Left–right symmetry and heavy particle quantum effects

Abstract

We have renormalized a classical left–right model with a bidoublet, and left and right triplets in the Higgs sector. We focus on oblique corrections and show the interplay between the top quark, heavy neutrinos and Higgses contribution to the muon Δr parameter. In the SM, custodial symmetry prevents large oblique corrections to appear. Although in LR models there is no such symmetry to make vanish the quadratically diverging terms, we have shown that heavy Higgses contributions to Δr are under control. Also the top contribution to Δr, quite different from that in the SM, is discussed. However, heavy neutrinos seem to give the most important contributions. From oblique corrections they can be as large as the SM top one. Moreover, vertex and box diagrams give additional non-decoupling effects and only concrete numerical estimates are able to answer the question whether the model is still self-consistent.