Towards LHC Physics with Non-local Standard Model

TL;DR

This paper explores a string-inspired nonlocal extension of the Standard Model, demonstrating how nonlocality can address the hierarchy problem and analyzing collider phenomenology with bounds from LHC data.

Contribution

It constructs a nonlocal Standard Model framework, performs quantum loop calculations, and derives experimental bounds on the nonlocality scale.

Findings

Nonlocal scalar field theory loop calculations demonstrated

Modified gauge interactions derived and applied

LHC data sets a nonlocality scale lower bound of 2.5-3 TeV

Abstract

We take a few steps towards constructing a string-inspired nonlocal extension of the Standard Model. We start by illustrating how quantum loop calculations can be performed in nonlocal scalar field theory. In particular, we show the potential to address the hierarchy problem in the nonlocal framework. Next, we construct a nonlocal abelian gauge model and derive modifications of the gauge interaction vertex and field propagators. We apply the modifications to a toy version of the nonlocal Standard Model and investigate collider phenomenology. We find the lower bound on the scale of non-locality from the 8 TeV LHC data to be $2.5-3$ TeV.