Three-loop chiral effective potential in the Wess-Zumino model
High Energy Physics - Theory
2025-03-07 v2
Abstract
We calculate the three-loop contribution to the chiral effective potential in the massless Wess-Zumino model. It is shown that while the non-renormalisation theorem forbids divergent contributions to the chiral potential, in the massless case the finite corrections survive. There are only three three-loop supergraphs that give rise to a superfield effective action in the pure chiral sector. Two of them are UV finite while the third requires one-loop counterterm corresponding to the chiral field renormalisation.
Cite
@article{arxiv.2503.03358,
title = {Three-loop chiral effective potential in the Wess-Zumino model},
author = {I. L. Buchbinder and R. M. Iakhibbaev and D. I. Kazakov and D. M. Tolkachev},
journal= {arXiv preprint arXiv:2503.03358},
year = {2025}
}