The $\beta$-function for Yukawa theory at large $N_f$
High Energy Physics - Phenomenology
2018-09-13 v3 High Energy Physics - Theory
Abstract
We compute the -function for a massless Yukawa theory in a closed form at the order in the spirit of the expansion in a large number of flavours . We find an analytic expression with a finite radius of convergence, and the first singularity occurs at the coupling value .
Keywords
Cite
@article{arxiv.1806.06954,
title = {The $\beta$-function for Yukawa theory at large $N_f$},
author = {Tommi Alanne and Simone Blasi},
journal= {arXiv preprint arXiv:1806.06954},
year = {2018}
}
Comments
15 pages, 2 figures. v3 error in the computation of the n-loop scalar self-energy corrected. The first singularity occurs at $K=5$, qualitatively the analysis is unchanged