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\nWe prove (to all-orders perturbations) that all UVQD\, together with all other relevant operat ors\, therefore vanish identically in GML’s spontaneous symmetry bro ken (SSB) Goldstone-mode\, where pions are true NGB (i.e. exactly mass less). A weak-scale Higgs mass is natural in SSB GML\, the Higgs mass and vacuum expectation value (VEV) are stable against quantum correcti ons 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 i s simply another (albeit unfamiliar) consequence of WTI and the Goldst one Theorem.

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\nA huge class of high-mass-scale (M_{Heavy}>> m_{Higgs}) extensions of GML\, Schwinger and SM also demonstrate natur alness\, no-FT and heavy particle decoupling. We display two examples: a heavy (M_S >> m_{Higgs}) real scalar field\; and a right-handed Typ e 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 i rrelevant and marginal operators. Phenomenological consequences includ e 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.

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\nWe conjecture that\, since classical Gene ral Relativity (GR) couples democratically to spin=0\, ½ and 1 quantu m 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 bey ond the SM which is unrelated to neutrino mixing\, the only known expe rimental failure of the SM. URL:https://www.physics.wisc.edu/twap/?id=3478 END:VEVENT END:VCALENDAR