The Confining Phase Kähler Potential in SUSY QCD

We investigate the low energy structure of the Kähler potential in SUSY QCD with Nf = Nc + 1 quark flavors. Since this theory’s moduli space is everywhere smooth, a systematic power series expansion of its Kähler potential can be developed in terms of confined meson and baryon fields. Perturbation theory in the supersymmetric sigma model based upon a momentum expansion consistent with naive dimensional analysis and 1/Nf power counting exhibits some similarities with ordinary QCD chiral perturbation theory along with several key differences. We compute meson and baryon wavefunction renormalization as well as Kähler potential operator mixing to leading nontrivial order. We also deduce the asymptotic dependence of the lowest dimension operators’ coefficients upon moduli space location along flat directions where the theory is Higgsed down to Nf − 1 = (Nc − 1) + 1 SUSY QCD. Although an exact form for the confining phase Kähler potential remains unknown, we find that some detailed Kähler sector information can nevertheless be derived from first principles.