Non-universal gaugino masses from non-singlet F-terms in non-minimal unified models

TL;DR

This paper investigates how non-singlet F-term vacuum expectation values in grand unified theories like SO(10) and E6 can lead to non-universal gaugino masses, correcting previous inaccuracies and extending known results.

Contribution

It computes gaugino mass ratios from non-singlet F-terms in SO(10) and E6, correcting errors and extending results beyond SU(5).

Findings

Gaugino mass ratios depend on F-term representations.

Corrected previous errors in SO(10) gaugino mass calculations.

Extended analysis to E6 and subgroups.

Abstract

In phenomenological studies of low-energy supersymmetry, running gaugino masses are often taken to be equal near the scale of apparent gauge coupling unification. However, many known mechanisms can avoid this universality, even in models with unified gauge interactions. One example is an F-term vacuum expectation value that is a singlet under the Standard Model gauge group but transforms non-trivially in the symmetric product of two adjoint representations of a group that contains the Standard Model gauge group. Here, I compute the ratios of gaugino masses that follow from F-terms in non-singlet representations of SO(10) and E_6 and their sub-groups, extending well-known results for SU(5). The SO(10) results correct some long-standing errors in the literature.