Mass dimension one fermions at 1-loop

TL;DR

This paper studies 1-loop quantum corrections in a fermionic theory with mass dimension one, revealing divergence cancellations in 4-point functions and confirming renormalizability through mass parameter adjustments.

Contribution

It demonstrates the renormalization of mass and the finiteness of 4-point functions at 1-loop in a novel fermionic model with mass dimension one.

Findings

Self-energy divergences are absorbed by mass renormalization.

4-point functions are finite at 1-loop due to divergence cancellations.

Complete four-fermion interaction basis is discussed.

Abstract

We investigate 1-loop contributions to the 2- and 4-point correlation functions within a theory for fermions with mass dimension one with a simple quartic self-interaction term. The 1-loop divergence appearing the self-energy function can be consistently absorbed by renormalization of the mass parameter. In the case of the (1PI) 4-point correlation function, there is a surprising cancellation of divergences coming from different diagrams, leading to a finite 1-loop result. The inclusion of a complete basis of four-fermion interactions is discussed.