Discriminating 4D supersymmetry from its 5D warped version

TL;DR

This paper develops tests to distinguish 4D supersymmetry from 5D warped SUSY models at colliders, focusing on mass spectra, decay patterns, and Higgs couplings, supported by a detailed theoretical framework.

Contribution

It introduces novel phenomenological tests and a regularization method for 5D SUSY models, enhancing the ability to identify extra-dimensional supersymmetry signatures.

Findings

Distinctive squark/slepton mass patterns in RS SUSY

Enhanced Higgs decay into sleptons in RS SUSY

Cancellation of quadratic divergences at one-loop in 5D SUSY

Abstract

In the scenario where only superpartners were produced at the Large Hadron Collider, how one could determine whether the supersymmetric model pointed out is 4-dimensional or higher-dimensional ? We propose and develop a series of tests for discriminating between a pure supersymmetry (SUSY) and a SUSY realized within the well-motivated warped geometry a la Randall-Sundrum (RS). Two of these tests make use of some different patterns arising in the squark/slepton mass spectrum. The other distinctive RS SUSY feature is the possibly larger (even dominant) Higgs boson decay branching ratios into sleptons, compared to pure SUSY. Techniques for pinning up the presence of soft SUSY breaking terms on the TeV-brane are also suggested, based on the analysis of stop pair production at the International Linear Collider. For all these phenomenological studies, we had first to derive the 4-dimensional (4D) effective couplings and mass matrices of the sfermions and Higgs bosons in RS SUSY. The localization of Higgs bosons, characteristic of RS, leads to singularities in their couplings which are regularized by the exchange contribution of infinite towers of Kaluza-Klein (KK) scalar modes with Dirichlet-Dirichlet boundary conditions. A general method is provided for this regularization, based on the completeness relation. The sfermion masses are obtained either from integrating out those specific KK towers or by treating their mixing effects. Finally, we show at the one-loop level how all quadratic divergences in the Higgs mass cancel out for any cut-off, due to 5D SUSY and to 5D anomaly cancellation; the analytical way followed here also allows a justification of the infinite KK summation required for the so-called KK regularization in 5D SUSY, which has motivated a rich literature.