Let us follow the discussion of [582], where they begin by considering the simplest model which involves a pNGB θ which comes from the breaking of a global SO (2) symmetry. After integrating out the “radial” degree of freedom and pushing the cutoff of this non-linear sigma model to the point where the interactions become strongly coupled, namely Λ ∼ 4 πf . The inflaton, Φ, can be parameterized as Let us consider the tree-level potential to be: where σ T = ( σ$_{1}$ σ$_{2}$ ) and τ$_{1}$ is the first Pauli matrix. Let us consider a simple situation when g$_{1}$, g$_{2}$ = g = 0. From expanding out the Φs in the potential, one finds: Now computing the one-loop corrections to the mass of θ , the authors of Ref. [582] obtained that there is no one-loop quadratic divergent contribution to a θ mass. This is because θ only couples to the combination σ$_{1}$σ$_{2}$ making it impossible to close a loop with only one vertex. There is a logarithmic divergence at one loop proportional to g$_{1}$g$_{2}$ = g 2 The value of Λ could be as large as M$_{P}$ or below, but the corrections to the potential is only logarithmic dependent. The pNGB inflaton could also originate in SUSY inflation models and in extra dimensional models [582, 584, 585]. Some of the above mentioned challenges can be addressed if inflation is explicitly em- bedded within an observable sector. One such example of inflaton is the SM Higgs in a non-SUSY context. Φ =   cos ( θ/f ) sin ( θ/f ) − sin ( θ/f ) cos ( θ/f )     − 1 1   × f √$_{2}$ (206) V = λ ( σ $^{T}$σ − v 2 ) 2 + g$_{1}$ 4 ( σ $^{T}$Φ) 2 + g$_{2}$ 4 ( σ $^{T}$τ$_{1}$ Φ) 2 (207) V = gf 2 4 ( σ 2 1 + σ 2 − 2 σ$_{1}$σ$_{2}$ cos (2 θ/f )) (208) $^{V$_{1}$}$− loop = g 2 128 π 2 log ( Λ 2 m 2 θ ) (Φ $^{T}$τ$_{1}$ Φ) 2 + ... = g $^{2}$f 4 128 π 2 log Λ 2 m 2 θ cos $^{2}$(2 θ/f ) + ... (209) 94