Supersymmetric Unparticle Effects on Higgs Boson Mass and Dark Matter

TL;DR

This paper introduces a supersymmetric unparticle operator into the MSSM, affecting Higgs mass limits and dark matter candidates, with implications for collider physics and scale invariance violation.

Contribution

It proposes a novel supersymmetric unparticle operator in the MSSM, offering new mechanisms for Higgs mass relaxation and dark matter candidates.

Findings

Unparticle operator can relax the Higgs mass upper limit.

Higgsino can decay into a spinor unparticle.

Unparticle interactions can violate scale invariance near the electroweak scale.

Abstract

We propose a model that introduces a supersymmetric unparticle operator in the minimal supersymmetric Standard Model. We analyze the lowest dimension operator involving an unparticle. This operator behaves as a Standard Model gauge singlet and it introduces a new parameter into the Higgs potential which can provide an alternative way to relax the upper limit on the lightest Higgs boson mass. This operator also introduces several unparticle interactions which can induce a neutral Higgsino to decay into a spinor unparticle. It also induces violation of scale invariance around the electroweak scale. It is necessary for the scale of this violation to be larger than the lightest supersymmetric particle mass to maintain the latter as the usual weakly interacting massive particle dark matter candidate. An alternative is to have unparticle state as dark matter candidate. We also comment on some collider implications.