Sphalerons and the electroweak phase transition in models with higher scalar representations

Amine Ahriche, Talal Ahmed Chowdhury, Salah Nasri

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


In this work we investigate the sphaleron solution in a SU(2) × U(1)X gauge theory, which also encompasses the Standard Model, with higher scalar representation(s) (J(i), X(i)). We show that the field profiles describing the sphaleron in higher scalar multiplet, have similar trends like the doublet case with respect to the radial distance. We compute the sphaleron energy and find that it scales linearly with the vacuum expectation value of the scalar field and its slope depends on the representation. We also investigate the effect of U(1) gauge field and find that it is small for the physical value of the mixing angle, θW and resembles the case for the doublet. For higher representations, we show that the criterion for strong first order phase transition, vc/Tc> η, is relaxed with respect to the doublet case, i.e. η < 1.

Original languageEnglish
Article number96
JournalJournal of High Energy Physics
Issue number11
Publication statusPublished - Nov 2014


  • Cosmology of Theories beyond the SM
  • Gauge Symmetry
  • Higher Spin Symmetry
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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