Near-SUSY to non-SUSY crossover

Gauge theories can be solved exactly slightly away from the supersymmetric (SUSY) limit softly broken by anomaly mediation when the size of SUSY breaking is much smaller than the dynamical scale ( <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>m</a:mi> <a:mo>≪</a:mo> <a:mi mathvariant="normal">Λ</a:mi> </a:math> ). We show empirical evidence that the near-SUSY limit is continuously connected to the non-SUSY limit ( <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:mi>m</d:mi> <d:mo>≫</d:mo> <d:mi mathvariant="normal">Λ</d:mi> </d:math> ) in <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>SU</g:mi> <g:mo stretchy="false">(</g:mo> <g:msub> <g:mi>N</g:mi> <g:mi>c</g:mi> </g:msub> <g:mo stretchy="false">)</g:mo> </g:math> gauge theories with <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msub> <k:mi>N</k:mi> <k:mi>f</k:mi> </k:msub> </k:math> quarks in the fundamental representation. The evidence includes the behavior of quark bilinear condensate and gluon condensates, light hadron spectra, and consistency with the large <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:msub> <m:mi>N</m:mi> <m:mi>c</m:mi> </m:msub> </m:math> limit including the Witten-Veneziano relations between the topological susceptibility and <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"> <o:msub> <o:mi>m</o:mi> <o:msup> <o:mi>η</o:mi> <o:mo>′</o:mo> </o:msup> </o:msub> </o:math> and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msub> <q:mi>m</q:mi> <q:mi>π</q:mi> </q:msub> </q:math> . In addition, we present new predictions when <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:msub> <s:mi>N</s:mi> <s:mi>f</s:mi> </s:msub> <s:mo>/</s:mo> <s:msub> <s:mi>N</s:mi> <s:mi>c</s:mi> </s:msub> <s:mo>≳</s:mo> <s:mi>O</s:mi> <s:mo stretchy="false">(</s:mo> <s:mn>1</s:mn> <s:mo stretchy="false">)</s:mo> </s:math> .