Mass Splitting in a Linear Sigma Model

Abstract

We derived the tree level spectrum to an extension to the linear sigma model describing an EFT for an $SU(3{)}_c$ gauge theory with $N_f$ flavors of fermions and $N_1$ fermions have a mass $m_l$ and $N_2$ fermions have a mass $m_h$. We examined the effects of a small mass splitting on single mass data for 8 and 12 flavors of fermions corresponding to the unperturbed case. Our intention is to encourage more simulations of split mass theories with 8, 10 and 12 flavors of fermions.

Comments: 5 pages, 3 figures, Proceedings of The 36th Annual International Symposium on Lattice Field Theory - LATTICE2018 22-28 July, 2018