Mass sum rule for Higgs bosons in arbitrary models

Paul Langacker, H. Arthur Weldon

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


A general quartic potential invariant under a group G and containing any number of scalar fields in arbitrary representations is shown to have a mass spectrum at the symmetrybreaking global minimum satisfying AMA2vA2<~2 (AvA2)2, where vA is the vacuum expectation value of the Ath mass eigenfield with any singlet removed. For SU(2) U(1) with arbitrary Higgs particles this guarantees that the lightest neutral scalar boson will satisfy Mmin2<2GF= (350 GeV)2 where is a particular quartic coupling constant.

Original languageEnglish (US)
Pages (from-to)1377-1379
Number of pages3
JournalPhysical review letters
Issue number16
StatePublished - 1984

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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