Does unitarity imply finiteness of electroweak oblique corrections at one loop? Constraining extra neutral Higgs bosons

Ryo Nagai, Masaharu Tanabashi, Koji Tsumura

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Introducing an arbitrary number of neutral Higgs bosons in the electroweak symmetry breaking sector, we derive a set of conditions among Higgs couplings which need to be satisfied to maintain the unitarity of the high energy scattering amplitudes of weak gauge bosons at the tree level (unitarity sum rules). It is shown that the unitarity sum rules require the tree level ρ parameter to be 1, without explicitly invoking the custodial symmetry arguments. The one loop finiteness of the electroweak oblique corrections is automatically guaranteed once these unitarity sum rules are imposed among Higgs couplings. Severe constraints on the lightest Higgs coupling (125 GeV Higgs coupling) and the mass of the second lightest Higgs boson are obtained from the unitarity and the results of the electroweak precision tests (oblique parameter measurements). These results are compared with the effective theory of the light Higgs boson, and we find simple relationships between the mass of the second lightest Higgs boson in our framework and the ultraviolet cutoff in the effective theory framework.

Original languageEnglish
Article number034030
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number3
DOIs
Publication statusPublished - Feb 24 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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