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In particle physics, the doublet–triplet (splitting) problem is a problem of some Grand Unified Theories, such as SU(5), SO(10), and . Grand unified theories predict Higgs bosons (doublets of S U ( 2 ) {\displaystyle SU(2)} ) arise from representations of the unified group that contain other states, in particular, states that are triplets of ...
Unfortunately, this same 10 also contains triplets. The masses of the doublets have to be stabilized at the electroweak scale, which is many orders of magnitude smaller than the GUT scale whereas the triplets have to be really heavy in order to prevent triplet-mediated proton decays. See doublet-triplet splitting problem.
This is known as the doublet–triplet (DT) splitting problem: In order to be consistent we have to 'split' the 'masses' of and , but for that we need to fine-tune and . There are however some solutions to this problem (see e.g. [ 3 ] ) which can work quite well in SUSY models.
The exchange of a triplet Higgs with mass M can lead to all of the operators suppressed by /. See Doublet–triplet splitting problem. Proton decay. These graphics refer to the X bosons and Higgs bosons.
Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; Appearance. ... Doublet–triplet splitting problem; F. Flipped SO(10) Flipped ...
The ability of positronium to form both singlet and triplet states is described mathematically by saying that the product of two doublet representations (meaning the electron and positron, which are both spin-1/2 doublets) can be decomposed into the sum of an adjoint representation (the triplet or spin 1 state) and a trivial representation (the ...
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In another molecule a proton resonates at 2.5 ppm and that proton would also be split into two by the proton at 1 ppm. Because the magnitude of interaction is the same, the splitting would have the same coupling constant 7 Hz apart. The spectrum would have two signals, each being a doublet. Each doublet will have the same area because both ...
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