# Dijets at Tevatron Cannot Constrain SMEFT Four-Quark Operators

## TL;DR

This paper demonstrates that Tevatron dijet data cannot effectively constrain SMEFT four-quark operators when theoretical consistency and errors are properly considered, highlighting limitations of low-precision measurements for new physics constraints.

## Contribution

The study clarifies the limitations of Tevatron data in constraining SMEFT four-quark operators by enforcing perturbative consistency and accounting for theoretical errors.

## Key findings

- Tevatron data cannot constrain four-quark contact interactions under proper SMEFT analysis.
- Theoretical errors and perturbative consistency significantly reduce the constraining power.
- Low luminosity and systematic errors limit the sensitivity of Tevatron measurements.

## Abstract

We explore the sensitivity of Tevatron data to heavy new physics effects in differential dijet production rates using the SMEFT in light of the fact that consistent and conservative constraints from the LHC cannot cover relatively low cutoff scales in the EFT. In contrast to the results quoted by the experimental collaborations and other groups, we find that, once consistency of the perturbation expansion is enforced and reasonable estimates of theoretical errors induced by the SMEFT series in $\frac{E}{\Lambda}$ are included, there is no potential to constrain four-quark contact interactions using Tevatron data. This shows the general difficulty of constraining physics model-independently using fairly imprecise measurements, limited by low luminosity and/or systematic errors inherent to the precision of the detectors.