Can String Theory Predict the Weinberg Angle?

dc.creatorRaby, S.
dc.creatorWingerter, A.
dc.date2007-06-01
dc.date.accessioned2026-07-07T10:56:00Z
dc.date.available2026-07-07T10:56:00Z
dc.descriptionWe investigate whether the hypercharge assignments in the Standard Model can be interpreted as a hint at Grand Unification in the context of heterotic string theory. To this end, we introduce a general method to calculate U(1)_Y for any heterotic orbifold and compare our findings to the cases where hypercharge arises from a GUT. Surprisingly, in the overwhelming majority of 3-2 Standard Models, a non-anomalous hypercharge direction can be defined, for which the spectrum is vector-like. For these models, we calculate sin^2 theta to see how well it agrees with the standard GUT value. We find that 12% have sin^2 theta = 3/8, while all others have values which are less. Finally, 89% of the models with sin^2 theta = 3/8 have U(1)_Y in SU(5).
dc.description35 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0706.0217
dc.identifierhttp://arxiv.org/abs/0706.0217
dc.identifierPhys.Rev.D76:086006,2007
dc.identifierdoi:10.1103/PhysRevD.76.086006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186268
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCan String Theory Predict the Weinberg Angle?
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