content_image/374818.jpg content_image/374814.jpg content_image/374815.jpg
<img src='content_image/374818.jpg'>

In this paper we investigate potential of QCDE stages of the LHeC in search for color octet electron via resonant production. In section 2, Lagrangian for e 8 interactions is presented and it’s decay widths and production cross sections at different stages of LHeC are evaluated. 

Section 3 is devoted to detailed analysis of leptogluon signatures at QCD-E stages of the LHeC. Finally, concluding remarks are given in section 4. 

## II. INTERACTION LAGRANGIAN, DECAY WIDTH AND PRODUCTION CROSS SECTION 

For the interaction of leptogluons with corresponding lepton and gluon we use the fol- lowing Lagrangian [8], [20]: 

<img src='content_image/374814.jpg'>

where G α µν is field strength tensor for gluon, index α = 1 , 2 , ..., 8 denotes the color, g$_{s}$ is gauge coupling, η$_{L}$ and η$_{R}$ are the chirality factors, l$_{L}$ and l$_{R}$ denote left and right spinor components of lepton, σ µν is the anti-symmetric tensor and Λ is the compositeness scale. The leptonic chiral invariance implies η$_{L}$η$_{R}$ = 0 . For numerical calculations we add leptogluons into the CalcHEP program [21]. 

Decay width of the color octet electron is given by 

<img src='content_image/374815.jpg'>

In Fig. 1 decay widths of leptogluons are presented for two scenarios, Λ = M$_{e}$ 8 and Λ = 10 TeV. 

