Gluinonia: Energy Levels, Production and Decay

TL;DR

This work computes a NNLO QCD potential for color-octet gluinonia and uses it to predict the spectrum and wave functions of the lowest gluinonium levels. It then provides NLO/NNLO-corrected predictions for production cross sections at the LHC and for annihilation decays, emphasizing the dominant two-gluon channel and exploring rarer decays to tar{t} and γγ. The study also estimates the signal-to-background ratio for the dijet signature and assesses the feasibility of detection for relatively light gluinos, finding that gluinonia could be observable with high LHC luminosity in favorable mass scenarios. Overall, the paper offers a framework to extract gluino properties and color-octet dynamics from bound-state signals at hadron colliders.

Abstract

Predictions for energy levels, production and decay rate of gluinonia, non-relativistic boundstates of gluinos, are presented. The potential between color-octet constituents is derived in next-to-next-to leading order and one-loop QCD corrections are derived for the production cross section and the decay rate into gluon jets. In addition we evaluate the decay rate into top quarks and into two photons. The signal-to-background ratio is estimated for the dominant decay mode and found to be around 0.5%. For relatively light gluinos the bound states thus might be detectable.

Figures (15)

• Figure 1: Typical NLO contributions to the $q\overline{q}$ potential. Straight and curely lines represent quarks and gluons, respectively.
• Figure 2: Typical NNLO contributions to the $q\overline{q}$ potential. The same notation as in Fig. \ref{['feynNLO']} has been adopted.
• Figure 3: Ground state energy $E_{1}$ in the pole mass scheme as function of twice the constituent mass.
• Figure 4: Ground state energy $E_{1}$ in the potential subtracted mass scheme as function of twice the potential subtracted mass. The curves have been obtained using the pole mass as input and evaluating both the potential subtracted mass (using Eq. (\ref{['mPS']})) and $E_1^{PS}$ to a given order in $\alpha_s$. Note that the dash-dotted and dashed curves are almost on top of each other.
• Figure 5: Meson mass difference $M(2S)-M(1S)$ as function of twice the constituent mass.