From Super QCD to QCD

TL;DR

This paper introduces a toy model for supersymmetry breaking in super QCD, demonstrating decoupling of superpartners and the transition to ordinary QCD, including analysis of meson potentials and ' mass dependence.

Contribution

It provides a novel effective Lagrangian approach to model supersymmetry breaking and decoupling in super QCD, connecting it to non-supersymmetric QCD phenomena.

Findings

Decoupling of gluinos and squarks achieved below a certain scale.

QCD potential transitions naturally after quark decoupling.

' mass dependence analyzed for different N_c and N_f.

Abstract

We present a ``toy'' model for breaking supersymmetric gauge theories at the effective Lagrangian level. We show that it is possible to achieve the decoupling of gluinos and squarks, below a given supersymmetry breaking scale m, in the fundamental theory for super QCD once a suitable choice of supersymmetry breaking terms is made. A key feature of the model is the description of the ordinary QCD degrees of freedom via the auxiliary fields of the supersymmetric effective Lagrangian. Once the anomaly induced effective QCD meson potential is deduced we also suggest a decoupling procedure, when a flavored quark becomes massive, which mimics the one employed by Seiberg for supersymmetric theories. It is seen that, after quark decoupling, the QCD potential naturally converts to the one with one less flavor. Finally we investigate the N_c and N_f dependence of the \eta^{\prime} mass.