Extra Dimensions and Fuzzy Branes in String-inspired Nonlocal Field Theory

TL;DR

This paper explores how nonlocal string-inspired field theories with extra dimensions and fuzzy branes can naturally generate flavor hierarchies, address Higgs mass stabilization, and offer new model building avenues in high-energy physics.

Contribution

It introduces a novel framework combining fuzzy branes and nonlocality in extra-dimensional models, providing new mechanisms for flavor hierarchy and Higgs mass stabilization.

Findings

Fuzzy branes allow delocalized interactions with suppressed couplings.

A new realization of split fermions naturally generating flavor hierarchies.

Nonlocal scale is redshifted in warped extra dimensions, acting as a UV cutoff.

Abstract

Particle physics models with extra dimensions of space (EDS's) and branes shed new light on electroweak and flavor hierarchies with a rich TeV scale phenomenology. This article highlights new model building issues with EDS's and branes, arising in the framework of weakly nonlocal field theories. It is shown that a brane-localized field is still delocalized in the bulk on a small distance from the brane position: fields localized on such distant fuzzy branes are thus allowed to interact directly with suppressed couplings. Directions for model building are also given: (i) with fuzzy branes, a new realization of split fermions in an EDS is presented, naturally generating flavor hierarchies; (ii) with a warped EDS, the usual warp transmutation of a brane-localized mass term is revisited, where it is shown that the nonlocal scale is also redshifted and provides a smooth UV cutoff for the Higgs boson mass. This framework is expected to have natural UV completions in string theory, but the possibility to embed it in recent UV complete weakly nonlocal quantum field theories is commented.