We prove (to all-orders perturbations) that all UVQD\, together with all other relevant operators\, therefore vanish identically in GML’s spontaneous symmetry broken (SSB) Goldstone-mode\, where pions are true NGB (i.e. exactly massless). A weak-scale Higgs mass is natural in SSB GML\, the Higgs mass and vacuum expectation value (VEV) are stable against quantum corrections and not FT: SSB GML has no Higgs FT problem. Neither do the SSB O(4) Schwinger model (PCAC=0) or the Standard Model (SM). No-Higgs-FT is simply another (albeit unfamiliar) consequence of WTI and the Goldstone Theorem.

A huge class of high-mass-scale (M_{Heavy}>>m_{Higgs}) extensions of GML\, Schwinger and SM also demonstrate naturalness\, no-FT and heavy particle decoupling. We display two examples: a heavy (M_S >> m_{Higgs}) real scalar field; and a right-handed Type 1 See-Saw Majorana neutrino with M_R >> m_{Higgs}. We prove that for |q^2| << M_{Heavy}^2\, the heavy degrees of freedom contribute only irrelevant and marginal operators. Phenomenological consequences include the renewed possibility of thermal lepto-genesis in the neutrino-MSM. It is also easy to construct no-Higgs-FT models with very high-scale SUSY breaking.

We conjecture that\, since classical General Relativity (GR) couples democratically to spin=0\, ½ and 1 quantum particles\, GR+SM (and maybe certain quantum gravity theories) will also retain naturalness\, avoiding FT problems. Absent a SM FT problem\, there should be no expectation that LHC14 will discover physics beyond the SM which is unrelated to neutrino mixing\, the only known experimental failure of the SM. URL:http://www.physics.wisc.edu/twap/view.php?id=3478 END:VEVENT END:VCALENDAR