Protecting unparticles from the MSSM Higgs sector
Ann E. Nelson, Maurizio Piai, Christopher Spitzer

TL;DR
This paper presents a model where a supersymmetric unparticle sector interacts with the MSSM Higgs, leading to observable signatures and breaking conformal invariance at low energies, with implications for Higgs decays and supersymmetry breaking.
Contribution
It introduces a supersymmetric unparticle sector coupled to the MSSM via heavy messengers, demonstrating how Higgs interactions influence conformal dynamics and produce distinctive experimental signatures.
Findings
Higgs coupling drives the Seiberg sector to a new conformal fixed point
Higgs decay into the unparticle sector yields observable signatures
Supersymmetric particles can decay into the hidden sector with unique kinematics
Abstract
We construct a model of an unparticle sector consisting of a supersymmetric SU(N) gauge theory with the number of flavors in the Seiberg conformal window. We couple this sector to the MSSM via heavy messengers. The resulting low energy theory has a Higgs coupling to unparticles. The Higgs vev drives the hidden Seiberg sector to a new conformal fixed point. The coupling to the Higgs mediates supersymmetry breaking to the Seiberg sector, and breaks conformal invariance at a lower scale. The low energy theory contains light stable and metastable mesons. Higgs decay into this sector gives signatures which are similar to those of "hidden valley" models. Decays of the lightest superpartner of standard model particles into the hidden sector reveal potentially observable unparticle kinematics.
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