# Probing the anomalous $tq\gamma$ couplings through single top production at the future lepton-hadron colliders

## TL;DR

This paper explores the potential of future muon-proton colliders to detect anomalous top quark interactions with photons, providing significantly improved constraints on rare decay processes compared to current experiments.

## Contribution

It introduces a novel analysis of top quark flavor changing neutral current interactions at future colliders, estimating their sensitivity to anomalous couplings and decay branching ratios.

## Key findings

- Constraints on BR(t → qγ) are improved to the order of 10^{-7}.
- Future colliders can significantly surpass current LHC limits.
- Potential to probe non-standard top quark interactions with high precision.

## Abstract

The measurements of the top quark flavor changing neutral current interactions are one of the most important goals of the top quark physics program in the present and the future collider experiments. These measurements provide direct information on non-standard interactions of the top quark. Within the framework of new physics beyond the Standard Model, these interactions can be defined by an effective Lagrangian. In this study, we have investigated the potential of the future $\mu p$ colliders on the top quark flavor changing neutral current interactions through the subprocesses $\gamma q \rightarrow t \rightarrow W b$ where $q=u,c$. These subprocesses have been produced through the main reaction $\mu p \rightarrow \mu \gamma p \rightarrow \mu W b X $ at the LHC$-\mu p$, the FCC$-\mu p$ and the SPPC-$\mu p$. For the main reaction, the total cross sections have been calculated as a function of the anomalous $ tq\gamma $ couplings. In addition, sensitivities on BR($t \rightarrow q \gamma$) at $95\%$ Confidence Level have been calculated. We obtain that the best constraints on BR($t \rightarrow q \gamma$) are at the order of 10$^{-7}$ which is four orders of magnitude better than the LHC's experimental results.