higgs particle hypothesis
In this note we ask a simple question: is it theoretically possible to have additional Higgs-like particles? We are interested in additional scalars that may have a mass different from 126 GeV but with similar production cross section and similar decay width into γγ and W W final states
CMS has made public a note [1] that points to a hint of a resonance at about 136 GeV observed in the γγ channel, which is produced both by gluon fusion and vector boson fusion (VBF), with signal strength close to unity for both
Summary
The properties of the narrow resonance that has been discovered at the LHC is fit well by the Standard Model’s (SM’s) Higgs particle hypothesis. Appendix C is devoted to detailed derivation of the dispersion relation
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