Gravity Induced Non-Local Effects in the Standard Model

TL;DR

This paper demonstrates that quantum gravity induces non-local effects in the Standard Model's matter sector, deriving effective operators and using collider data to constrain the non-locality scale.

Contribution

It introduces a comprehensive set of non-local effective operators at order NG^2 for various fields and connects quantum gravity effects to experimental bounds.

Findings

Derived non-local operators for scalar, spinor, and vector fields.

Set a lower bound on the non-locality scale at M_* > 3 x 10^{-11} GeV.

Showed non-local effects propagate to matter sector from quantum gravity.

Abstract

We show that the non-locality recently identified in quantum gravity using resummation techniques propagates to the matter sector of the theory. We describe these non-local effects using effective field theory techniques. We derive the complete set of non-local effective operators at order $N G^2$ for theories involving scalar, spinor, and vector fields. We then use recent data from the Large Hadron Collider to set a bound on the scale of space-time non-locality and find $M_\star> 3 \times 10^{-11}$ GeV.