The Free Massive Quadratic Action from the Exotic Model (E7)

TL;DR

This paper explores a novel supersymmetry-violating mass spectrum in the Exotic Model, which modifies the supersymmetry algebra through an exotic invariant, leading to unique mass splitting phenomena analyzed at tree and one-loop levels.

Contribution

It introduces a new exotic invariant that alters the supersymmetry algebra, enabling mass splitting without traditional symmetry breaking, and discusses computational approaches for analyzing these effects.

Findings

Mass splitting occurs at tree level due to gauge symmetry breaking.

One-loop corrections extend the mass splitting to other particles.

The exotic invariant fundamentally changes supersymmetry algebra.

Abstract

The Exotic Model arises from adding a special exotic invariant to the Supersymmetric Standard Model. The Exotic Model has a supersymmetry violating mass spectrum without using spontaneous or explicit breaking of supersymmetry. The splitting arises with gauge symmetry breaking, at tree level, in the supermultiplets of the Z vector boson and a new X vector boson. It spreads to the other particles at one loop. This mass splitting is possible because the exotic invariant changes the algebra of supersymmetry. This paper E7 discusses a number of issues that arise in the calculation of the mass splitting of the Exotic Model. That mass splitting will require computer programs for solution.