Constraints on the septet-doublet mixing models from oblique parameters

Nov 23, 2014
11 pages
Published in:
  • Phys.Rev.D 91 (2015) 7, 073014
  • Published: Apr 14, 2015
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Abstract: (APS)
The limitations of doublet-septet mixing models resulting from the deviations of electroweak oblique parameters ΔS and ΔT are studied. In the minimal model, the mixture of the septet η and the scalar doublet in the standard model (SM) is driven by a non-Hermitian dimension-7 operator. For a smaller bare mass of the septet, ΔS puts a stringent constraint on the mixing angle sinβ between the CP-odd neutral parts of the SM Higgs doublet and η. In general, increasing the mass of the scalar septet Mη will enhance the deviation of T from the SM, whereas it decreases the magnitude of ΔS for a larger bare mass within the range Mη≲400  GeV. We also examine two extended models from the ordinary doublet-septet mixture pattern. One of them is based on an inert doublet-septet mixing pattern, in which there is no vacuum expectation value for the neutral component of η and stable dark matter could naturally exist. For a benchmark point with the inner doublet mass of Mχ=250 and Mη=400  GeV in this model, the mixing coefficient is found to be less than 1.8. The other extension is constructed by imposing a doubly charged scalar mixed with the doubly charged component of the septet. Apart from the contribution by the septet-doublet admixture, ΔS is suppressed by a factor of sW2 and ΔT has a significant constraint due to the vanishing vacuum polarization of Z at the momentum transfer p2=0.
Note:
  • 19 pages, 3 figures, revised version accepted by PRD
  • 12.15.Lk
  • 12.60.Fr
  • 14.80.-j
  • new physics
  • multiplet: scalar
  • scalar particle: multiplet
  • scalar particle: doublet
  • scalar particle: new particle
  • scalar particle: mass
  • mass: scalar