Tasting the SU(5) nature of supersymmetry at the LHC

TL;DR

This paper explores SU(5) grand unified theory relations in supersymmetry, proposing new tests at the LHC involving flavor violation and chirality flips, with potential for significant experimental validation.

Contribution

It introduces SU(5) relations immune to quantum corrections, enabling novel TeV-scale tests at the LHC across various SUSY spectra.

Findings

SU(5) relations remain stable up to the TeV scale.

Multiple experimental techniques can test these relations.

Approximately 10-100 events suffice for 3-sigma significance.

Abstract

We elaborate on a recently found SU(5) relation confined to the up-(s)quark flavour space, that remains immune to large quantum corrections up to the TeV scale. We investigate the possibilities opened by this new window on the GUT scale in order to find TeV-scale SU(5) tests realizable at the LHC. These SU(5) tests appear as relations among observables involving either flavour violation or chirality flip in the up-(s)quark sector. The power of these tests is systematically evaluated using a frequentist, p-value based criterion. SU(5) tests in the Heavy supersymmetry (SUSY), Natural supersymmetry and Top-charm supersymmetry spectra are investigated. The latter scenario features light stops and scharms and is well-motivated from various five-dimensional constructions. A variety of SU(5) tests is obtained, involving techniques of top polarimetry, charm-tagging, or Higgs detection from SUSY cascade decays. We find that O(10) to O(100) events are needed to obtain 50% of relative precision at 3-sigma significance for all of these tests. In addition, we propose a set of precision measurements in ultraperipheral collisions in order to search for the flavour-changing dipole operators of Heavy supersymmetry.