The mass of the scalar boson beyond the largeN_c limit
Abstract
Within the framework of the $1/N_c$ expansion of fourfermion interaction models, we analyse the next to leading $1/N_c$ corrections to the well known large$N_c$ result $M_S=2M_Q$ where $M_S$ is the mass of the scalar boson and $M_Q$ is the constituent quark mass. The calculation is performed in the Extended NambuJona Lasinio (ENJL) model which is suitable for describing low energy hadron properties. We treat the model as fully non renormalizable and discuss the comparison with approaches based on the equivalence with renormalizable Yukawa type models. We consider both the $G_V=0$ and the $G_V\neq 0$ cases with $n_f=2$ flavours and study the dependence upon the regularization scheme. We find that pure nexttoleading $1/N_c$ corrections are large and negative, while a partially resummed treatment can induce positive and smaller corrections. A tripletsinglet states' splitting is observed.
 Publication:

arXiv eprints
 Pub Date:
 June 1996
 arXiv:
 arXiv:hepph/9606286
 Bibcode:
 1996hep.ph....6286P
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 20 pages, LaTex file, uses epsf.sty, rotate.sty, 7 figures uuencoded