Perturbative calculation of supersymmetric gradient flow in 𝒩 = 1 supersymmetric QCD


 We demonstrate perturbative calculations of supersymmetric gradient flow in four dimensional ${\mathcal {N}=1}$ supersymmetric QCD (SQCD). A remarkable property of the gradient flow is to make ultraviolet (UV) divergences of flowed field correlators milder. In order to illustrate this property, we calculate two-point functions for the flowed fields in SQCD at one-loop level and investigate their UV divergence structure. After renormalizing the SQCD at the boundary, the two-point functions of flowed gauge supermultiplets are shown to be UV-finite. On the other hand, those for flowed matter supermultiplets require extra wave function renormalization, which are found to be the common factor for all the fields in the multiplets.