Large logarithmic rescaling of the scalar condensate: a subtlety with substantial phenomenological implications

Lattice data, taken since 1998 near the critical line of a 4D Ising model, have been supporting the large logarithmic rescaling of the scalar condensate predicted in the alternative description of symmetry breaking proposed by Consoli and Stevenson. This conclusion has been challenged in a recent paper by Balog et al. In this paper we respond to the criticism of these authors, recapitulate the theoretical and numerical evidences in favour of the alternative interpretation of ‘triviality’ and reiterate our conclusion: ‘triviality’, by itself, cannot be used to place upper bounds on the Higgs boson mass.