The Restoration of the Electroweak Symmetry at High Temperature for Little Higgs

In this letter, we show that the electroweak symmetry is restored at high temperature for Little Higgs (LH), when including dominant higher order thermal corrections, that are consequence of the non-linear nature of the scalar sector. This leads us to suggest that the LH requires a UV completion above the scale $\mathrm{\Lambda }\lesssim f$.