Targeting the conformal window with 4+8 flavors

Abstract: We study the transition between spontaneous chiral symmetry breaking and conformal behavior in the SU(3) theory with multiple fermion flavors. Instead of the traditional approach of changing the number of flavors, we keep the number of fermions fixed but lift the mass of a subset, keeping the remaining fermions near to the massless chiral limit. This way we can interpolate continuously between the conformal and chirally broken dynamics. In particular, we consider four light and eight heavy flavors and investigate the running/walking gauge coupling and the low energy meson spectrum, including the 0++ iso-singlet scalar state in this system. Our preliminary data reveal an iso-singlet scalar that is considerably lighter than the pion at large fermion mass but becomes heavier at smaller masses. This behavior is of particular phenomenological interest.