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The breaking of parity, a fundamental symmetry between left and right is bestunderstood in the framework of left-right symmetric extension of the standardmodel. We show that the production of a heavy right-handed neutrino at theproposed Large Hadron-Electron Collider (LHeC) could give us the most simpleand direct hint of the scale of this breaking in left-right symmetric theories.This production mode gives a lepton number violating signal with $\Delta L=2$which is very clean and has practically no standard model background. Wehighlight that the right-handed nature of $W_R$ exchange which defines theleft-right symmetric theories can be confirmed by using a polarized electronbeam and also enhance the production rates with relatively lower beam energy.

Polarized window for left-right symmetry and a right-handed neutrino at the Large Hadron-Electron Collider