# Top FCNC interactions through dimension six four-fermion operators at the electron proton collider

## TL;DR

This paper explores the potential of the LHeC electron-proton collider to detect flavor-changing neutral currents mediated by dimension six four-fermion operators, using Monte Carlo simulations and invariant mass reconstruction techniques.

## Contribution

It provides the first detailed analysis of top FCNC four-fermion operators at the LHeC, establishing competitive sensitivity limits through full detector-level simulations.

## Key findings

- LHeC can set competitive limits on top FCNC operators.
- Invariant mass scheme effectively reduces background.
- Quantitative bounds on specific four-fermion operator coefficients.

## Abstract

We investigate the flavour changing neutral currents (FCNC) generated by dimension six four-fermion operators at the Large Hadron-Electron Collider (LHeC) proposed at CERN in an effective approach. This is performed by monte carlo analysis at the full detector level, as the background is successfully reduced by using invariant mass scheme to require the final states to reconstruct the mass (transverse mass) of the top quark (W boson). Our analysis shows that the future electron proton colliders like the LHeC can probe competitive limits for the top FCNC dimension six four fermion operators such as $C_{lq}^{(1)ee31} < 0.0647$, $C_{lu}^{ee31} < 0.109$, $C_{lequ}^{(1)ee31} < 0.217$ and $C_{lequ}^{(3)ee31} < 0.0209$ in the Warsaw basis.