We explore the signatures of the ${\tilde{R}}_2$ class of leptoquark (LQ) models at the proposed $e^{-}p$ and $e^{+}p$ colliders. We carry out an analysis for the proposed colliders, LHeC, and FCC-eh, with center of mass (c.m.) energy 1.3 TeV and 3.46 TeV, respectively. For ${\tilde{R}}_2$ class of LQ models, there are a number of final states that can arise from LQs production and their subsequent decays. In this report we do a detailed cut-based analysis for the $l^{\pm }j$ final state. We also discuss the effect of polarized electron and positron beams on LQ production and in turn on $l^{\pm }j$ production. At LHeC, the final state $l^{+}j$ has a very good discovery prospect. We find that, with only $100{\mathrm{fb}}^{-1}$ of data, one can probe LQs of masses up to 1.2 TeV with $5\sigma$ significance, even with a generic set of cuts. On the contrary, at FCC-eh, one can probe LQ masses upto 2.2 TeV (for $e^{-}$ beam) and 3 TeV (for $e^{+}$ beam), at more than $5\sigma$ significance with luminosity $1000{\mathrm{fb}}^{-1}$ and $500{\mathrm{fb}}^{-1}$, respectively.

• Received 21 January 2020
• Accepted 30 March 2020

DOI:https://doi.org/10.1103/PhysRevD.101.075037

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Published by the American Physical Society