Sparticle Mass Spectrum in Grand Unified Theories

TL;DR

This paper analyzes the sparticle mass spectrum in supersymmetric grand unified theories, showing how measurements can reveal underlying gauge groups and supersymmetry breaking parameters, with considerations of non-universal gaugino masses.

Contribution

It provides an analytical framework for determining supersymmetry breaking parameters from sparticle masses in GUTs, including effects of non-universal gaugino masses and gauge group distinctions.

Findings

Relations between squark and slepton masses can distinguish GUT groups.

Non-universal gaugino masses significantly affect neutralino and chargino spectra.

Analytical integration of one-loop RGEs elucidates mass patterns.

Abstract

We carry out a detailed analysis of sparticle mass spectrum in supersymmetric grand unified theories. We consider the spectroscopy of the squarks and sleptons in SU(5) and SO(10) grand unified theories, and show how the underlying supersymmetry breaking parameters of these theories can be determined from a measurement of different sparticle masses. This analysis is done analytically by integrating the one-loop renormalization group equations with appropriate boundary conditions implied by the underlying grand unified gauge group. We also consider the impact of non-universal gaugino masses on the sparticle spectrum, especially the neutralino and chargino masses which arise in supersymmetric grand unified theories with non-minimal gauge kinetic function. In particular, we study the interrelationships between the squark and slepton masses which arise in grand unified theories at the one-loop level, which can be used to distinguish between the different underlying gauge groups and their breaking pattern to the Standard Model gauge group. We also comment on the corrections that can affect these one-loop results.