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We argue that the $125 GeV$ "Higgs" particle is unlikely to arise as afermion- antifermion composite if the underlying dynamics is a vectorial gaugetheory. The reason is that the lightest scalar in such theories is heavier thanthe lightest pseudo-scalar with the mass difference being fixed by the scale ofthe theory. LHC searches suggest that the scale of any new physics, includingthat of a putative new theory dynamically generating the 125 GeV "Higgs"particle, is relatively high $\sim{(1/2TeV-1TeV)}$. Also the LHC analysissuggests that it is {\it scalar} namely $J^P = 0^+$ rather than pseudo-scalar.Thus it is unlikely that the "Higgs" could arise as a composite in suchtheories- though it will arise in special cases when the underlying bindinggauge group is real as a fermion-fermion bound state.  The direct considerations of the various two point functions in the large$N_c$ limit presented below- suggest that massless pseudo-scalars, but not anyother anomalously light meson, arise as composites of massless fermions say themassless u and $\bar{d}$ quarks in QCD. These massless pions manifest thespontaneous breaking of the global axial symmetry in QCD with the pions being(pseudo) Nambu Goldstone Bosons. This offers a different insight into SXSB inQCD and most other confining non-abelian gauge vectorial gauge theory.Specifically we consider the euclidean two point functions $F_I|x-y|$ forasymptotic $|x-y|$ expressed as a sum over fermionic paths. We conjecture thatfor the pseudo-scalar two point function - and for that case only- selfretracing paths and closely related paths make in this limit a positive,coherent and dominant contribution, a contribution which evades the genericasymptotic exponential fall-off and allows the lightest pseudoscalars to bemassless. The same arguments imply that the scalars are very massive.

From Higgs to pions and Back -- the Unbearable Lightness of a Composite Scalar Boson at 125 GeV in Purely Vectorial Theories