Electroweak two-loop contribution to the mass splitting within a new heavy SU(2)${}_L$ fermion multiplet

Abstract

New heavy particles in an SU(2)_L multiplet, sometimes introduced in extensions of the standard model, have highly degenerate tree-level mass M if their couplings to the Higgs bosons are very small or forbidden. However, loop corrections may generate the gauge-symmetry-breaking mass splitting within the multiplet, which does not vanish in the large M limit due to the threshold singularity. We calculate the electroweak contribution to the mass splitting for a heavy fermion multiplet, to the two-loop order. Numerically, two-loop electroweak contributions are typically O(MeV).

14 pages, style changed, analytic forms of two-loop functions added

References in corpus (4)

• Cosmology and Astrophysics of Minimal Dark Matter
• Scalar Multiplet Dark Matter
• Minimal Dark Matter predictions for galactic positrons, anti-protons, photons
• Fermion Triplet Dark Matter and Radiative Neutrino Mass

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