LZ-Motivated Pseudo-Dirac Higgsinos in the Supersymmetric 331 Model from the Supersymmetric \texorpdfstring{SU(6)}{SU(6)} GUT Model
Abstract
The high-recoil event reported by LUX--ZEPLIN motivates a neutral electroweak state with an inelastic splitting in the sub-MeV range. We propose supersymmetric 331 model from the supersymmetric SU(6) GUT model, and we study the electroweakino sector relevant to this recoil. Above the $331$-breaking scale hypercharge is not an independent gauge factor, and the leading bino--wino cancellation is replaced by a relation between the physical U(1)X and SU(3)L gaugino invariants, IX=−IL. A singlet--adjoint gauge-kinetic source also correlates the colored invariant. We diagonalize the neutral gauge--Higgs fermion sector of the renormalizable model and determine the tree-level Higgsino splitting without introducing an effective bino mass by hand. The required solutions form a continuous locus in the gaugino and $331$-breaking parameters. At the reference point, the solution lies close to the leading sum rule, while variation of the $331$-breaking coupling moves the locus continuously. The same calculation tests the ordering of the additional neutral states, the gauge/gaugino contribution to the $331$-breaking scalar mass, and the gravitino ordering. We compare this construction with recent SU(5), singlino-assisted, electroweak-multiplet, nuclear-response and solar-capture analyses of the LZ event.
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BibTeX
@misc{khan2026lzmotivated,
title = {{LZ-Motivated Pseudo-Dirac Higgsinos in the Supersymmetric 331 Model from the Supersymmetric \texorpdfstring$SU(6)$SU(6) GUT Model}},
author = {Imtiaz Khan and Ali Muhammad and G. Mustafa and Farruh Atamurotov and Ahmadjon Abdujabbarov and Mussawir Khan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23691},
eprint = {2609.23691},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23691},
}
RIS
TY - UNPB
TI - LZ-Motivated Pseudo-Dirac Higgsinos in the Supersymmetric 331 Model from the Supersymmetric \texorpdfstring{SU(6)}{SU(6)} GUT Model
AU - Imtiaz Khan
AU - Ali Muhammad
AU - G. Mustafa
AU - Farruh Atamurotov
AU - Ahmadjon Abdujabbarov
AU - Mussawir Khan
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23691
UR - https://arxiv.org/abs/2609.23691
AB - The high-recoil event reported by LUX--ZEPLIN motivates a neutral electroweak state with an inelastic splitting in the sub-MeV range. We propose supersymmetric 331 model from the supersymmetric SU(6) GUT model, and we study the electroweakino sector relevant to this recoil. Above the $331$-breaking scale hypercharge is not an independent gauge factor, and the leading bino--wino cancellation is replaced by a relation between the physical U(1)_X and SU(3)_L gaugino invariants, I_X=−I_L. A singlet--adjoint gauge-kinetic source also correlates the colored invariant. We diagonalize the neutral gauge--Higgs fermion sector of the renormalizable model and determine the tree-level Higgsino splitting without introducing an effective bino mass by hand. The required solutions form a continuous locus in the gaugino and $331$-breaking parameters. At the reference point, the solution lies close to the leading sum rule, while variation of the $331$-breaking coupling moves the locus continuously. The same calculation tests the ordering of the additional neutral states, the gauge/gaugino contribution to the $331$-breaking scalar mass, and the gravitino ordering. We compare this construction with recent SU(5), singlino-assisted, electroweak-multiplet, nuclear-response and solar-capture analyses of the LZ event.
ER -