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.

arXiv comment5 pages, 3 figures, Proceedings of The 36th Annual International Symposium on Lattice Field Theory - LATTICE2018 22-28 July, 2018

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