Explaining the CMS $eejj$ and $e\mathrm{missing}{\mathrm{p}}_{\mathrm{T}}\mathrm{jj}$ excess and leptogenesis in superstring inspired $E_6$ models

Abstract

We show that superstring inspired $E_6$ models can explain both the recently detected excess $eejj$ and $e\mathrm{missing}{\mathrm{p}}_{\mathrm{T}}\mathrm{jj}$ signals at CMS, and also allow for leptogenesis. Working in a R-parity conserving low energy supersymmetric effective model, we show that the excess CMS events can be produced via the decay of exotic sleptons in Alternative Left-Right Symmetric Model of $E_6$, which can also accommodate leptogenesis at a high scale. On the other hand, either the $eejj$ excess or the $e\mathrm{missing}{\mathrm{p}}_{\mathrm{T}}\mathrm{jj}$ excess can be produced via the decays of right handed gauge bosons, but some of these scenarios may not accommodate letptogenesis as there will be strong $B-L$ violation at low energy, which, along with the anomalous fast electroweak $B+L$ violation, will wash out all baryon asymmetry. Baryogenesis below the electroweak scale may then need to be implemented in these models.

arXiv commentv3: 9 pages, 9 figures, matches published version

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